From fba4d922216ea9ee18e267f0b019025e28404ace Mon Sep 17 00:00:00 2001 From: schnetter Date: Tue, 20 Jan 2004 11:02:04 +0000 Subject: A thorn that calculates the extrinsic curvature from the three-metric, lapse, and shift. Best used with the ID filereader. git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinAnalysis/CalcK/trunk@2 f47d718b-0e4f-0410-8445-f2f96c8ccefb --- COPYING | 340 ++++++++++++++++++++++++++++++++++++++++++++++++++ README | 11 ++ configuration.ccl | 4 + doc/documentation.tex | 144 +++++++++++++++++++++ interface.ccl | 32 +++++ par/calck.par | 79 ++++++++++++ param.ccl | 12 ++ schedule.ccl | 14 +++ src/CalcK.F90 | 157 +++++++++++++++++++++++ src/make.code.defn | 8 ++ 10 files changed, 801 insertions(+) create mode 100644 COPYING create mode 100644 README create mode 100644 configuration.ccl create mode 100644 doc/documentation.tex create mode 100644 interface.ccl create mode 100644 par/calck.par create mode 100644 param.ccl create mode 100644 schedule.ccl create mode 100644 src/CalcK.F90 create mode 100644 src/make.code.defn diff --git a/COPYING b/COPYING new file mode 100644 index 0000000..5b6e7c6 --- /dev/null +++ b/COPYING @@ -0,0 +1,340 @@ + GNU GENERAL PUBLIC LICENSE + Version 2, June 1991 + + Copyright (C) 1989, 1991 Free Software Foundation, Inc. + 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + + Preamble + + The licenses for most software are designed to take away your +freedom to share and change it. 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If this is what you want to do, use the GNU Library General +Public License instead of this License. diff --git a/README b/README new file mode 100644 index 0000000..41d0b5f --- /dev/null +++ b/README @@ -0,0 +1,11 @@ +CVS info : $Header$ + +Cactus Code Thorn CalcK +Thorn Author(s) : Erik Schnetter +Thorn Maintainer(s) : Erik Schnetter +-------------------------------------------------------------------------- + +Purpose of the thorn: + +Calculate the extrinsic curvature K_ij from several time levels of the +three-metric gamma_ij, lapse alpha, and shift beta^i. diff --git a/configuration.ccl b/configuration.ccl new file mode 100644 index 0000000..4a250aa --- /dev/null +++ b/configuration.ccl @@ -0,0 +1,4 @@ +# Configuration definition for thorn CalcK +# $Header$ + +REQUIRES THORNS: CartGrid3D diff --git a/doc/documentation.tex b/doc/documentation.tex new file mode 100644 index 0000000..214543e --- /dev/null +++ b/doc/documentation.tex @@ -0,0 +1,144 @@ +% *======================================================================* +% Cactus Thorn template for ThornGuide documentation +% Author: Ian Kelley +% Date: Sun Jun 02, 2002 +% $Header$ +% +% Thorn documentation in the latex file doc/documentation.tex +% will be included in ThornGuides built with the Cactus make system. +% The scripts employed by the make system automatically include +% pages about variables, parameters and scheduling parsed from the +% relevant thorn CCL files. +% +% This template contains guidelines which help to assure that your +% documentation will be correctly added to ThornGuides. More +% information is available in the Cactus UsersGuide. +% +% Guidelines: +% - Do not change anything before the line +% % START CACTUS THORNGUIDE", +% except for filling in the title, author, date, etc. fields. +% - Each of these fields should only be on ONE line. +% - Author names should be separated with a \\ or a comma. +% - You can define your own macros, but they must appear after +% the START CACTUS THORNGUIDE line, and must not redefine standard +% latex commands. +% - To avoid name clashes with other thorns, 'labels', 'citations', +% 'references', and 'image' names should conform to the following +% convention: +% ARRANGEMENT_THORN_LABEL +% For example, an image wave.eps in the arrangement CactusWave and +% thorn WaveToyC should be renamed to CactusWave_WaveToyC_wave.eps +% - Graphics should only be included using the graphicx package. +% More specifically, with the "\includegraphics" command. Do +% not specify any graphic file extensions in your .tex file. This +% will allow us to create a PDF version of the ThornGuide +% via pdflatex. +% - References should be included with the latex "\bibitem" command. +% - Use \begin{abstract}...\end{abstract} instead of \abstract{...} +% - Do not use \appendix, instead include any appendices you need as +% standard sections. +% - For the benefit of our Perl scripts, and for future extensions, +% please use simple latex. +% +% *======================================================================* +% +% Example of including a graphic image: +% \begin{figure}[ht] +% \begin{center} +% \includegraphics[width=6cm]{MyArrangement_MyThorn_MyFigure} +% \end{center} +% \caption{Illustration of this and that} +% \label{MyArrangement_MyThorn_MyLabel} +% \end{figure} +% +% Example of using a label: +% \label{MyArrangement_MyThorn_MyLabel} +% +% Example of a citation: +% \cite{MyArrangement_MyThorn_Author99} +% +% Example of including a reference +% \bibitem{MyArrangement_MyThorn_Author99} +% {J. Author, {\em The Title of the Book, Journal, or periodical}, 1 (1999), +% 1--16. {\tt http://www.nowhere.com/}} +% +% *======================================================================* + +% If you are using CVS use this line to give version information +% $Header$ + +\documentclass{article} + +% Use the Cactus ThornGuide style file +% (Automatically used from Cactus distribution, if you have a +% thorn without the Cactus Flesh download this from the Cactus +% homepage at www.cactuscode.org) +\usepackage{../../../../doc/latex/cactus} + +\begin{document} + +% The author of the documentation +\author{Erik Schnetter \textless schnetter@aei.mpg.de\textgreater} + +% The title of the document (not necessarily the name of the Thorn) +\title{} + +% the date your document was last changed, if your document is in CVS, +% please use: +% \date{$ $Date$ $} +\date{January 20 2004} + +\maketitle + +% Do not delete next line +% START CACTUS THORNGUIDE + +% Add all definitions used in this documentation here +% \def\mydef etc + +% Add an abstract for this thorn's documentation +\begin{abstract} + +\end{abstract} + +% The following sections are suggestive only. +% Remove them or add your own. + +\section{Introduction} + +\section{Physical System} + +\section{Numerical Implementation} + +\section{Using This Thorn} + +\subsection{Obtaining This Thorn} + +\subsection{Basic Usage} + +\subsection{Special Behaviour} + +\subsection{Interaction With Other Thorns} + +\subsection{Examples} + +\subsection{Support and Feedback} + +\section{History} + +\subsection{Thorn Source Code} + +\subsection{Thorn Documentation} + +\subsection{Acknowledgements} + + +\begin{thebibliography}{9} + +\end{thebibliography} + +% Do not delete next line +% END CACTUS THORNGUIDE + +\end{document} diff --git a/interface.ccl b/interface.ccl new file mode 100644 index 0000000..141167a --- /dev/null +++ b/interface.ccl @@ -0,0 +1,32 @@ +# Interface definition for thorn CalcK +# $Header$ + +IMPLEMENTS: CalcK + +INHERITS: ADMBase + +CCTK_REAL metric_prev TYPE=gf +{ + gxx_prev gxy_prev gxz_prev gyy_prev gyz_prev gzz_prev +} "ADM 3-metric, previous time" + +CCTK_REAL metric_prev2 TYPE=gf +{ + gxx_prev2 gxy_prev2 gxz_prev2 gyy_prev2 gyz_prev2 gzz_prev2 +} "ADM 3-metric, pre-previous time" + +CCTK_REAL metric_next TYPE=gf +{ + gxx_next gxy_next gxz_next gyy_next gyz_next gzz_next +} "ADM 3-metric, next time" + + + +CCTK_INT FUNCTION Boundary_SelectGroupForBC ( \ + CCTK_POINTER_TO_CONST IN cctkGH, \ + CCTK_INT IN faces, \ + CCTK_INT IN boundary_width, \ + CCTK_INT IN table_handle, \ + CCTK_STRING IN group_name, \ + CCTK_STRING IN bc_name) +USES FUNCTION Boundary_SelectGroupForBC diff --git a/par/calck.par b/par/calck.par new file mode 100644 index 0000000..fc2446a --- /dev/null +++ b/par/calck.par @@ -0,0 +1,79 @@ +# $Header$ + +Cactus::cctk_run_title = "Calculate extrinsic curvature from three-metric, lapse, and shift" +Cactus::cctk_full_warnings = yes +Cactus::cctk_timer_output = full + +Cactus::cctk_itlast = 0 + +ActiveThorns = "always" + +ActiveThorns = "PUGH PUGHInterp PUGHReduce PUGHSlab" +driver::global_nx = 80 +driver::global_ny = 80 +driver::global_nz = 40 + +ActiveThorns = "NaNChecker" + +ActiveThorns = "IOUtil" +IO::out_dir = $parfile + +IO::filereader_ID_files = " + gxx_3d gxy_3d gxz_3d gyy_3d gyz_3d gzz_3d + alp_3d + betax_3d betay_3d betaz_3d +" +IO::filereader_ID_vars = " + ADMBase::lapse[cctk_iteration=101] + ADMBase::shift[cctk_iteration=101] + ADMBase::metric[cctk_iteration=101] + CalcK::metric_prev[cctk_iteration=100] + CalcK::metric_next[cctk_iteration=102] +" + +ActiveThorns = "IOHDF5 IOHDF5Util" + +ActiveThorns = "Boundary CartGrid3D CoordBase" +CartGrid3D::type = byspacing +CartGrid3D::domain = bitant +CartGrid3D::dxyz = 0.08 +CartGrid3D::avoid_origin = no + +ActiveThorns = "ADMBase ADMCoupling ADMMacros CoordGauge SpaceMask StaticConformal" + +ADMBase::initial_shift = "zero" + +ActiveThorns = "CalcK" + +ActiveThorns = "IOBasic" +IOBasic::outInfo_every = 1 +IOBasic::outInfo_reductions = "minimum maximum" +IOBasic::outInfo_vars = " + ADMBase::gxx + ADMBase::kxx +" + +IOBasic::outScalar_every = 1 +IOBasic::outScalar_reductions = "minimum maximum mean norm1 norm2 norm_inf" +IOBasic::outScalar_style = gnuplot +IOBasic::outScalar_vars = " + ADMBase::metric + ADMBase::curv + ADMBase::lapse + ADMBase::shift +" + +ActiveThorns = "IOASCII" +IOASCII::out1D_every = 1 +IOASCII::out1D_style = "gnuplot f(x)" +IOASCII::out1D_vars = " + ADMBase::metric + ADMBase::curv + ADMBase::lapse + ADMBase::shift +" + +IOHDF5::out_every = 1 +IOHDF5::out_vars = " + ADMBase::curv +" diff --git a/param.ccl b/param.ccl new file mode 100644 index 0000000..5003af5 --- /dev/null +++ b/param.ccl @@ -0,0 +1,12 @@ +# Parameter definitions for thorn CalcK +# $Header$ + +STRING extcurv_boundary "Boundary condition for the extrinsic curvature" +{ + ".*" :: "must be a registered boundary condition" +} "Robin" + +STRING extcurv_boundary_options "Options for the boundry condition for the extrinsic curvature" +{ + ".*" :: "must have the options table syntax" +} "decay_power=2.0" diff --git a/schedule.ccl b/schedule.ccl new file mode 100644 index 0000000..abd1eb2 --- /dev/null +++ b/schedule.ccl @@ -0,0 +1,14 @@ +# Schedule definitions for thorn CalcK +# $Header$ + +STORAGE: metric_prev metric_prev2 metric_next + +SCHEDULE CalcK AT postinitial +{ + LANG: Fortran + SYNC: ADMBase::curv +} "Calculate K_ij from gamma_ij, alpha, and beta^i" + +SCHEDULE GROUP ApplyBCs as CalcK_ApplyBCs AT postinitial AFTER CalcK +{ +} "Apply boundary conditions" diff --git a/src/CalcK.F90 b/src/CalcK.F90 new file mode 100644 index 0000000..f77d500 --- /dev/null +++ b/src/CalcK.F90 @@ -0,0 +1,157 @@ +! $Header$ + +#include "cctk.h" +#include "cctk_Arguments.h" +#include "cctk_Functions.h" +#include "cctk_Parameters.h" + +subroutine CalcK (CCTK_ARGUMENTS) + implicit none + DECLARE_CCTK_ARGUMENTS + DECLARE_CCTK_FUNCTIONS + DECLARE_CCTK_PARAMETERS + + CCTK_INT, parameter :: idummy=0 + integer, parameter :: ik=kind(idummy) + + CCTK_INT, parameter :: bndwidth = 1 + + CCTK_INT :: len_boundary, len_options + character(1000) :: str_boundary, str_options + integer :: options + + CCTK_REAL :: dt, dx(3) + + CCTK_REAL :: gama(3,3), gama_dot(3,3), dgama(3,3,3) + CCTK_REAL :: alfa + CCTK_REAL :: beta(3), dbeta(3,3) + CCTK_REAL :: kk(3,3) + + integer :: imin(3), imax(3) + integer :: i, j, k + integer :: a, b, c + integer :: ierr + + dt = CCTK_DELTA_TIME + dx(:) = CCTK_DELTA_SPACE(:) + + call CCTK_FortranString & + (len_boundary, int(extcurv_boundary,ik), str_boundary) + call CCTK_FortranString & + (len_options, int(extcurv_boundary_options,ik), str_options) + call Util_TableCreateFromString (options, str_options) + if (options<0) then + call CCTK_WARN (0, "Parameter ""extcurv_boundary_options"" has an illegal syntax") + end if + + imin(:) = 1+cctk_nghostzones(:) + imax(:) = cctk_lsh(:)-cctk_nghostzones(:) + where (cctk_bbox(1::2)/=0) imin(:) = 1+bndwidth + where (cctk_bbox(2::2)/=0) imax(:) = cctk_lsh(:)-bndwidth + + do k = imin(3), imax(3) + do j = imin(2), imax(2) + do i = imin(1), imax(1) + + gama(1,1) = gxx(i,j,k) + gama(1,2) = gxy(i,j,k) + gama(1,3) = gxz(i,j,k) + gama(2,2) = gyy(i,j,k) + gama(2,3) = gyz(i,j,k) + gama(3,3) = gzz(i,j,k) + gama(2,1) = gama(1,2) + gama(3,1) = gama(1,3) + gama(3,2) = gama(2,3) + +#if 0 + gama_dot(1,1) = (-3*gxx(i,j,k) + 4*gxx_prev(i,j,k) - gxx_prev2(i,j,k)) / (2*dt) + gama_dot(1,2) = (-3*gxy(i,j,k) + 4*gxy_prev(i,j,k) - gxy_prev2(i,j,k)) / (2*dt) + gama_dot(1,3) = (-3*gxz(i,j,k) + 4*gxz_prev(i,j,k) - gxz_prev2(i,j,k)) / (2*dt) + gama_dot(2,2) = (-3*gyy(i,j,k) + 4*gyy_prev(i,j,k) - gyy_prev2(i,j,k)) / (2*dt) + gama_dot(2,3) = (-3*gyz(i,j,k) + 4*gyz_prev(i,j,k) - gyz_prev2(i,j,k)) / (2*dt) + gama_dot(3,3) = (-3*gzz(i,j,k) + 4*gzz_prev(i,j,k) - gzz_prev2(i,j,k)) / (2*dt) +#else + gama_dot(1,1) = (gxx_next(i,j,k) - gxx_prev(i,j,k)) / (2*dt) + gama_dot(1,2) = (gxy_next(i,j,k) - gxy_prev(i,j,k)) / (2*dt) + gama_dot(1,3) = (gxz_next(i,j,k) - gxz_prev(i,j,k)) / (2*dt) + gama_dot(2,2) = (gyy_next(i,j,k) - gyy_prev(i,j,k)) / (2*dt) + gama_dot(2,3) = (gyz_next(i,j,k) - gyz_prev(i,j,k)) / (2*dt) + gama_dot(3,3) = (gzz_next(i,j,k) - gzz_prev(i,j,k)) / (2*dt) +#endif + gama_dot(2,1) = gama_dot(1,2) + gama_dot(3,1) = gama_dot(1,3) + gama_dot(3,2) = gama_dot(2,3) + + dgama(1,1,1) = (gxx(i+1,j,k) - gxx(i-1,j,k)) / (2*dx(1)) + dgama(1,2,1) = (gxy(i+1,j,k) - gxy(i-1,j,k)) / (2*dx(1)) + dgama(1,3,1) = (gxz(i+1,j,k) - gxz(i-1,j,k)) / (2*dx(1)) + dgama(2,2,1) = (gyy(i+1,j,k) - gyy(i-1,j,k)) / (2*dx(1)) + dgama(2,3,1) = (gyz(i+1,j,k) - gyz(i-1,j,k)) / (2*dx(1)) + dgama(3,3,1) = (gzz(i+1,j,k) - gzz(i-1,j,k)) / (2*dx(1)) + dgama(1,1,2) = (gxx(i,j+1,k) - gxx(i,j-1,k)) / (2*dx(2)) + dgama(1,2,2) = (gxy(i,j+1,k) - gxy(i,j-1,k)) / (2*dx(2)) + dgama(1,3,2) = (gxz(i,j+1,k) - gxz(i,j-1,k)) / (2*dx(2)) + dgama(2,2,2) = (gyy(i,j+1,k) - gyy(i,j-1,k)) / (2*dx(2)) + dgama(2,3,2) = (gyz(i,j+1,k) - gyz(i,j-1,k)) / (2*dx(2)) + dgama(3,3,2) = (gzz(i,j+1,k) - gzz(i,j-1,k)) / (2*dx(2)) + dgama(1,1,3) = (gxx(i,j,k+1) - gxx(i,j,k-1)) / (2*dx(3)) + dgama(1,2,3) = (gxy(i,j,k+1) - gxy(i,j,k-1)) / (2*dx(3)) + dgama(1,3,3) = (gxz(i,j,k+1) - gxz(i,j,k-1)) / (2*dx(3)) + dgama(2,2,3) = (gyy(i,j,k+1) - gyy(i,j,k-1)) / (2*dx(3)) + dgama(2,3,3) = (gyz(i,j,k+1) - gyz(i,j,k-1)) / (2*dx(3)) + dgama(3,3,3) = (gzz(i,j,k+1) - gzz(i,j,k-1)) / (2*dx(3)) + dgama(2,1,:) = dgama(1,2,:) + dgama(3,1,:) = dgama(1,3,:) + dgama(3,2,:) = dgama(2,3,:) + + alfa = alp(i,j,k) + + beta(1) = betax(i,j,k) + beta(2) = betay(i,j,k) + beta(3) = betaz(i,j,k) + + dbeta(1,1) = (betax(i+1,j,k) - betax(i-1,j,k)) / (2*dx(1)) + dbeta(2,1) = (betay(i+1,j,k) - betay(i-1,j,k)) / (2*dx(1)) + dbeta(3,1) = (betaz(i+1,j,k) - betaz(i-1,j,k)) / (2*dx(1)) + dbeta(1,2) = (betax(i,j+1,k) - betax(i,j-1,k)) / (2*dx(2)) + dbeta(2,2) = (betay(i,j+1,k) - betay(i,j-1,k)) / (2*dx(2)) + dbeta(3,2) = (betaz(i,j+1,k) - betaz(i,j-1,k)) / (2*dx(2)) + dbeta(1,3) = (betax(i,j,k+1) - betax(i,j,k-1)) / (2*dx(3)) + dbeta(2,3) = (betay(i,j,k+1) - betay(i,j,k-1)) / (2*dx(3)) + dbeta(3,3) = (betaz(i,j,k+1) - betaz(i,j,k-1)) / (2*dx(3)) + + ! d/dt gamma_ij = - 2 alpha K_ij + ! + gamma_kj d_i beta^k + ! + gamma_kj d_i beta^k + ! + beta^k d_k gamma_ij + + do a=1,3 + do b=1,3 + kk(a,b) = - gama_dot(a,b) + do c=1,3 + kk(a,b) = kk(a,b) + gama(k,j) * dbeta(k,i) & + & + gama(i,k) * dbeta(k,j) & + & + beta(k) * dgama(i,j,k) + end do + kk(a,b) = kk(a,b) / (2*alfa) + end do + end do + + kxx(i,j,k) = kk(1,1) + kxy(i,j,k) = kk(1,2) + kxz(i,j,k) = kk(1,3) + kyy(i,j,k) = kk(2,2) + kyz(i,j,k) = kk(2,3) + kzz(i,j,k) = kk(3,3) + + end do + end do + end do + + call CartSymGN (ierr, cctkGH, "ADMBase::curv") + if (ierr /= 0) call CCTK_WARN (0, "internal error") + ierr = Boundary_SelectGroupForBC (cctkGH, CCTK_ALL_FACES, bndwidth, & + int(options,ik), "ADMBase::curv", str_boundary) + if (ierr /= 0) call CCTK_WARN (0, "internal error") + +end subroutine CalcK diff --git a/src/make.code.defn b/src/make.code.defn new file mode 100644 index 0000000..147f54e --- /dev/null +++ b/src/make.code.defn @@ -0,0 +1,8 @@ +# Main make.code.defn file for thorn CalcK +# $Header$ + +# Source files in this directory +SRCS = CalcK.F90 + +# Subdirectories containing source files +SUBDIRS = -- cgit v1.2.3