From 105fde1c4a73db5e3d93ee13aff57114fc00daa3 Mon Sep 17 00:00:00 2001 From: Cheng-Hsin Cheng Date: Wed, 30 Aug 2023 23:52:20 -0500 Subject: [PATCH 1/2] NewRadX: Add scalar field unit test --- NewRadX/interface.ccl | 21 ++ NewRadX/param.ccl | 51 +++++ NewRadX/schedule.ccl | 41 ++++ NewRadX/src/make.code.defn | 3 +- NewRadX/src/test_newradx.cxx | 182 ++++++++++++++++++ NewRadX/test/scalarwave_newradx.par | 79 ++++++++ .../newradx-error.it000000.x.tsv | 38 ++++ .../newradx-error.it000000.y.tsv | 38 ++++ .../newradx-error.it000000.z.tsv | 38 ++++ .../newradx-error.it000030.x.tsv | 38 ++++ .../newradx-error.it000030.y.tsv | 38 ++++ .../newradx-error.it000030.z.tsv | 38 ++++ .../newradx-error.it000060.x.tsv | 38 ++++ .../newradx-error.it000060.y.tsv | 38 ++++ .../newradx-error.it000060.z.tsv | 38 ++++ .../newradx-error.it000090.x.tsv | 38 ++++ .../newradx-error.it000090.y.tsv | 38 ++++ .../newradx-error.it000090.z.tsv | 38 ++++ .../newradx-error.it000120.x.tsv | 38 ++++ .../newradx-error.it000120.y.tsv | 38 ++++ .../newradx-error.it000120.z.tsv | 38 ++++ .../newradx-state.it000000.x.tsv | 38 ++++ .../newradx-state.it000000.y.tsv | 38 ++++ .../newradx-state.it000000.z.tsv | 38 ++++ .../newradx-state.it000030.x.tsv | 38 ++++ .../newradx-state.it000030.y.tsv | 38 ++++ .../newradx-state.it000030.z.tsv | 38 ++++ .../newradx-state.it000060.x.tsv | 38 ++++ .../newradx-state.it000060.y.tsv | 38 ++++ .../newradx-state.it000060.z.tsv | 38 ++++ .../newradx-state.it000090.x.tsv | 38 ++++ .../newradx-state.it000090.y.tsv | 38 ++++ .../newradx-state.it000090.z.tsv | 38 ++++ .../newradx-state.it000120.x.tsv | 38 ++++ .../newradx-state.it000120.y.tsv | 38 ++++ .../newradx-state.it000120.z.tsv | 38 ++++ 36 files changed, 1516 insertions(+), 1 deletion(-) create mode 100644 NewRadX/src/test_newradx.cxx create mode 100644 NewRadX/test/scalarwave_newradx.par create mode 100644 NewRadX/test/scalarwave_newradx/newradx-error.it000000.x.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-error.it000000.y.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-error.it000000.z.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-error.it000030.x.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-error.it000030.y.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-error.it000030.z.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-error.it000060.x.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-error.it000060.y.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-error.it000060.z.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-error.it000090.x.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-error.it000090.y.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-error.it000090.z.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-error.it000120.x.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-error.it000120.y.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-error.it000120.z.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-state.it000000.x.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-state.it000000.y.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-state.it000000.z.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-state.it000030.x.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-state.it000030.y.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-state.it000030.z.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-state.it000060.x.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-state.it000060.y.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-state.it000060.z.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-state.it000090.x.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-state.it000090.y.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-state.it000090.z.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-state.it000120.x.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-state.it000120.y.tsv create mode 100644 NewRadX/test/scalarwave_newradx/newradx-state.it000120.z.tsv diff --git a/NewRadX/interface.ccl b/NewRadX/interface.ccl index 6c754f88..a210f929 100644 --- a/NewRadX/interface.ccl +++ b/NewRadX/interface.ccl @@ -6,3 +6,24 @@ USES INCLUDE HEADER: loop.hxx USES INCLUDE HEADER: loop_device.hxx INCLUDE HEADER: newradx.hxx in newradx.hxx + +INHERITS: CarpetX + +# Scalar field grid functions for the unit test +CCTK_REAL state TYPE=gf CENTERING={VVV} TAGS='rhs="rhs"' +{ + uu + vv +} "Scalar wave state vector: scalar field and its time derivative" + +CCTK_REAL rhs TYPE=gf CENTERING={VVV} TAGS='checkpoint="no"' +{ + uu_rhs + vv_rhs +} "RHS of scalar wave state vector" + +CCTK_REAL error TYPE=gf CENTERING={VVV} TAGS='checkpoint="no"' +{ + uu_err + vv_err +} "Error in scalar wave state vector" diff --git a/NewRadX/param.ccl b/NewRadX/param.ccl index 7ba1a5f0..3046e7ae 100644 --- a/NewRadX/param.ccl +++ b/NewRadX/param.ccl @@ -1 +1,52 @@ # Parameter definitions for thorn NewRadX +# +# To use radiative boundary conditions in another thorn, the parameters here are not relevant. +# These parameters are only used in the unit test for NewRadX, which applies NewRadX in the evolution of a test scalar field +BOOLEAN run_test "Run scalar field evolution test" +{ +} "no" + +BOOLEAN test_use_newradx "Use radiative boundary conditions for scalar field" +{ +} "yes" + +BOOLEAN test_add_dissipation "Add Kreiss-Oliger dissipation to scalar field RHS" +{ +} "yes" + +CCTK_REAL eps_dissipation "Coefficient for Kreiss-Oliger dissipation" +{ + 0.0:1.0 :: "" +} 0.15 + +CCTK_REAL n_falloff "Exponent of the falloff term r^(-n_falloff) in the scalar field potential" +{ + 0.0:* :: "" +} 2.0 + + +# Parameters scalar field test initial data +CCTK_REAL gaussian_a0 "Scalar field initial Gaussian amplitude" +{ + *:* :: "" +} 1.0 + +CCTK_REAL gaussian_w0 "Scalar field initial Gaussian profile width" +{ + 0.0:* :: "" +} 1.0 + +CCTK_REAL gaussian_x0 "Scalar field initial Gaussian profile center" +{ + *:* :: "" +} 0.0 + +CCTK_REAL gaussian_y0 "Scalar field initial Gaussian profile center" +{ + *:* :: "" +} 0.0 + +CCTK_REAL gaussian_z0 "Scalar field initial Gaussian profile center" +{ + *:* :: "" +} 0.0 diff --git a/NewRadX/schedule.ccl b/NewRadX/schedule.ccl index 42e426b6..32f9e2a9 100644 --- a/NewRadX/schedule.ccl +++ b/NewRadX/schedule.ccl @@ -1 +1,42 @@ # Schedule definitions for thorn NewRadX + +if (run_test) { + STORAGE: state + + SCHEDULE NewRadX_Init AT initial + { + LANG: C + WRITES: state(interior) + SYNC: state + } "Initialize scalar wave state" + + SCHEDULE NewRadX_EstimateError AT postinitial + { + LANG: C + READS: state(everywhere) + WRITES: CarpetX::regrid_error(interior) + } "Estimate error for regridding" + + SCHEDULE NewRadX_EstimateError AT poststep + { + LANG: C + READS: state(everywhere) + WRITES: CarpetX::regrid_error(interior) + } "Estimate error for regridding" + + SCHEDULE NewRadX_RHS IN ODESolvers_RHS + { + LANG: C + READS: state(everywhere) + WRITES: rhs(interior) + SYNC: rhs + } "Calculate scalar wave RHS" + + SCHEDULE NewRadX_CompareSolution IN ODESolvers_PostStep + { + LANG: C + READS: state(interior) + WRITES: error(interior) + SYNC: error + } "Calculate error between numerical and analytic solutions" +} diff --git a/NewRadX/src/make.code.defn b/NewRadX/src/make.code.defn index f9dc14f3..add3937d 100644 --- a/NewRadX/src/make.code.defn +++ b/NewRadX/src/make.code.defn @@ -1,7 +1,8 @@ # Main make.code.defn file for thorn NewRadX # Source files in this directory -SRCS = newradx.cxx +SRCS = newradx.cxx \ + test_newradx.cxx # Subdirectories containing source files SUBDIRS = diff --git a/NewRadX/src/test_newradx.cxx b/NewRadX/src/test_newradx.cxx new file mode 100644 index 00000000..95550429 --- /dev/null +++ b/NewRadX/src/test_newradx.cxx @@ -0,0 +1,182 @@ +#include +#include +#include +#include +#include + +namespace NewRadX { + +#define ijk p.I +#define im3jk p.I - 3 * p.DI[0] +#define im2jk p.I - 2 * p.DI[0] +#define im1jk p.I - 1 * p.DI[0] +#define ip3jk p.I + 3 * p.DI[0] +#define ip2jk p.I + 2 * p.DI[0] +#define ip1jk p.I + 1 * p.DI[0] + +#define ijm3k p.I - 3 * p.DI[1] +#define ijm2k p.I - 2 * p.DI[1] +#define ijm1k p.I - 1 * p.DI[1] +#define ijp3k p.I + 3 * p.DI[1] +#define ijp2k p.I + 2 * p.DI[1] +#define ijp1k p.I + 1 * p.DI[1] + +#define ijkm3 p.I - 3 * p.DI[2] +#define ijkm2 p.I - 2 * p.DI[2] +#define ijkm1 p.I - 1 * p.DI[2] +#define ijkp3 p.I + 3 * p.DI[2] +#define ijkp2 p.I + 2 * p.DI[2] +#define ijkp1 p.I + 1 * p.DI[2] + +// Flat Laplacian operator at 4th order accuracy +template +constexpr T Laplacian_4thorder(const Loop::GF3D2 gf, + const Loop::PointDesc &p) { + return 1.0 / 12.0 * + ((-gf(ip2jk) + 16 * gf(ip1jk) - 30 * gf(ijk) + -gf(im2jk) + 16 * gf(im1jk)) / + (p.DX[0] * p.DX[0]) + + (-gf(ijp2k) + 16 * gf(ijp1k) - 30 * gf(ijk) + -gf(ijm2k) + 16 * gf(ijm1k)) / + (p.DX[1] * p.DX[1]) + + (-gf(ijkp2) + 16 * gf(ijkp1) - 30 * gf(ijk) + -gf(ijkm2) + 16 * gf(ijkm1)) / + (p.DX[2] * p.DX[2])); +} + +// 5th order Kreiss-Oliger dissipation +template +constexpr T KO_diss_5thorder(const Loop::GF3D2 gf, + const Loop::PointDesc &p) { + return 1.0 / 64.0 * + ((gf(im3jk) - 6.0 * gf(im2jk) + 15.0 * gf(im1jk) - 20.0 * gf(ijk) + + gf(ip3jk) - 6.0 * gf(ip2jk) + 15.0 * gf(ip1jk)) / + p.DX[0] + + (gf(ijm3k) - 6.0 * gf(ijm2k) + 15.0 * gf(ijm1k) - 20.0 * gf(ijk) + + gf(ijp3k) - 6.0 * gf(ijp2k) + 15.0 * gf(ijp1k)) / + p.DX[1] + + (gf(ijkm3) - 6.0 * gf(ijkm2) + 15.0 * gf(ijkm1) - 20.0 * gf(ijk) + + gf(ijkp3) - 6.0 * gf(ijkp2) + 15.0 * gf(ijkp1)) / + p.DX[2]); +} + +// Test scalar field initial data +template +constexpr void gaussian(const T t, const T A, const T W, + const T x, const T y, const T z, + T &uu, T &vv) { + using std::exp, std::pow, std::sqrt; + + const T r = sqrt(pow(x, 2) + pow(y, 2) + pow(z, 2)); + + const auto f = [&](const T v) { + return A * exp(-pow(v, 2) / (2 * pow(W, 2))); + }; + + if (r < sqrt(std::numeric_limits::epsilon())) { + // L'Hôpital + uu = f(-t) * (1 - pow(t/W, 2)); + vv = f(-t) * (3 - pow(t/W, 2)) * (-t/pow(W,2)); + } else { + uu = 0.5 * (f(r - t) * (r - t) + + f(r + t) * (r + t)) / r; + vv = 0.5 * (f(r - t) * (pow((r - t) / W, 2) - 1) - + f(r + t) * (pow((r + t) / W, 2) - 1)) / r; + } +} + +// Scheduled functions +extern "C" void NewRadX_Init(CCTK_ARGUMENTS) { + DECLARE_CCTK_ARGUMENTSX_NewRadX_Init; + DECLARE_CCTK_PARAMETERS; + + grid.loop_int_device<0, 0, 0>( + grid.nghostzones, + [=] CCTK_DEVICE(const Loop::PointDesc &p) + CCTK_ATTRIBUTE_ALWAYS_INLINE { + gaussian(cctk_time, + gaussian_a0, gaussian_w0, + p.x - gaussian_x0, p.y - gaussian_y0, + p.z - gaussian_z0, uu(p.I), vv(p.I)); + }); +} + +extern "C" void NewRadX_RHS(CCTK_ARGUMENTS) { + DECLARE_CCTK_ARGUMENTSX_NewRadX_RHS; + DECLARE_CCTK_PARAMETERS; + + if (grid.nghostzones[0] != 3 || grid.nghostzones[1] != 3 || + grid.nghostzones[2] != 3) { + CCTK_ERROR("Invalid number of ghost zones for 4th order FD"); + } + + grid.loop_int_device<0, 0, 0>( + grid.nghostzones, + [=] CCTK_DEVICE(const Loop::PointDesc &p) + CCTK_ATTRIBUTE_ALWAYS_INLINE { + uu_rhs(p.I) = vv(p.I); + vv_rhs(p.I) = Laplacian_4thorder(uu, p); + }); + + if (test_use_newradx) { + NewRadX_Apply(cctkGH, uu, uu_rhs, 0, 1, n_falloff); + NewRadX_Apply(cctkGH, vv, vv_rhs, 0, 1, n_falloff + 1); + } + + if (test_add_dissipation) { + grid.loop_int_device<0, 0, 0>( + grid.nghostzones, + [=] CCTK_DEVICE(const Loop::PointDesc &p) + CCTK_ATTRIBUTE_ALWAYS_INLINE { + uu_rhs(p.I) += eps_dissipation * KO_diss_5thorder(uu, p); + vv_rhs(p.I) += eps_dissipation * KO_diss_5thorder(vv, p); + }); + } +} + +extern "C" void NewRadX_CompareSolution(CCTK_ARGUMENTS) { + DECLARE_CCTK_ARGUMENTSX_NewRadX_CompareSolution; + DECLARE_CCTK_PARAMETERS; + + grid.loop_int_device<0, 0, 0>( + grid.nghostzones, + [=] CCTK_DEVICE(const Loop::PointDesc &p) + CCTK_ATTRIBUTE_ALWAYS_INLINE { + CCTK_REAL u_analytic, v_analytic; + gaussian(cctk_time, + gaussian_a0, gaussian_w0, + p.x - gaussian_x0, p.y - gaussian_y0, + p.z - gaussian_z0, u_analytic, v_analytic); + uu_err(p.I) = uu(p.I) - u_analytic; + vv_err(p.I) = vv(p.I) - v_analytic; + }); +} + +extern "C" void NewRadX_EstimateError(CCTK_ARGUMENTS) { + DECLARE_CCTK_ARGUMENTSX_NewRadX_EstimateError; + DECLARE_CCTK_PARAMETERS; + + grid.loop_int_device<1, 1, 1>( + grid.nghostzones, + [=] CCTK_DEVICE(const Loop::PointDesc &p) + CCTK_ATTRIBUTE_ALWAYS_INLINE { + using std::abs, std::max; + CCTK_REAL maxabs_duu = 0; + for (int d = 0; d < Loop::dim; ++d) { + const int ni = d == 0 ? 1 : 2; + const int nj = d == 1 ? 1 : 2; + const int nk = d == 2 ? 1 : 2; + for (int dk = 0; dk < nk; ++dk) { + for (int dj = 0; dj < nj; ++dj) { + for (int di = 0; di < ni; ++di) { + const auto I = p.I + di * p.DI[0] + dj * p.DI[1] + dk * p.DI[2]; + maxabs_duu = max(maxabs_duu, abs(uu(I + p.DI[d]) - uu(I))); + } + } + } + } + regrid_error(p.I) = maxabs_duu; + }); +} + +} // namespace NewRadX diff --git a/NewRadX/test/scalarwave_newradx.par b/NewRadX/test/scalarwave_newradx.par new file mode 100644 index 00000000..15791533 --- /dev/null +++ b/NewRadX/test/scalarwave_newradx.par @@ -0,0 +1,79 @@ +ActiveThorns = " + CarpetX + ODESolvers + NewRadX +" + +$nlevels = 1 +$ncells = 30 +$blocking_factor = 2 + +Cactus::cctk_show_schedule = "yes" +Cactus::cctk_full_warnings = "yes" + +Cactus::presync_mode = "mixed-error" + +Cactus::terminate = "time" +Cactus::cctk_final_time = 20 + +CarpetX::ghost_size = 3 +CarpetX::prolongation_type = "ddf" +CarpetX::prolongation_order = 1 +CarpetX::verbose = no + +CarpetX::xmin = -10 # + 0.123456789 +CarpetX::ymin = -10 # + 0.223456789 +CarpetX::zmin = -10 # + 0.323456789 +CarpetX::xmax = +10 # + 0.123456789 +CarpetX::ymax = +10 # + 0.223456789 +CarpetX::zmax = +10 # + 0.323456789 + +CarpetX::ncells_x = $ncells +CarpetX::ncells_y = $ncells +CarpetX::ncells_z = $ncells + +CarpetX::blocking_factor_x = $blocking_factor +CarpetX::blocking_factor_y = $blocking_factor +CarpetX::blocking_factor_z = $blocking_factor + +CarpetX::boundary_x = "neumann" +CarpetX::boundary_y = "neumann" +CarpetX::boundary_z = "neumann" +CarpetX::boundary_upper_x = "neumann" +CarpetX::boundary_upper_y = "neumann" +CarpetX::boundary_upper_z = "neumann" + +CarpetX::max_num_levels = $nlevels +CarpetX::regrid_every = 1 +CarpetX::regrid_error_threshold = 0.08 + +CarpetX::dtfac = 0.25 + +IO::parfile_write = "no" +IO::out_fileinfo = "axis labels" + +IO::out_dir = $parfile +IO::out_every = 1 + +CarpetX::out_metadata = no +CarpetX::out_tsv_every = 30 +CarpetX::out_tsv_vars = " + NewRadX::uu + NewRadX::vv + NewRadX::uu_err + NewRadX::vv_err +" +# CarpetX::out_norm_omit_unstable = yes +# CarpetX::out_norm_vars = "all" +# CarpetX::out_silo_vars = "all" + +NewRadX::run_test = yes +NewRadX::test_use_newradx = yes +NewRadX::test_add_dissipation = yes +NewRadX::eps_dissipation = 0.2 +NewRadX::n_falloff = 2.0 +NewRadX::gaussian_a0 = 1.0 +NewRadX::gaussian_w0 = 0.5 +NewRadX::gaussian_x0 = 3.0 +NewRadX::gaussian_y0 = 4.0 +NewRadX::gaussian_z0 = 0.0 diff --git a/NewRadX/test/scalarwave_newradx/newradx-error.it000000.x.tsv b/NewRadX/test/scalarwave_newradx/newradx-error.it000000.x.tsv new file mode 100644 index 00000000..41e2a099 --- /dev/null +++ b/NewRadX/test/scalarwave_newradx/newradx-error.it000000.x.tsv @@ -0,0 +1,38 @@ +# 1:iteration 2:time 3:patch 4:level 5:i 6:j 7:k 8:x 9:y 10:z 11:uu_err 12:vv_err +0 0.0000000000000000e+00 0 0 -3 15 15 -1.2000000000000000e+01 0.0000000000000000e+00 0.0000000000000000e+00 0.0000000000000000e+00 0.0000000000000000e+00 +0 0.0000000000000000e+00 0 0 -2 15 15 -1.1333333333333334e+01 0.0000000000000000e+00 0.0000000000000000e+00 0.0000000000000000e+00 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5.0685324548083903e-04 +120 2.0000000000000004e+01 0 0 15 15 26 0.0000000000000000e+00 0.0000000000000000e+00 7.3333333333333321e+00 7.6573673451536448e-04 7.4544074792169646e-04 +120 2.0000000000000004e+01 0 0 15 15 27 0.0000000000000000e+00 0.0000000000000000e+00 8.0000000000000000e+00 6.6531193191193805e-04 9.4854882468228070e-04 +120 2.0000000000000004e+01 0 0 15 15 28 0.0000000000000000e+00 0.0000000000000000e+00 8.6666666666666643e+00 4.1209281433778983e-04 8.4698820827272601e-04 +120 2.0000000000000004e+01 0 0 15 15 29 0.0000000000000000e+00 0.0000000000000000e+00 9.3333333333333321e+00 3.8238729768339831e-04 3.2649230893172547e-04 +120 2.0000000000000004e+01 0 0 15 15 30 0.0000000000000000e+00 0.0000000000000000e+00 1.0000000000000000e+01 4.2596553591026250e-04 2.2007661031068801e-04 +120 2.0000000000000004e+01 0 0 15 15 31 0.0000000000000000e+00 0.0000000000000000e+00 1.0666666666666664e+01 4.2596553591026250e-04 2.2007661031068801e-04 +120 2.0000000000000004e+01 0 0 15 15 32 0.0000000000000000e+00 0.0000000000000000e+00 1.1333333333333332e+01 4.2596553591026250e-04 2.2007661031068801e-04 +120 2.0000000000000004e+01 0 0 15 15 33 0.0000000000000000e+00 0.0000000000000000e+00 1.2000000000000000e+01 4.2596553591026250e-04 2.2007661031068801e-04 From 9cb4db70e25880ce6ee1a5b5df3954066b41bf7e Mon Sep 17 00:00:00 2001 From: Cheng-Hsin Cheng Date: Thu, 31 Aug 2023 13:39:39 -0500 Subject: [PATCH 2/2] scripts: Add NewRadX to thornlist --- scripts/spacetimex.th | 1 + 1 file changed, 1 insertion(+) diff --git a/scripts/spacetimex.th b/scripts/spacetimex.th index b9d36abb..d9353a66 100644 --- a/scripts/spacetimex.th +++ b/scripts/spacetimex.th @@ -730,6 +730,7 @@ SpacetimeX/AHFinderDirect SpacetimeX/AHFinderX SpacetimeX/BrillLindquist SpacetimeX/Cowling +SpacetimeX/NewRadX SpacetimeX/Punctures SpacetimeX/SphericalHarmonics SpacetimeX/SphericalSurface