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[svn:einsteintoolkit] Workshop_Spring_2012/handson_analysis/ (Rev. 26)
by roland.haas＠physics.gatech.edu 02 Apr '12

02 Apr '12

User: rhaas Date: 2012/04/02 04:39 PM Modified: /handson_analysis/ Makefile, handson_analysis.tex Log: add slides describing coretracker code units File Changes: Directory: /handson_analysis/ ============================= File [modified]: Makefile Delta lines: +1 -1 =================================================================== --- handson_analysis/Makefile 2012-04-02 15:24:59 UTC (rev 25) +++ handson_analysis/Makefile 2012-04-02 21:39:51 UTC (rev 26) @@ -1,4 +1,4 @@ -all: handson_aanalysis.pdf +all: handson_analysis.pdf %.pdf: %.tex pdflatex $* File [modified]: handson_analysis.tex Delta lines: +58 -7 =================================================================== --- handson_analysis/handson_analysis.tex 2012-04-02 15:24:59 UTC (rev 25) +++ handson_analysis/handson_analysis.tex 2012-04-02 21:39:51 UTC (rev 26) @@ -1,6 +1,7 @@ \input{../preamble.tex} \usepackage{ragged2e} \usepackage{amsmath} +\usepackage{listings} \newcommand{\Heaviside}{\operatorname{\Theta}} \subtitle[Analysis hands-on]{{\large Einstein Toolkit @@ -12,9 +13,12 @@ \begin{document} -\frame{\titlepage} +\begin{frame} +\titlepage +\end{frame} -\frame{\frametitle{Problem description} +\begin{frame} +\frametitle{Problem description} \includegraphics[width=\linewidth]{inspiral_image} {\\\scriptsize image courtesy of NASA} \begin{block}{Motivation} @@ -24,9 +28,10 @@ \item need to track location of star for moving boxed \end{itemize} \end{block} -} +\end{frame} -\frame{\frametitle{Problem description} +\begin{frame} +\frametitle{Problem description} \begin{block}{Requirements} \begin{itemize} \item be able to pick out a single neutron star, among several @@ -44,9 +49,10 @@ influence of outflowing tails \end{itemize} \end{block} -} +\end{frame} -\frame[containsverbatim]{\frametitle{Recipe in formulae} +\begin{frame}[containsverbatim] +\frametitle{Recipe in formulae} \begin{block}{What to compute} \begin{align*} M &= \int \Heaviside(\rho - \rho_{\text{min}}) @@ -65,6 +71,51 @@ \item $\Heaviside$ $\rightarrow$ \verb|if(...)| \end{itemize} \end{block} -} +\end{frame} +\begin{frame} +\frametitle{Entities to define} +\begin{itemize} + \item<1-> \texttt{param.ccl} + \begin{alltt}\color{blue} + CCTK\_REAL density\_threshold\\ + CCTK\_REAL core\_radius\\ + CCTK\_REAL inital\_core\_\{x,y,z\} + \end{alltt} + \item<2-> \texttt{interface.ccl} + \begin{alltt}\color{blue} + CCTK\_REAL core\_density\_gf type=gf\\ + \hspace{1cm}core\_density\_\{x,y,z\}\\ + \hspace{1cm}core\_density\\ + CCTK\_REAL core\_location type=scalar\\ + \hspace{1cm}core\_[xyz] + \end{alltt} +\end{itemize} +\end{frame} + +\begin{frame}[fragile] +\frametitle{Algorithm outline} +\begin{itemize} + \item<1-> \texttt{CCTK\_INITIAL} copy initial location into evolution variables + \begin{alltt}\color{blue} +*core\_x = initial\_core\_x\ + \end{alltt} +\item<2-> \texttt{MoL\_PseudoEvolution} evaluate integrand on current time-slice +\begin{alltt}\color{blue} +if(distance2 < SQR(core\_radius) + rho[idx] >= threshold\_density) \{ + core\_density\_x[idx] = x[idx] * rho[idx]; + core\_density[idx] = rho[idx]; +\} else \{ + core\_density\_x[idx] = 0.; + core\_density[idx] = 0.; +\} +\end{alltt} +\item<3-> \texttt{CCTK\_ANALYSIS} compute \texttt{sum} reduction on integrand +\begin{alltt}\color{blue} +CCTK\_Reduce(cctkGH, -1, handle\_sum, 1, CCTK\_VARIABLE\_REAL, + core\_x, 1, varindex); +\end{alltt} +\end{itemize} +\end{frame} \end{document}

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[McLachlan]McLachlan branch, cakernel, updated. 7a226e25dcd3d87a753866fa7a1411da98fc27f2
by Carpet git repositories 02 Apr '12

02 Apr '12

This is an automated email from the git hooks/post-receive script. It was generated because a ref change was pushed to the repository containing the project "McLachlan". The branch, cakernel has been updated via 7a226e25dcd3d87a753866fa7a1411da98fc27f2 (commit) via 9c523ab36f3f1d1d3bf44168e3181b244440c96c (commit) via b4441dcfbdd5069bb5261f7ac3354188d06fd2b8 (commit) via 9a1e28e4d470800e114759b6270c3fcf5669a143 (commit) from e80cc5a1c818c9c22021f531739fe94832b10180 (commit) Those revisions listed above that are new to this repository have not appeared on any other notification email; so we list those revisions in full, below. - Log ----------------------------------------------------------------- commit 7a226e25dcd3d87a753866fa7a1411da98fc27f2 Author: Ian Hinder <ian.hinder(a)aei.mpg.de> Date: Mon Apr 2 19:31:42 2012 +0200 Regenerate ML_BSSN and ML_BSSN_Host commit 9c523ab36f3f1d1d3bf44168e3181b244440c96c Author: Ian Hinder <ian.hinder(a)aei.mpg.de> Date: Mon Apr 2 19:31:20 2012 +0200 McLachlan_BSSN.m: Split advection calculation in Kranc, not McLachlan commit b4441dcfbdd5069bb5261f7ac3354188d06fd2b8 Author: Ian Hinder <ian.hinder(a)aei.mpg.de> Date: Mon Apr 2 18:26:57 2012 +0200 Regenerate ML_BSSN and ML_BSSN_Host commit 9a1e28e4d470800e114759b6270c3fcf5669a143 Author: Ian Hinder <ian.hinder(a)aei.mpg.de> Date: Mon Apr 2 18:26:34 2012 +0200 McLachlan_BSSN.m: Split Advect calculation into one per tensor ----------------------------------------------------------------------- Summary of changes: ML_BSSN/cakernel.ccl | 822 +++++++++++++++++--- ML_BSSN/param.ccl | 292 +++++++- ML_BSSN/schedule.ccl | 260 ++++++- ML_BSSN/src/CaKernel__ML_BSSN_Advect.code | 475 ----------- ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotA.code | 121 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotAt11.code | 111 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotAt12.code | 111 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotAt13.code | 111 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotAt22.code | 111 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotAt23.code | 111 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotAt33.code | 111 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotB1.code | 121 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotB2.code | 121 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotB3.code | 121 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotXt1.code | 110 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotXt2.code | 110 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotXt3.code | 110 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotalpha.code | 111 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotbeta1.code | 110 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotbeta2.code | 110 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotbeta3.code | 110 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotgt11.code | 111 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotgt12.code | 111 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotgt13.code | 111 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotgt22.code | 111 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotgt23.code | 111 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotgt33.code | 111 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotphi.code | 110 +++ ML_BSSN/src/CaKernel__ML_BSSN_Advect_dottrK.code | 110 +++ ML_BSSN_Host/param.ccl | 292 +++++++- ML_BSSN_Host/schedule.ccl | 236 +++++- ML_BSSN_Host/src/ML_BSSN_Host_Advect.cc | 500 ------------ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotA.cc | 184 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotAt11.cc | 176 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotAt12.cc | 176 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotAt13.cc | 176 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotAt22.cc | 176 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotAt23.cc | 176 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotAt33.cc | 176 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotB1.cc | 184 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotB2.cc | 184 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotB3.cc | 184 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotXt1.cc | 176 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotXt2.cc | 176 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotXt3.cc | 176 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotalpha.cc | 176 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotbeta1.cc | 174 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotbeta2.cc | 174 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotbeta3.cc | 174 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotgt11.cc | 176 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotgt12.cc | 176 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotgt13.cc | 176 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotgt22.cc | 176 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotgt23.cc | 176 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotgt33.cc | 176 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dotphi.cc | 176 +++++ ML_BSSN_Host/src/ML_BSSN_Host_Advect_dottrK.cc | 176 +++++ ML_BSSN_Host/src/make.code.defn | 2 +- m/McLachlan_BSSN.m | 12 + 59 files changed, 8979 insertions(+), 1145 deletions(-) delete mode 100644 ML_BSSN/src/CaKernel__ML_BSSN_Advect.code create mode 100644 ML_BSSN/src/CaKernel__ML_BSSN_Advect_dotA.code create mode 100644 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[svn:einsteintoolkit] Workshop_Spring_2012/handson_analysis/ (Rev. 25)
by roland.haas＠physics.gatech.edu 02 Apr '12

02 Apr '12

User: rhaas Date: 2012/04/02 10:25 AM Added: /handson_analysis/ Makefile, handson_analysis.tex, inspiral_image.jpg /handson_analysis/Cactus/ /handson_analysis/Cactus/arrangements/ /handson_analysis/Cactus/arrangements/Introduction/ /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v0/ README, configuration.ccl, interface.ccl, param.ccl, schedule.ccl /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v0/src/ coretracker.c, make.code.defn, movingblob.c /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v0/test/ test_blob_moving.par /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v0/test/test_blob_moving/ coretracker::core_location..asc, coretracker::moving_blob_location..asc, hydrobase::rho.d.asc, hydrobase::rho.x.asc, hydrobase::rho.y.asc, hydrobase::rho.z.asc, rho.maximum.asc, rho.minimum.asc, rho.norm1.asc, rho.norm2.asc /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v1/ README, configuration.ccl, interface.ccl, param.ccl, schedule.ccl /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v1/src/ coretracker.c, make.code.defn, movingblob.c /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v1/test/ test_blob_moving.par /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v1/test/test_blob_moving/ coretracker::core_location..asc, coretracker::moving_blob_location..asc, hydrobase::rho.d.asc, hydrobase::rho.x.asc, hydrobase::rho.y.asc, hydrobase::rho.z.asc, rho.maximum.asc, rho.minimum.asc, rho.norm1.asc, rho.norm2.asc /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v2/ README, configuration.ccl, interface.ccl, param.ccl, schedule.ccl /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v2/src/ coretracker.c, make.code.defn, movingblob.c /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v3/ README, configuration.ccl, interface.ccl, param.ccl, schedule.ccl /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v3/src/ coretracker.c, make.code.defn, movingblob.c /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v4/ README, configuration.ccl, interface.ccl, param.ccl, schedule.ccl /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v4/src/ coretracker.c, make.code.defn /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v5/ README, configuration.ccl, interface.ccl, param.ccl, schedule.ccl /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v5/src/ coretracker.c, make.code.defn, movingblob.c /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v5/test/ test_blob_moving.par /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v5/test/test_blob_moving/ coretracker::core_location..asc, coretracker::moving_blob_location..asc, hydrobase::rho.d.asc, hydrobase::rho.x.asc, hydrobase::rho.y.asc, hydrobase::rho.z.asc, rho.maximum.asc, rho.minimum.asc, rho.norm1.asc, rho.norm2.asc /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v6/ README, configuration.ccl, interface.ccl, param.ccl, schedule.ccl /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v6/src/ coretracker.c, make.code.defn, movingblob.c /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v6/test/ test_blob_moving.par /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v6/test/test_blob_moving/ coretracker::core_location..asc, coretracker::moving_blob_location..asc, hydrobase::rho.d.asc, hydrobase::rho.x.asc, hydrobase::rho.y.asc, hydrobase::rho.z.asc, rho.maximum.asc, rho.minimum.asc, rho.norm1.asc, rho.norm2.asc /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v7/ README, configuration.ccl, interface.ccl, param.ccl, schedule.ccl /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v7/src/ coretracker.c, make.code.defn, movingblob.c /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v8/ README, configuration.ccl, interface.ccl, param.ccl, schedule.ccl /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v8/src/ coretracker.c, make.code.defn Log: source code for core tracker example, ugly first pages of slides comments very welcome File Changes: Directory: /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v0/ ============================================================================= File [added]: README Delta lines: <Unavailable> File [added]: configuration.ccl Delta lines: <Unavailable> File [added]: interface.ccl Delta lines: <Unavailable> File [added]: param.ccl Delta lines: <Unavailable> File [added]: schedule.ccl Delta lines: <Unavailable> Directory: /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v1/ ============================================================================= File [added]: README Delta lines: <Unavailable> File [added]: configuration.ccl Delta lines: <Unavailable> File [added]: interface.ccl Delta lines: <Unavailable> File [added]: param.ccl Delta lines: <Unavailable> 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configuration.ccl Delta lines: <Unavailable> File [added]: interface.ccl Delta lines: <Unavailable> File [added]: param.ccl Delta lines: <Unavailable> File [added]: schedule.ccl Delta lines: <Unavailable> Directory: /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v7/ ============================================================================= File [added]: README Delta lines: <Unavailable> File [added]: configuration.ccl Delta lines: <Unavailable> File [added]: interface.ccl Delta lines: <Unavailable> File [added]: param.ccl Delta lines: <Unavailable> File [added]: schedule.ccl Delta lines: <Unavailable> Directory: /handson_analysis/Cactus/arrangements/Introduction/CoreTracker_v8/ ============================================================================= File [added]: README Delta lines: <Unavailable> File [added]: configuration.ccl Delta lines: <Unavailable> File [added]: interface.ccl Delta lines: <Unavailable> File [added]: param.ccl Delta lines: <Unavailable> 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[svn:einsteintoolkit] Workshop_Spring_2012/numerical_relativity/ (Rev. 24)
by knarf＠cct.lsu.edu 01 Apr '12

01 Apr '12

User: knarf Date: 2012/04/01 09:43 PM Removed: /numerical_relativity/ preamble.tex Log: use global preable.tex File Changes: Directory: /numerical_relativity/ ================================= File [removed]: preamble.tex Delta lines: +0 -73 =================================================================== --- numerical_relativity/preamble.tex 2012-04-02 02:43:30 UTC (rev 23) +++ numerical_relativity/preamble.tex 2012-04-02 02:43:50 UTC (rev 24) @@ -1,73 +0,0 @@ -\documentclass{beamer} - -\usepackage[utf8]{inputenc} -%\usepackage{beamerthemesplit} -\usepackage{url} -\usepackage{hyperref} -\usepackage{tikz} -\usepackage{alltt} - -\usetheme{Madrid} -\definecolor{cactusgreen}{RGB}{132,186,75} -\graphicspath{{pics/}} - -\newcommand{\ilshell}[1]{\colorbox{lightgray}{\small{\texttt{#1}}}} -\newcommand{\shell}[1]{\hspace{1cm}\colorbox{lightgray}{\small{\texttt{#1}}}} - -\hyphenation{Cac-tus-Ein-stein Schwarz-schild vacuum in-fra-struc-ture} - -% \logo{\includegraphics[height=1cm]{pics/cactuslogo.png}} - -% We want to use the infolines outer theme because it uses so less space, but -% it also tries to print an institution (which we do not have) and the slide -% numbers (which we might not want to show). Therefore, we here redefine the -% footline ourselfes - mostly a copy & paste from -% /usr/share/texmf/tex/latex/beamer/themes/outer/beamerouterthemeinfolines.sty -\defbeamertemplate*{footline}{infolines theme without institution and slide numbers} -{ - \leavevmode% - \hbox{% - \begin{beamercolorbox}[wd=.333333\paperwidth,ht=2.25ex,dp=1ex,center]{author in head/foot}% - \usebeamerfont{author in head/foot}\insertshortauthor - \end{beamercolorbox}% - \begin{beamercolorbox}[wd=.333333\paperwidth,ht=2.25ex,dp=1ex,center]{title in head/foot}% - \usebeamerfont{title in head/foot}\insertshorttitle - \end{beamercolorbox}% - \begin{beamercolorbox}[wd=.333333\paperwidth,ht=2.25ex,dp=1ex,center]{date in head/foot}% - \usebeamerfont{date in head/foot}\insertshortdate{} - \end{beamercolorbox}}% - \vskip0pt% -} - -% For some reason this is not displayed by default. This is just a copy & paste -% from the same file as the footline -\defbeamertemplate*{headline}{infolines theme with sections/subsections} -{ - \leavevmode% - \hbox{% - \begin{beamercolorbox}[wd=.5\paperwidth,ht=2.25ex,dp=1ex,right]{section in head/foot}% - \usebeamerfont{section in head/foot}\insertsectionhead\hspace*{2ex} - \end{beamercolorbox}% - \begin{beamercolorbox}[wd=.5\paperwidth,ht=2.25ex,dp=1ex,left]{subsection in head/foot}% - \usebeamerfont{subsection in head/foot}\hspace*{2ex}\insertsubsectionhead - \end{beamercolorbox}}% - \vskip0pt% -} - -\newcommand{\abspic}[4] - {\vspace{ #2\paperheight}\hspace{ #3\paperwidth}\includegraphics[height=#4\paperheight]{#1}\\ - \vspace{-#2\paperheight}\vspace{-#4\paperheight}\vspace{-0.0038\paperheight}} - -% Make a todo comment stand out visually -\newcommand{\todo}[1]{{~\textbf{\color{red}[TODO: #1]}}} - -\newcommand{\tg}{\tilde\gamma} -\newcommand{\tG}{\tilde\Gamma} -\newcommand{\tA}{\tilde A} -\newcommand{\tK}{\tilde K} -\newcommand{\lb}{{\cal L}_\beta} -\newcommand{\dt}{(\partial_t - {\cal L}_\beta)\;} -\newcommand{\tr}{\mbox{tr}} -\newcommand{\lbt}[4]{\beta^{#4}\partial_{#4}#1_{#2#3}+#1_{#2#4}\partial_{#3}\beta^{#4}+#1_{#3#4}\partial_{#2}\beta^{#4}-\frac{2}{3}#1_{#2#3}\partial_{#4}\beta^{#4}} - -\newlength{\vs}

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[svn:einsteintoolkit] Workshop_Spring_2012/ (Rev. 23)
by knarf＠cct.lsu.edu 01 Apr '12

01 Apr '12

User: knarf Date: 2012/04/01 09:43 PM Removed: /scientific_viz/ preamble.tex Modified: / preamble.tex /numerical_relativity/ numerical_relativity.tex /scientific_viz/ scientific_viz.tex Log: use global preable.tex Directory Changes: Directory: /numerical_relativity/ ================================= Property changes on: numerical_relativity ___________________________________________________________________ Directory: /scientific_viz/ =========================== Property changes on: scientific_viz ___________________________________________________________________ Directory: /svn:ignore/ ======================= + *.log *.nav *.toc *.out *.aux *.snm File Changes: Directory: / ============ File [modified]: preamble.tex Delta lines: +11 -1 =================================================================== --- preamble.tex 2012-04-02 02:33:59 UTC (rev 22) +++ preamble.tex 2012-04-02 02:43:30 UTC (rev 23) @@ -1,4 +1,4 @@ -\documentclass[xcolor=usenames,xcolor=dvipsnames]{beamer} +\documentclass{beamer} \usepackage[utf8]{inputenc} \usepackage{beamerthemesplit} @@ -61,4 +61,14 @@ % Make a todo comment stand out visually \newcommand{\todo}[1]{{~\textbf{\color{red}[TODO: #1]}}} +\newcommand{\tg}{\tilde\gamma} +\newcommand{\tG}{\tilde\Gamma} +\newcommand{\tA}{\tilde A} +\newcommand{\tK}{\tilde K} +\newcommand{\lb}{{\cal L}_\beta} +\newcommand{\dt}{(\partial_t - {\cal L}_\beta)\;} +\newcommand{\tr}{\mbox{tr}} +\newcommand{\lbt}[4]{\beta^{#4}\partial_{#4}#1_{#2#3}+#1_{#2#4}\partial_{#3}\beta^{#4}+#1_{#3#4}\partial_{#2}\beta^{#4}-\frac{2}{3}#1_{#2#3}\partial_{#4}\beta^{#4}} +\newlength{\vs} + Directory: /numerical_relativity/ ================================= File [modified]: numerical_relativity.tex Delta lines: +1 -1 =================================================================== --- numerical_relativity/numerical_relativity.tex 2012-04-02 02:33:59 UTC (rev 22) +++ numerical_relativity/numerical_relativity.tex 2012-04-02 02:43:30 UTC (rev 23) @@ -1,4 +1,4 @@ -\input{preamble} +\input{../preamble} \usepackage{ragged2e} \usecolortheme[RGB={200,200,200}]{structure} Directory: /scientific_viz/ =========================== File [removed]: preamble.tex Delta lines: +0 -67 =================================================================== --- scientific_viz/preamble.tex 2012-04-02 02:33:59 UTC (rev 22) +++ scientific_viz/preamble.tex 2012-04-02 02:43:30 UTC (rev 23) @@ -1,67 +0,0 @@ -\documentclass{beamer} - -\usepackage[utf8]{inputenc} -\usepackage{beamerthemesplit} -\usepackage{url} -\usepackage{hyperref} -%\usepackage{tikz} -\usepackage{alltt} -%\usepackage{marvosym} - -\usetheme{Madrid} -\usecolortheme[RGB={77,83,186}]{structure} -%\usecolortheme[RGB={132,186,75}]{structure} -\definecolor{cactusgreen}{RGB}{132,186,75} -\graphicspath{{pics/}} - -\newcommand{\ilshell}[1]{\colorbox{lightgray}{\small{\texttt{#1}}}} -\newcommand{\shell}[1]{\hspace{1cm}\colorbox{lightgray}{\small{\texttt{#1}}}} - -\hyphenation{Cac-tus-Ein-stein Schwarz-schild vacuum in-fra-struc-ture} - -% \logo{\includegraphics[height=1cm]{pics/cactuslogo.png}} - -% We want to use the infolines outer theme because it uses so less space, but -% it also tries to print an institution (which we do not have) and the slide -% numbers (which we might not want to show). Therefore, we here redefine the -% footline ourselfes - mostly a copy & paste from -% /usr/share/texmf/tex/latex/beamer/themes/outer/beamerouterthemeinfolines.sty -\defbeamertemplate*{footline}{infolines theme without institution and slide numbers} -{ - \leavevmode% - \hbox{% - \begin{beamercolorbox}[wd=.333333\paperwidth,ht=2.25ex,dp=1ex,center]{author in head/foot}% - \usebeamerfont{author in head/foot}\insertshortauthor - \end{beamercolorbox}% - \begin{beamercolorbox}[wd=.333333\paperwidth,ht=2.25ex,dp=1ex,center]{title in head/foot}% - \usebeamerfont{title in head/foot}\insertshorttitle - \end{beamercolorbox}% - \begin{beamercolorbox}[wd=.333333\paperwidth,ht=2.25ex,dp=1ex,center]{date in head/foot}% - \usebeamerfont{date in head/foot}\insertshortdate{} - \end{beamercolorbox}}% - \vskip0pt% -} - -% For some reason this is not displayed by default. This is just a copy & paste -% from the same file as the footline -\defbeamertemplate*{headline}{infolines theme with sections/subsections} -{ - \leavevmode% - \hbox{% - \begin{beamercolorbox}[wd=.5\paperwidth,ht=2.25ex,dp=1ex,right]{section in head/foot}% - \usebeamerfont{section in head/foot}\insertsectionhead\hspace*{2ex} - \end{beamercolorbox}% - \begin{beamercolorbox}[wd=.5\paperwidth,ht=2.25ex,dp=1ex,left]{subsection in head/foot}% - \usebeamerfont{subsection in head/foot}\hspace*{2ex}\insertsubsectionhead - \end{beamercolorbox}}% - \vskip0pt% -} - -%\newcommand{\abspic}[4] -% {\vspace{ #2\paperheight}\hspace{ #3\paperwidth}\includegraphics[height=#4\paperheight]{#1}\\ -% \vspace{-#2\paperheight}\vspace{-#4\paperheight}\vspace{-0.0038\paperheight}} - -% Make a todo comment stand out visually -\newcommand{\todo}[1]{{~\textbf{\color{red}[TODO: #1]}}} - - File [modified]: scientific_viz.tex Delta lines: +3 -1 =================================================================== --- scientific_viz/scientific_viz.tex 2012-04-02 02:33:59 UTC (rev 22) +++ scientific_viz/scientific_viz.tex 2012-04-02 02:43:30 UTC (rev 23) @@ -1,8 +1,9 @@ -\input{preamble} +\input{../preamble} \usepackage{listings} \usepackage{amsmath} \usepackage{ragged2e} + %% Have 1 hour, end with overview of hands-on %% %% (or put this into a separate file) %% @@ -11,6 +12,7 @@ \titlegraphic{\includegraphics[height=3cm]{../pics/einstein_flip}} \date{5. April 2012} +\usecolortheme[RGB={77,83,186}]{structure} \begin{document} \section{Scientific Visualization}

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[svn:einsteintoolkit] Workshop_Spring_2012/ (Rev. 22)
by knarf＠cct.lsu.edu 01 Apr '12

01 Apr '12

User: knarf Date: 2012/04/01 09:33 PM Added: /pics/ AmdahlsLaw.pdf, AmdahlsLaw.svg, Climate-Model.jpg, Opensource.pdf, Opensource.svg, Top500.pdf, Top500.svg, atlanta_forecast.png, c64.jpg, chemist.png, complexity_network.jpg, computer_scientist.png, cyber.png, galaxycluster.jpg, genes.jpg, katrina-08-28-2005.jpg, mpi_logo.jpg, opencl_logo.jpg, openmp_logo.jpg, performance.png, pit-stop.jpg, planet_collision.jpg, porous.png, pragmatic.jpg, puzzle.jpeg, ranger.jpg, speedboat.jpg, sun_space.jpg, tornado.png Modified: /cactus_intro/ cactus_intro.tex /hpc_intro/ hpc_intro.tex Log: beautify hpc intro File Changes: Directory: /cactus_intro/ ========================= File [modified]: cactus_intro.tex Delta lines: <Unavailable> Directory: /hpc_intro/ ====================== File [modified]: hpc_intro.tex Delta lines: <Unavailable> Directory: /pics/ ================= File [added]: AmdahlsLaw.pdf Delta lines: <Unavailable> File [added]: AmdahlsLaw.svg Delta lines: <Unavailable> File [added]: Climate-Model.jpg Delta lines: <Unavailable> File [added]: Opensource.pdf Delta lines: <Unavailable> File [added]: Opensource.svg Delta lines: <Unavailable> File [added]: Top500.pdf Delta lines: <Unavailable> File [added]: Top500.svg Delta lines: <Unavailable> File [added]: atlanta_forecast.png Delta lines: <Unavailable> File [added]: c64.jpg Delta lines: <Unavailable> File [added]: chemist.png Delta lines: <Unavailable> File [added]: complexity_network.jpg Delta lines: <Unavailable> File [added]: computer_scientist.png Delta lines: <Unavailable> File [added]: cyber.png Delta lines: <Unavailable> File [added]: galaxycluster.jpg Delta lines: <Unavailable> File [added]: genes.jpg Delta lines: <Unavailable> File [added]: katrina-08-28-2005.jpg Delta lines: <Unavailable> File [added]: mpi_logo.jpg Delta lines: <Unavailable> File [added]: opencl_logo.jpg Delta lines: <Unavailable> File [added]: openmp_logo.jpg Delta lines: <Unavailable> File [added]: performance.png Delta lines: <Unavailable> File [added]: pit-stop.jpg Delta lines: <Unavailable> File [added]: planet_collision.jpg Delta lines: <Unavailable> File [added]: porous.png Delta lines: <Unavailable> File [added]: pragmatic.jpg Delta lines: <Unavailable> File [added]: puzzle.jpeg Delta lines: <Unavailable> File [added]: ranger.jpg Delta lines: <Unavailable> File [added]: speedboat.jpg Delta lines: <Unavailable> File [added]: sun_space.jpg Delta lines: <Unavailable> File [added]: tornado.png Delta lines: <Unavailable>

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[svn:einsteintoolkit] Workshop_Spring_2012/numerical_relativity/ (Rev. 21)
by diener＠cct.lsu.edu 01 Apr '12

01 Apr '12

User: diener Date: 2012/04/01 08:52 PM Added: /numerical_relativity/ Makefile, numerical_relativity.tex, preamble.tex Log: The beginning of material for introduction to numerical methods & numerical relativity. File Changes: Directory: /numerical_relativity/ ================================= File [added]: Makefile Delta lines: +10 -0 =================================================================== --- numerical_relativity/Makefile (rev 0) +++ numerical_relativity/Makefile 2012-04-02 01:52:31 UTC (rev 21) @@ -0,0 +1,10 @@ +all: numerical_relativity.pdf + +%.pdf: %.tex + pdflatex $* + +clean: + /bin/bash -exec "rm -f numerical_relativity.{aux,log,nav,out,snm,pdf,toc}" + +.PHONY: all clean + File [added]: numerical_relativity.tex Delta lines: +217 -0 =================================================================== --- numerical_relativity/numerical_relativity.tex (rev 0) +++ numerical_relativity/numerical_relativity.tex 2012-04-02 01:52:31 UTC (rev 21) @@ -0,0 +1,217 @@ +\input{preamble} +\usepackage{ragged2e} +\usecolortheme[RGB={200,200,200}]{structure} + +\subtitle[Introduction to numerical methods \& numerical Relativity]{{\large Einstein Toolkit Workshop}\\*[0.3em] Numerical methods for spacetime and matter evolution} +\author[\mbox{Peter Diener \& Bruno Mundim}]{Dr Peter Diener \& Dr Bruno Mundim} +\date{Apr 05 2012} + +\begin{document} + +\frame{\titlepage} + +\frame{\frametitle{Outline} + \begin{itemize} +% \item 3+1 spacetime decomposition. + \item The BSSN formulation. + \item Puncture data. +% \item Finite Differencing. +% \item The method of lines. + \end{itemize} +} + +\frame{\frametitle{The BSSN formulation} +The 3+1 ADM evolution equations are +\begin{align} +\dt \gamma_{ij} &= - 2 \alpha K_{ij}, \label{dgdt} \\ +\dt K_{ij} &= - D_i D_j \alpha + \alpha (R_{ij} + K K_{ij} +- 2 K_{ik} {K^k}{}_j), \label{dKdt} +\end{align} +and the constraints are +\begin{align} +{\cal H} & \equiv R + K^2 - K_{ij} K^{ij} = 0, \\ +{\cal M}^i & \equiv D_j (K^{ij} - \gamma^{ij} K) = 0. +\end{align} +These equations were used a lot in the early years of numerical relativity. + +However, it was later discovered that the ADM evolution equations are only +weakly hyperbolic. + +In the mid to late 90's a new formulation was introduced that proved to be +much more robust and stable: The BSSN formulation. +} + +\frame{\frametitle{The BSSN formulation (continued)} +\setlength{\vs}{-1.5ex} +Introduce a conformal rescaling of the three metric\vspace{\vs} +\begin{equation} +\gamma_{ij} = \psi^4 \tg_{ij}.\vspace{\vs} +\end{equation} +We choose $\psi = \gamma^{1/12}$ such that the determinant of $\tg_{ij}$ is 1\vspace{\vs} +\begin{equation} +\mathrm{det}(\tg_{ij}) = \mathrm{det}(\psi^{-4}\gamma_{ij}) = +\mathrm{det}(\gamma^{-1/3}\gamma_{ij}) = +\gamma^{-1} \mathrm{det}(\gamma_{ij}) = 1. \vspace{\vs} +\end{equation} +In addition we introduce a trace decomposition of the extrinsic curvature.\vspace{\vs} +\begin{align} +K & = \gamma^{ij} K_{ij}, \\ +A_{ij} & = K_{ij} - \frac{1}{3} \gamma_{ij} K.\vspace{\vs} +\end{align} +We then promote the following variables to evolution variables\vspace{\vs} +\begin{align} + \phi &= \ln \psi = \frac{1}{12} \ln \gamma, +\\ + K &= \gamma_{ij} K^{ij}, +\\ + \tg_{ij} &= e^{-4\phi} \gamma_{ij}, +\\ + \tA_{ij} &= e^{-4\phi} A_{ij}. +\end{align} +} + +\frame{\frametitle{The BSSN formulation (continued)} +We finally additionally promote the conformal connection functions +\begin{equation} + \tG^i = \tg^{jk} \tG^i{}_{jk} = - \partial_j \tg^{ij}, +\end{equation} +to evolved variables as well. +The final set of evolution variables are $\phi$, $K$, $\tg_{ij}$, $\tA_{ij}$ +and $\tG^i$. + +The BSSN evolution equations can be derived from the ADM equations. As an +example take the equation for $\phi$. +\begin{equation} +\dt \phi = \partial_0\phi = \partial_0 \left (\frac{1}{12}\ln\gamma\right) += \frac{1}{12}\frac{1}{\gamma}\partial_0\gamma. +\end{equation} +Using the expression for the derivative of the determinant of the metric +in terms of the derivatives of the metric ($\partial_0\gamma = \gamma +\gamma^{ij} \partial_0\gamma_{ij}$) we find +\begin{equation} +\dt \phi = \partial_0\phi = \frac{1}{12}\gamma^{ij}\partial_0\gamma_{ij} = +\frac{1}{12}\gamma^{ij}(-2\alpha K_{ij}) = -\frac{1}{6}\alpha K. +\end{equation} +} + +\frame{\frametitle{The BSSN formulation (continued)} +The evolution equation for all the BSSN variables are +\begin{align} + \partial_t \tg_{ij} = {} & -2 \alpha \tA_{ij} + \lbt{\tg}{i}{j}{k}, \\ + \partial_t \phi = {} & - \frac{1}{6} \alpha K + \beta^{k}\partial_{k}\phi + + \frac{1}{6}\partial_{k}\beta^{k} , \\ + \partial_t \tA_{ij} = {} & e^{-4\phi} [ - D_i D_j \alpha + + \alpha R_{ij}]^{TF} + + \alpha (K \tA_{ij} - 2 \tA_{ik} \tA^k{}_j) \nonumber \\ + & + \lbt{\tA}{i}{j}{k}, \\ + \partial_t K = {} & - D^i D_i \alpha + \;\alpha (\tA_{ij} \tA^{ij} + + \frac{1}{3} K^2) + \beta^{k}\partial_{k} K, \\ + \partial_t \tG^i = {} & \tilde\gamma^{jk} \partial_j\partial_k \beta^i ++ \frac{1}{3} \tilde\gamma^{ij} \partial_j\partial_k\beta^k ++ \beta^j\partial_j \tilde\Gamma^i - \tilde\Gamma^j \partial_j \beta^i ++ \frac{2}{3} \tilde\Gamma^i \partial_j\beta^j +\nonumber \\ +& - 2 \tilde{A}^{ij} \partial_j\alpha ++ 2 \alpha ( \tilde{\Gamma}^i{}_{jk} \tilde{A}^{jk} + 6 \tilde{A}^{ij} +\partial_j \phi - \frac{2}{3} \tg^{ij} \partial_j K). +\end{align}%\vspace{\vs} +} + +\frame{\frametitle{The BSSN formulation (continued)} +%\raisebox{-1.2\vs}[0pt][0pt]{ +Here $R_{ij} = \tilde{R}_{ij} + R^{\phi}_{ij}$, where\vspace{1.0\vs} +%}\vspace{\vs} +\begin{align} +R^{\phi}_{ij} = {} & - 2 \tilde{D}_i +\tilde{D}_j \phi - 2 \tilde{\gamma}_{ij} +\tilde{D}^k \tilde{D}_k \phi + 4 \tilde{D}_i \phi \; \tilde{D}_j \phi +- 4 \tilde{\gamma}_{ij} \tilde{D}^k \phi \; \tilde{D}_k \phi , \\ +\tilde R_{ij} = {} & - \frac{1}{2} \tg^{lm} \partial_l \partial_m +\tg_{ij} + \tg_{k(i} \partial_{j)} \tG^k + \tG^k \tG_{(ij)k} \nonumber \\ + & + \tg^{lm} \left( 2 \tG^k{}_{l(i} \tG_{j)km} + \tG^k{}_{im} \tG_{klj} \right). +\end{align} +} + +\frame{\frametitle{The BSSN formulation (continued)} +The constraints are +\setlength{\jot}{3pt} +\begin{align} +\tilde{{\cal H}} & \equiv R + \frac{2}{3} K^2 - \tA_{ij} \tA^{ij} = 0, \\ +\tilde{{\cal M}}^i & \equiv \tilde{D}_j\tA^{ij}+6 \tA^{ij}\partial_j\phi - +\frac{2}{3}\tg^{ij}\partial_j K = 0, \\ +\tilde{{\cal G}} & \equiv \tg-1 = 0, \\ +\tilde{{\cal A}} & \equiv \tg^{ij}\tA_{ij} = 0, \\ +\tilde{{\cal L}}^{i} & \equiv \tG^{i}+\partial_j\tg^{ij} = 0. +\end{align} +The constraints $\tilde{{\cal G}}$ and $\tilde{{\cal A}}$ are enforced actively +at each timestep. + +The other constraints ($\tilde{{\cal H}}$, $\tilde{{\cal M}}^i$ and +$\tilde{{\cal L}}^{i}$) are not enforced. + +To improve stability and to help maintain $\tilde{{\cal L}}^{i}$ at a low level +the following rule is employed in an implementation +\begin{itemize} +\item Where derivatives of $\tG^{i}$ are needed the evolved $\tG^{i}$ are used + directly. +\item Where $\tG^{i}$ are needed without taking derivatives + $\tg^{jk}\tG^{i}{}_{jk}$ are used instead. +\end{itemize} +} + +\frame{\frametitle{The BSSN formulation (continued)} +In order to evolve a spacetime with the BSSN equations, you have to specify +the gauges $\alpha$ and $\beta^{i}$. + +Most codes use the ``moving puncture'' gauges +\begin{align} +\partial_t \alpha & = - 2\alpha K +\beta^i \partial_i\alpha, \\ +\partial_t\beta^i & = \frac{3}{4} B^i + \beta^j\partial_j\beta^i, \\ +\partial_t B^i & = \partial_t\tG^i - \eta B^i + \beta^j\partial_j(B^i-\tG^i) +\end{align} +or slight variations thereof for black hole spacetime evolutions. +} + +\frame{\frametitle{Puncture data} +\setlength{\vs}{-0.8ex} +The puncture approach to binary black hole initial data is\vspace{\vs} +\begin{equation} +\gamma^{\mathrm{ph}}_{ij} = \psi^4\gamma_{ab}, \mbox{\hspace{2em}} K^{\mathrm{ph}}_{ij} = \psi^{-2} K_{ij}, +\end{equation} +where $\gamma_{ij}$ is chosen to be the flat metric and $K_{ij}$ is assumed +to be tracefree. \\ +The constraint equations become\vspace{\vs} +\begin{align} +0 & = \Delta\psi +\frac{1}{8}K^{ij}K_{ij}\psi^{-7} \\ +0 & = D_j K^{ij}. +\end{align} +The momentum constraint has an analytic solution\vspace{\vs} +\begin{align} +K^{ij}_{\mathrm{BY}} = {} & \frac{3}{2r^2}\left ( P^i n^j + P^j n^i - + (\gamma^{ij}-n^i n^j) P^k n_k\right ) \nonumber \\ +& +\frac{3}{r^3}\left (\epsilon^{ikl}S_k n_l n^j+ + \epsilon^{jkl}S_k n_l n^i\right). +\end{align} +$P^i$ and $S^i$ are the linear momentum and spin of the black hole. +} + +\frame{\frametitle{Puncture data (continued)} +\setlength{\vs}{-0.8ex} +For $K_{ij} = 0$ the Hamiltonian constraint has a simple solution for $N$ black holes. +\begin{equation} +\psi = 1+\sum_{i=1}^N\frac{m_i}{2|\vec{r}-\vec{r}_i|}. +\end{equation} +Inspired by this, for $K_{ij}\ne 0$ we make the ansatz +\begin{equation} +\psi=\frac{1}{\alpha}+u, \mbox{\hspace{2em}} +\frac{1}{\alpha} = \sum_{i=1}^N\frac{m_i}{2|\vec{r}-\vec{r}_i|}, +\end{equation} +In which case the Hamiltonian constraint becomes an equation for $u$ +\begin{equation} +\Delta u+\frac{1}{8}\alpha^7 K^{ij}K_{ij}(1+\alpha u)^{-7} = 0. +\end{equation} +It can be shown that $u$ will be $C^2$ at the location of the `punctures' and +that $\psi$ has a unique solution. +} + +\end{document} File [added]: preamble.tex Delta lines: +73 -0 =================================================================== --- numerical_relativity/preamble.tex (rev 0) +++ numerical_relativity/preamble.tex 2012-04-02 01:52:31 UTC (rev 21) @@ -0,0 +1,73 @@ +\documentclass{beamer} + +\usepackage[utf8]{inputenc} +%\usepackage{beamerthemesplit} +\usepackage{url} +\usepackage{hyperref} +\usepackage{tikz} +\usepackage{alltt} + +\usetheme{Madrid} +\definecolor{cactusgreen}{RGB}{132,186,75} +\graphicspath{{pics/}} + +\newcommand{\ilshell}[1]{\colorbox{lightgray}{\small{\texttt{#1}}}} +\newcommand{\shell}[1]{\hspace{1cm}\colorbox{lightgray}{\small{\texttt{#1}}}} + +\hyphenation{Cac-tus-Ein-stein Schwarz-schild vacuum in-fra-struc-ture} + +% \logo{\includegraphics[height=1cm]{pics/cactuslogo.png}} + +% We want to use the infolines outer theme because it uses so less space, but +% it also tries to print an institution (which we do not have) and the slide +% numbers (which we might not want to show). Therefore, we here redefine the +% footline ourselfes - mostly a copy & paste from +% /usr/share/texmf/tex/latex/beamer/themes/outer/beamerouterthemeinfolines.sty +\defbeamertemplate*{footline}{infolines theme without institution and slide numbers} +{ + \leavevmode% + \hbox{% + \begin{beamercolorbox}[wd=.333333\paperwidth,ht=2.25ex,dp=1ex,center]{author in head/foot}% + \usebeamerfont{author in head/foot}\insertshortauthor + \end{beamercolorbox}% + \begin{beamercolorbox}[wd=.333333\paperwidth,ht=2.25ex,dp=1ex,center]{title in head/foot}% + \usebeamerfont{title in head/foot}\insertshorttitle + \end{beamercolorbox}% + \begin{beamercolorbox}[wd=.333333\paperwidth,ht=2.25ex,dp=1ex,center]{date in head/foot}% + \usebeamerfont{date in head/foot}\insertshortdate{} + \end{beamercolorbox}}% + \vskip0pt% +} + +% For some reason this is not displayed by default. This is just a copy & paste +% from the same file as the footline +\defbeamertemplate*{headline}{infolines theme with sections/subsections} +{ + \leavevmode% + \hbox{% + \begin{beamercolorbox}[wd=.5\paperwidth,ht=2.25ex,dp=1ex,right]{section in head/foot}% + \usebeamerfont{section in head/foot}\insertsectionhead\hspace*{2ex} + \end{beamercolorbox}% + \begin{beamercolorbox}[wd=.5\paperwidth,ht=2.25ex,dp=1ex,left]{subsection in head/foot}% + \usebeamerfont{subsection in head/foot}\hspace*{2ex}\insertsubsectionhead + \end{beamercolorbox}}% + \vskip0pt% +} + +\newcommand{\abspic}[4] + {\vspace{ #2\paperheight}\hspace{ #3\paperwidth}\includegraphics[height=#4\paperheight]{#1}\\ + \vspace{-#2\paperheight}\vspace{-#4\paperheight}\vspace{-0.0038\paperheight}} + +% Make a todo comment stand out visually +\newcommand{\todo}[1]{{~\textbf{\color{red}[TODO: #1]}}} + +\newcommand{\tg}{\tilde\gamma} +\newcommand{\tG}{\tilde\Gamma} +\newcommand{\tA}{\tilde A} +\newcommand{\tK}{\tilde K} +\newcommand{\lb}{{\cal L}_\beta} +\newcommand{\dt}{(\partial_t - {\cal L}_\beta)\;} +\newcommand{\tr}{\mbox{tr}} +\newcommand{\lbt}[4]{\beta^{#4}\partial_{#4}#1_{#2#3}+#1_{#2#4}\partial_{#3}\beta^{#4}+#1_{#3#4}\partial_{#2}\beta^{#4}-\frac{2}{3}#1_{#2#3}\partial_{#4}\beta^{#4}} + +\newlength{\vs}

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[svn:einsteintoolkit] Workshop_Spring_2012/hpc_intro/ (Rev. 20)
by knarf＠cct.lsu.edu 01 Apr '12

01 Apr '12

User: knarf Date: 2012/04/01 03:18 PM Modified: /hpc_intro/ hpc_intro.tex Log: crude text File Changes: Directory: /hpc_intro/ ====================== File [modified]: hpc_intro.tex Delta lines: +10 -0 =================================================================== --- hpc_intro/hpc_intro.tex 2012-04-01 18:20:46 UTC (rev 19) +++ hpc_intro/hpc_intro.tex 2012-04-01 20:18:16 UTC (rev 20) @@ -203,4 +203,14 @@ \end{itemize} } +\frame{\frametitle{Good practices in Scientific Computing {\tiny and elsewhere}} + \begin{itemize} + \item Enable team communication (email lists, calls, ...) + \item Use revision control system(s) (svn, mercurial, git, ...) + \item Use issue tracking system (trac, ...) + \item Document consistently (code comments, doxygen, ...) + \item Continuously test during development + \end{itemize} +} + \end{document}

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[svn:einsteintoolkit] Workshop_Spring_2012/hpc_intro/ (Rev. 19)
by knarf＠cct.lsu.edu 01 Apr '12

01 Apr '12

User: knarf Date: 2012/04/01 01:20 PM Modified: /hpc_intro/ hpc_intro.tex Log: basic text for hpc intro File Changes: Directory: /hpc_intro/ ====================== File [modified]: hpc_intro.tex Delta lines: +97 -5 =================================================================== --- hpc_intro/hpc_intro.tex 2012-04-01 16:38:39 UTC (rev 18) +++ hpc_intro/hpc_intro.tex 2012-04-01 18:20:46 UTC (rev 19) @@ -2,9 +2,9 @@ \usepackage{ragged2e} \usecolortheme[RGB={200,200,200}]{structure} -\subtitle[Introduction to HPC]{{\large Einstein Toolkit Workshop}\\*[0.3em]Introduction to High-Performance-Computing} +\subtitle[Introduction to HPC]{{\large Einstein Toolkit Workshop}\\*[0.3em]Introduction to High-Performance-Computing (HPC)} \author[\mbox{\includegraphics[height=0.6em]{fl_300}\hspace{0.5em}Frank LÃ¶ffler}]{Dr Frank LÃ¶ffler} -\date{Apr 04 2012} +\date{Apr 03 2012} \begin{document} @@ -33,7 +33,7 @@ \frame{\frametitle{Examples} \begin{itemize} - \item Smimulation of physical phenomena + \item Simmulation of physical phenomena \begin{itemize} \item Climate modeling \item Galaxy formation @@ -86,7 +86,7 @@ \frame{\frametitle{But I am just a computer scientist} \begin{itemize} - \item Don't worry: since most people in HPC are not, you have an advantage from the start + \item Don't worry: since most people in HPC are not, you are very valuable \item Skills you need: \begin{itemize} \item Common sense @@ -103,7 +103,7 @@ \frame{\frametitle{HPC is pragmatic} \begin{itemize} - \item Performance is not always what matters: Time to solution is + \item Performance is not always what matters: time to solution is. \item Practical experience is most important \item Leveraging existing solutions is preferred over inventing new ones \item A good solution today is often worth more than a better solution tomorrow @@ -111,4 +111,96 @@ \end{itemize} } +\frame{\frametitle{How to get a faster answer?} + \begin{itemize} + \item Work harder + \begin{itemize} + \item Get faster hardware + \end{itemize} + \item Work smarter + \begin{itemize} + \item Use optimized algorithms (libraries) + \item Write faster code (optimize for hardware) + \item trade convenience for performance (compilation vs. script) + \end{itemize} + \item Devide and conquer + \begin{itemize} + \item Parallelize code + \item Utilize accelarators (GPGPU) + \end{itemize} + \end{itemize} +} + +\frame{\frametitle{What determines performance?} + \begin{itemize} + \item CPU speed + \item I/O speed + \item How well can work be split into pieces? + \begin{itemize} + \item very problem specific + \item run benchmarks to understand program behavior + \item know about Amdahl's law + \end{itemize} + \end{itemize} +} + +\frame{\frametitle{How is performance measured?} + \begin{itemize} + \item For numeric operations: FLOP/s + \item Theoretical peak + \begin{itemize} + \item clock rate $\times$ number of double precision operations per clock cycle + \item can in practice not be reached + \end{itemize} + \item Sustained (real) performance + \begin{itemize} + \item very application dependent + \item Top500 uses Linpack (linerar algebra) + \end{itemize} + \end{itemize} +} + +\frame{\frametitle{Performance of supercomputing applications} + \begin{itemize} + \item Strong scaling: fixed problem set; measure speedup depending on amount of + used resources + \item Weak scaling: fixed ratio of problem set / resource, measure if speed stays + constant + \item Linpack: weak scaling test: $50\%-80\%$ peak + \item Weather forcast: strong scaling: typical $<10\%$ peak (similar for many others) + \end{itemize} +} + +\frame{\frametitle{What is Cluster?} + A cluster consists of: + \begin{itemize} + \item Several computers (nodes), often in special cases + \item One or more networks (interconnects) + \item Software for communication between nodes (e.g. MPI) + \item Software to reserve resources to individual users + \end{itemize} + A cluster is: one big computer formed by these components. +} + +\frame{\frametitle{Parallel Programming} + \begin{itemize} + \item MPI + \begin{itemize} + \item Message Passing Interface + \item Node-to-node communication + \end{itemize} + \item OpenMP + \begin{itemize} + \item Based on threads + \item Within-node communication + \end{itemize} + \item OpenCL/OpenACC/CUDA + \begin{itemize} + \item Accelerator Hardware (CPU/GPU/FPGA/...) + \item Usually within-node usage + \end{itemize} + \item Typical: Mix (Hybrid) + \end{itemize} +} + \end{document}

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[svn:einsteintoolkit] Workshop_Spring_2012/introduction/ (Rev. 18)
by knarf＠cct.lsu.edu 01 Apr '12

01 Apr '12

User: knarf Date: 2012/04/01 11:38 AM Modified: /introduction/ introduction.tex Log: revised schedule, team description File Changes: Directory: /introduction/ ========================= File [modified]: introduction.tex Delta lines: +32 -25 =================================================================== --- introduction/introduction.tex 2012-04-01 02:32:35 UTC (rev 17) +++ introduction/introduction.tex 2012-04-01 16:38:39 UTC (rev 18) @@ -46,8 +46,8 @@ \begin{minipage}{0.6\linewidth} \begin{itemize} \item IT Consultant at Louisiana State University (LSU) - \item PhD in physics, Max--Planck--Institute, Germany - \item Postdocs at SISSA (Italy), LSU +% \item PhD in physics, Max--Planck--Institute, Germany +% \item Postdocs at SISSA (Italy), LSU \item Leading development of Einstein Toolkit and Cactus Framework \end{itemize} \end{minipage} @@ -59,7 +59,9 @@ \end{minipage} \begin{minipage}{0.6\linewidth} \begin{itemize} - \item . + \item PostDoc at Georgia Tech + \item Einstein Toolkit Maintainer + \item Talking about Scientific Visualization \end{itemize} \end{minipage} \end{frame} @@ -70,7 +72,8 @@ \end{minipage} \begin{minipage}{0.6\linewidth} \begin{itemize} - \item . + \item Graduate Student in CS at Louisiana State University + \item Introducing Workshop development environment \end{itemize} \end{minipage} \end{frame} @@ -81,7 +84,9 @@ \end{minipage} \begin{minipage}{0.6\linewidth} \begin{itemize} - \item . + \item Professor of Physics at Louisiana State University + \item Einstein Toolkit Maintainer + \item Talking about numerical relativity, ET components and HPC \end{itemize} \end{minipage} \end{frame} @@ -92,7 +97,9 @@ \end{minipage} \begin{minipage}{0.6\linewidth} \begin{itemize} - \item . + \item Professor at Rochester Institute of Technology + \item Einstein Toolkit Maintainer + \item Talking about general relativity and Cactus internals \end{itemize} \end{minipage} \end{frame} @@ -102,12 +109,10 @@ \includegraphics[height=4cm]{roland} \end{minipage} \begin{minipage}{0.6\linewidth} - \todo{RH: do we really want to introduce each of us individually?} \begin{itemize} - \item Postdoc at TAPIR - \item Interested in mixed binary systems. - \item PhD in physics, University of Guelph, Canada + \item Postdoc at TAPIR (CalTech) \item Einstein Toolkit Maintainer + \item Organisator of most hands-on parts \end{itemize} \end{minipage} \end{frame} @@ -118,7 +123,9 @@ \end{minipage} \begin{minipage}{0.6\linewidth} \begin{itemize} - \item . + \item PostDoc at Rochester Institute of Technology + \item Einstein Toolkit Maintainer + \item Talking about numerical methods \end{itemize} \end{minipage} \end{frame} @@ -127,12 +134,13 @@ \begin{tabular}{lp{9cm}} \textbf{Time} & \textbf{Activity}\\ 08:30-09:00 & Opening / Introduction\\ - 09:00-10:00 & Invited Talk: XXX\\ + 09:00-09:30 & Introduction to Scientific Software \& HPC\\ + 09:30-10:00 & Introduction to Cactus\\ \hline 10:00-10:30 & Discussion and break\\ \hline 10:30-11:15 & Introduction to General Relativity\\ - 11:15-12:00 & Introduction to Scientific Software \& HPC\\ + 11:15-12:00 & Introduction to Cactus - Thornwriting\\ \hline 12:00-13:00 & Lunch break\\ \hline @@ -142,14 +150,14 @@ \hline 15:15-15:45 & Discussion and break\\ \hline - 15:45-17:30 & \textit{Simulation of provided relativity examples}\\ + 15:45-17:30 & \textit{Simulation of provided relativity example}\\ \end{tabular} \end{frame} \frame{\frametitle{Thursday} \begin{tabular}{lp{9cm}} 08:00-09:00 & Introduction to Scientific Visualization\\ - 09:00-10:00 & Invited Talk: XXX\\ + 09:00-10:00 & Invited Talk: Matt Duez\\ \hline 10:00-10:30 & Discussion and break\\ \hline @@ -157,27 +165,26 @@ 11:15-12:00 & \textit{Creating Animation}\\ \hline 12:00-13:00 & Lunch break\\ - \hline\\ - 13:00-13:30 & High-level introduction to Cactus\\ - 13:30-14:15 & Low-level introduction to Cactus\\ - 14:15-15:15 & \textit{Implementing your own thorn}\\ \hline + 13:00-14:15 & \textit{Implementing own thorn, visualization and presentation}\\ + 14:15-15:15 & Invited Talk: John Wise\\ + \hline 15:15-15:45 & Discussion and break\\ \hline - 15:45-16:30 & \textit{Implementing your own thorn, Visualization}\\ - 16:30-17:30 & \textit{Presentation of team results}\\ + 15:45-17:30 & \textit{Hands-on cont.} \end{tabular} } \frame{\frametitle{Friday} \begin{tabular}{lp{9cm}} - 08:00-09:00 & Tour through available ET components\\ - 09:00-10:00 & Invited Talk: XXX\\ + 08:00-09:00 & \textit{Presentation of team results}\\ + 09:00-10:00 & Invited Talk: Gabrielle Allen\\ \hline 10:00-10:30 & Discussion and break\\ \hline - 10:30-11:15 & HPC resources, trends, basic usage\\ - 11:15-12:00 & The future of the ET + 10:30-11:00 & Tour through available ET components\\ + 11:00-11:30 & HPC resources, trends, basic usage\\ + 11:30-12:00 & The future of the ET \end{tabular} }

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