From 94d3e79a8617f88dc0219cfdeedfa3147833719d Mon Sep 17 00:00:00 2001
From: Adrian Kummerlaender
Date: Mon, 24 Jun 2019 14:43:36 +0200
Subject: Initialize at openlb-1-3
---
examples/laminar/poiseuille3d/Makefile | 105 +++++
examples/laminar/poiseuille3d/definitions.mk | 30 ++
examples/laminar/poiseuille3d/launcher3d.sh | 2 +
examples/laminar/poiseuille3d/module.mk | 29 ++
examples/laminar/poiseuille3d/poiseuille3d.cpp | 613 +++++++++++++++++++++++++
5 files changed, 779 insertions(+)
create mode 100644 examples/laminar/poiseuille3d/Makefile
create mode 100644 examples/laminar/poiseuille3d/definitions.mk
create mode 100755 examples/laminar/poiseuille3d/launcher3d.sh
create mode 100644 examples/laminar/poiseuille3d/module.mk
create mode 100755 examples/laminar/poiseuille3d/poiseuille3d.cpp
(limited to 'examples/laminar/poiseuille3d')
diff --git a/examples/laminar/poiseuille3d/Makefile b/examples/laminar/poiseuille3d/Makefile
new file mode 100644
index 0000000..a953954
--- /dev/null
+++ b/examples/laminar/poiseuille3d/Makefile
@@ -0,0 +1,105 @@
+# This file is part of the OpenLB library
+#
+# Copyright (C) 2007 Mathias Krause
+# E-mail contact: info@openlb.net
+# The most recent release of OpenLB can be downloaded at
+#
+#
+# This program is free software; you can redistribute it and/or
+# modify it under the terms of the GNU General Public License
+# as published by the Free Software Foundation; either version 2
+# of the License, or (at your option) any later version.
+#
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+# GNU General Public License for more details.
+#
+# You should have received a copy of the GNU General Public
+# License along with this program; if not, write to the Free
+# Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
+# Boston, MA 02110-1301, USA.
+
+###########################################################################
+## definitions
+
+include definitions.mk
+
+include $(ROOT)/global.mk
+
+OBJECTS := $(foreach file, $(SRC), $(PWD)/$(file:.cpp=.o))
+DEPS := $(foreach file, $(SRC), $(PWD)/$(file:.cpp=.d))
+
+###########################################################################
+## all
+
+all : depend compile link
+
+
+###########################################################################
+## dependencies
+
+depend : $(DEPS)
+
+$(PWD)/%.d : %.cpp
+ @echo Create dependencies for $<
+ @$(SHELL) -ec '$(CXX) -M $(CXXFLAGS) $(IDIR) $< \
+ | sed -e "s!$*\.o!$(PWD)\/$*\.o!1" > .tmpfile; \
+ cp -f .tmpfile $@;'
+
+###########################################################################
+## compile
+
+compile : $(OBJECTS)
+
+$(PWD)/%.o: %.cpp
+ @echo Compile $<
+ $(CXX) $(CXXFLAGS) $(IDIR) -c $< -o $@
+
+###########################################################################
+## clean
+
+clean : cleanrub cleanobj cleandep
+
+cleanrub:
+ @echo Clean rubbish files
+ @rm -f *~ core .tmpfile tmp/*.* $(OUTPUT)
+ @rm -f tmp/vtkData/*.* tmp/vtkData/data/*.* tmp/imageData/*.* tmp/gnuplotData/*.* tmp/gnuplotData/data/*.*
+
+cleanobj:
+ @echo Clean object files
+ @rm -f $(OBJECTS)
+
+cleandep:
+ @echo Clean dependencies files
+ @rm -f $(DEPS)
+
+cleanbuild:
+ @cd $(ROOT); \
+ $(MAKE) cleanlib;
+
+###########################################################################
+## update lib
+
+$(ROOT)/$(LIBDIR)/lib$(LIB).a :
+ @cd $(ROOT); \
+ $(MAKE) all
+
+###########################################################################
+## link
+
+link: $(OUTPUT)
+
+$(OUTPUT): $(OBJECTS) $(ROOT)/$(LIBDIR)/lib$(LIB).a
+ @echo Link $@
+ $(CXX) $(foreach file, $(SRC), $(file:.cpp=.o)) $(LDFLAGS) -L$(ROOT)/$(LIBDIR) -l$(LIB) -lz -o $@
+
+###########################################################################
+## include dependencies
+
+ifneq "$(strip $(wildcard *.d))" ""
+ include $(foreach file,$(DEPS),$(file))
+endif
+
+###########################################################################
+###########################################################################
diff --git a/examples/laminar/poiseuille3d/definitions.mk b/examples/laminar/poiseuille3d/definitions.mk
new file mode 100644
index 0000000..f4827a0
--- /dev/null
+++ b/examples/laminar/poiseuille3d/definitions.mk
@@ -0,0 +1,30 @@
+# This file is part of the OpenLB library
+#
+# Copyright (C) 2007 Mathias Krause
+# E-mail contact: info@openlb.net
+# The most recent release of OpenLB can be downloaded at
+#
+#
+# This program is free software; you can redistribute it and/or
+# modify it under the terms of the GNU General Public License
+# as published by the Free Software Foundation; either version 2
+# of the License, or (at your option) any later version.
+#
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+# GNU General Public License for more details.
+#
+# You should have received a copy of the GNU General Public
+# License along with this program; if not, write to the Free
+# Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
+# Boston, MA 02110-1301, USA.
+
+
+###########################################################################
+###########################################################################
+## DEFINITIONS TO BE CHANGED
+
+ROOT := ../../..
+SRC := poiseuille3d.cpp
+OUTPUT := poiseuille3d
diff --git a/examples/laminar/poiseuille3d/launcher3d.sh b/examples/laminar/poiseuille3d/launcher3d.sh
new file mode 100755
index 0000000..04cfe09
--- /dev/null
+++ b/examples/laminar/poiseuille3d/launcher3d.sh
@@ -0,0 +1,2 @@
+#!/bin/bash
+mpirun -np 4 poiseuille3d 21 0 5
diff --git a/examples/laminar/poiseuille3d/module.mk b/examples/laminar/poiseuille3d/module.mk
new file mode 100644
index 0000000..1190482
--- /dev/null
+++ b/examples/laminar/poiseuille3d/module.mk
@@ -0,0 +1,29 @@
+# This file is part of the OpenLB library
+#
+# Copyright (C) 2017 Markus Mohrhard
+# E-mail contact: info@openlb.net
+# The most recent release of OpenLB can be downloaded at
+#
+#
+# This program is free software; you can redistribute it and/or
+# modify it under the terms of the GNU General Public License
+# as published by the Free Software Foundation; either version 2
+# of the License, or (at your option) any later version.
+#
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+# GNU General Public License for more details.
+#
+# You should have received a copy of the GNU General Public
+# License along with this program; if not, write to the Free
+# Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
+# Boston, MA 02110-1301, USA.
+
+current_dir := $(dir $(word $(words $(MAKEFILE_LIST)),$(MAKEFILE_LIST)))
+
+include global.mk
+include rules.mk
+include $(addsuffix definitions.mk, $(current_dir))
+
+$(eval $(call sample,$(current_dir)$(OUTPUT),$(addprefix $(current_dir), $(SRC))))
diff --git a/examples/laminar/poiseuille3d/poiseuille3d.cpp b/examples/laminar/poiseuille3d/poiseuille3d.cpp
new file mode 100755
index 0000000..11a1eb1
--- /dev/null
+++ b/examples/laminar/poiseuille3d/poiseuille3d.cpp
@@ -0,0 +1,613 @@
+/* Lattice Boltzmann sample, written in C++, using the OpenLB
+ * library
+ *
+ * Copyright (C) 2018 Marc Haußmann, Mathias J. Krause
+ * E-mail contact: info@openlb.net
+ * The most recent release of OpenLB can be downloaded at
+ *
+ *
+ * This program is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU General Public License
+ * as published by the Free Software Foundation; either version 2
+ * of the License, or (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public
+ * License along with this program; if not, write to the Free
+ * Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
+ * Boston, MA 02110-1301, USA.
+ */
+
+/* poiseuille3d.cpp:
+ * This example examines a 3D Poseuille flow
+ * It illustrates the computation of error norms.
+ */
+
+
+#include "olb3D.h"
+#include "olb3D.hh"
+
+#include
+#include
+#include
+#include
+#include
+
+using namespace olb;
+using namespace olb::descriptors;
+using namespace olb::graphics;
+using namespace std;
+
+typedef double T;
+
+//#define MRT
+#ifdef MRT
+#define DESCRIPTOR ForcedMRTD3Q19Descriptor
+#else
+#define DESCRIPTOR D3Q19
+#endif
+
+typedef enum {forced, nonForced} FlowType;
+
+typedef enum {bounceBack, local, interpolated, bouzidi, freeSlip, partialSlip} BoundaryType;
+
+
+// Parameters for the simulation setup
+FlowType flowType = forced;
+BoundaryType boundaryType = bouzidi;
+const T length = 2.; // length of the pie
+const T diameter = 1.; // diameter of the pipe
+int N = 21; // resolution of the model
+const T physU = 1.; // physical velocity
+const T Re = 10.; // Reynolds number
+const T physRho = 1.; // physical density
+const T tau = 0.8; // lattice relaxation time
+const T maxPhysT = 20.; // max. simulation time in s, SI unit
+const T residuum = 1e-5; // residuum for the convergence check
+const T tuner = 0.97; // for partialSlip only: 0->bounceBack, 1->freeSlip
+
+// Scaled Parameters
+const T radius = diameter/2.; // radius of the pipe
+const T physInterval = 0.0125*maxPhysT; // interval for the convergence check in s
+
+
+// Stores geometry information in form of material numbers
+void prepareGeometry( UnitConverter const& converter,
+ SuperGeometry3D& superGeometry )
+{
+
+ OstreamManager clout(std::cout, "prepareGeometry");
+
+ clout << "Prepare Geometry ..." << std::endl;
+
+ Vector center0(-converter.getPhysDeltaX() * 0.2, radius, radius);
+ Vector center1(length, radius, radius);
+ if (flowType == forced) {
+ center0[0] -= 3.*converter.getPhysDeltaX();
+ center1[0] += 3.*converter.getPhysDeltaX();
+ }
+ IndicatorCylinder3D pipe(center0, center1, radius);
+
+ superGeometry.rename(0, 2);
+
+ superGeometry.rename(2, 1, pipe);
+
+ if (flowType == nonForced) {
+ Vector origin(0, radius, radius);
+ Vector extend = origin;
+
+ // Set material number for inflow
+ origin[0] = -converter.getPhysDeltaX() * 2;
+ extend[0] = converter.getPhysDeltaX() * 2;
+ IndicatorCylinder3D inflow(origin, extend, radius);
+ superGeometry.rename(2, 3, 1, inflow);
+
+ // Set material number for outflow
+ origin[0] = length - 2 * converter.getPhysDeltaX();
+ extend[0] = length + 2 * converter.getPhysDeltaX();
+ IndicatorCylinder3D outflow(extend, origin, radius);
+ superGeometry.rename(2, 4, 1, outflow);
+ }
+
+ // Removes all not needed boundary voxels outside the surface
+ superGeometry.clean();
+ // Removes all not needed boundary voxels inside the surface
+ superGeometry.innerClean();
+ superGeometry.checkForErrors();
+
+ superGeometry.print();
+
+ clout << "Prepare Geometry ... OK" << std::endl;
+}
+
+// Set up the geometry of the simulation
+void prepareLattice(SuperLattice3D& sLattice,
+ UnitConverterconst& converter,
+ Dynamics& bulkDynamics,
+ sOnLatticeBoundaryCondition3D& onBc,
+ sOffLatticeBoundaryCondition3D& offBc,
+ SuperGeometry3D& superGeometry)
+{
+
+ OstreamManager clout( std::cout,"prepareLattice" );
+ clout << "Prepare Lattice ..." << std::endl;
+
+ const T omega = converter.getLatticeRelaxationFrequency();
+
+ // Material=0 -->do nothing
+ sLattice.defineDynamics( superGeometry, 0, &instances::getNoDynamics() );
+
+ // Material=1 -->bulk dynamics
+ sLattice.defineDynamics( superGeometry, 1, &bulkDynamics );
+
+ Vector center0(0, radius, radius);
+ Vector center1(length, radius, radius);
+
+ std::vector origin = { length, radius, radius};
+ std::vector axis = { 1, 0, 0 };
+
+ CirclePoiseuille3D poiseuilleU(origin, axis, converter.getCharLatticeVelocity(), radius);
+
+ if (boundaryType == bounceBack) {
+ sLattice.defineDynamics( superGeometry, 2, &instances::getBounceBack() );
+ }
+ else if (boundaryType == freeSlip) {
+ sLattice.defineDynamics(superGeometry, 2, &instances::getNoDynamics());
+ onBc.addSlipBoundary( superGeometry, 2 );
+ }
+ else if (boundaryType == partialSlip) {
+ sLattice.defineDynamics(superGeometry, 2, &instances::getNoDynamics());
+ onBc.addPartialSlipBoundary(tuner, superGeometry, 2 );
+ }
+ else if (boundaryType == bouzidi) {
+ sLattice.defineDynamics(superGeometry, 2, &instances::getNoDynamics() );
+
+ center0[0] -= 0.5*converter.getPhysDeltaX();
+ center1[0] += 0.5*converter.getPhysDeltaX();
+ if (flowType == forced) {
+ center0[0] -= 3.*converter.getPhysDeltaX();
+ center1[0] += 3.*converter.getPhysDeltaX();
+ }
+ IndicatorCylinder3D pipe(center0, center1, radius);
+ offBc.addZeroVelocityBoundary(superGeometry, 2, pipe);
+ }
+ else {
+ sLattice.defineDynamics( superGeometry, 2, &bulkDynamics );
+ onBc.addVelocityBoundary( superGeometry, 2, omega );
+ }
+
+ if (flowType == nonForced) {
+ if (boundaryType == bouzidi) {
+ sLattice.defineDynamics(superGeometry, 3, &instances::getNoDynamics() );
+ IndicatorCylinder3D pipe(center0, center1, radius);
+ offBc.addVelocityBoundary(superGeometry, 3, pipe);
+ offBc.defineU(superGeometry,3,poiseuilleU);
+ }
+ else {
+ // Material=3 -->bulk dynamics
+ sLattice.defineDynamics( superGeometry, 3, &bulkDynamics );
+ onBc.addVelocityBoundary( superGeometry, 3, omega );
+ }
+ // Material=4 -->bulk dynamics
+ sLattice.defineDynamics( superGeometry, 4, &bulkDynamics );
+ onBc.addPressureBoundary( superGeometry, 4, omega );
+ }
+
+ if (flowType == forced) {
+ // Initial conditions
+ T D = converter.getLatticeLength(diameter);
+
+ std::vector poiseuilleForce(3, T());
+ poiseuilleForce[0] = 4. * converter.getLatticeViscosity() * converter.getCharLatticeVelocity() / (D * D / 4. );
+ AnalyticalConst3D force( poiseuilleForce );
+
+ // Initialize force
+ sLattice.defineField(superGeometry, 1, force);
+ sLattice.defineField(superGeometry, 2, force );
+
+
+ AnalyticalConst3D rhoF(1);
+
+ sLattice.defineRhoU(superGeometry, 1, rhoF, poiseuilleU);
+ sLattice.iniEquilibrium(superGeometry, 1, rhoF, poiseuilleU);
+ sLattice.defineRhoU(superGeometry, 2, rhoF, poiseuilleU);
+ sLattice.iniEquilibrium(superGeometry, 2, rhoF, poiseuilleU);
+ }
+ else {
+ // Initial conditions
+ T p0 = 4. * converter.getPhysViscosity() * converter.getCharPhysVelocity() * length / (radius * radius);
+
+ p0 = converter.getLatticePressure(p0);
+ AnalyticalLinear3D rho(-p0 / length * descriptors::invCs2(), 0, 0, p0 * descriptors::invCs2() + 1);
+
+ std::vector velocity(3, T());
+ AnalyticalConst3D uF(velocity);
+
+ // Initialize all values of distribution functions to their local equilibrium
+ sLattice.defineRhoU(superGeometry, 0, rho, uF);
+ sLattice.iniEquilibrium(superGeometry, 0, rho, uF);
+ sLattice.defineRhoU(superGeometry, 1, rho, poiseuilleU);
+ sLattice.iniEquilibrium(superGeometry, 1, rho, poiseuilleU);
+ sLattice.defineRhoU(superGeometry, 2, rho, poiseuilleU);
+ sLattice.iniEquilibrium(superGeometry, 2, rho, poiseuilleU);
+ sLattice.defineRhoU(superGeometry, 3, rho, poiseuilleU);
+ sLattice.iniEquilibrium(superGeometry, 3, rho, poiseuilleU);
+ sLattice.defineRhoU(superGeometry, 4, rho, poiseuilleU);
+ sLattice.iniEquilibrium(superGeometry, 4, rho, poiseuilleU);
+ }
+
+ // Make the lattice ready for simulation
+ sLattice.initialize();
+
+ clout << "Prepare Lattice ... OK" << std::endl;
+}
+
+// Compute error norms
+void error( SuperGeometry3D& superGeometry,
+ SuperLattice3D& sLattice,
+ UnitConverter const& converter,
+ Dynamics& bulkDynamics,
+ SuperLatticePhysWallShearStress3D& wss)
+{
+ OstreamManager clout( std::cout,"error" );
+
+ int tmp[]= { };
+ T result[2]= { };
+
+ // velocity error
+ const T maxVelocity = converter.getCharPhysVelocity();
+ std::vector axisPoint = {length, radius, radius};
+ std::vector axisDirection = { 1, 0, 0 };
+ CirclePoiseuille3D uSol(axisPoint, axisDirection, maxVelocity, radius);
+ SuperLatticePhysVelocity3D u( sLattice,converter );
+ auto indicatorF = superGeometry.getMaterialIndicator(1);
+
+ SuperAbsoluteErrorL1Norm3D absVelocityErrorNormL1(u, uSol, indicatorF);
+ absVelocityErrorNormL1(result, tmp);
+ clout << "velocity-L1-error(abs)=" << result[0];
+ SuperRelativeErrorL1Norm3D relVelocityErrorNormL1(u, uSol, indicatorF);
+ relVelocityErrorNormL1(result, tmp);
+ clout << "; velocity-L1-error(rel)=" << result[0] << std::endl;
+
+ SuperAbsoluteErrorL2Norm3D absVelocityErrorNormL2(u, uSol, indicatorF);
+ absVelocityErrorNormL2(result, tmp);
+ clout << "velocity-L2-error(abs)=" << result[0];
+ SuperRelativeErrorL2Norm3D relVelocityErrorNormL2(u, uSol, indicatorF);
+ relVelocityErrorNormL2(result, tmp);
+ clout << "; velocity-L2-error(rel)=" << result[0] << std::endl;
+
+ SuperAbsoluteErrorLinfNorm3D absVelocityErrorNormLinf(u, uSol, indicatorF);
+ absVelocityErrorNormLinf(result, tmp);
+ clout << "velocity-Linf-error(abs)=" << result[0];
+ SuperRelativeErrorLinfNorm3D relVelocityErrorNormLinf(u, uSol, indicatorF);
+ relVelocityErrorNormLinf(result, tmp);
+ clout << "; velocity-Linf-error(rel)=" << result[0] << std::endl;
+
+ // strainRate error
+ CirclePoiseuilleStrainRate3D sSol( converter, radius );
+ SuperLatticePhysStrainRate3D s( sLattice,converter );
+
+ SuperAbsoluteErrorL1Norm3D absStrainRateErrorNormL1(s, sSol, indicatorF);
+ absStrainRateErrorNormL1(result, tmp);
+ clout << "strainRate-L1-error(abs)=" << result[0];
+ SuperRelativeErrorL1Norm3D relStrainRateErrorNormL1(s, sSol, indicatorF);
+ relStrainRateErrorNormL1(result, tmp);
+ clout << "; strainRate-L1-error(rel)=" << result[0] << std::endl;
+
+ SuperAbsoluteErrorL2Norm3D absStrainRateErrorNormL2(s, sSol, indicatorF);
+ absStrainRateErrorNormL2(result, tmp);
+ clout << "strainRate-L2-error(abs)=" << result[0];
+ SuperRelativeErrorL2Norm3D relStrainRateErrorNormL2(s, sSol, indicatorF);
+ relStrainRateErrorNormL2(result, tmp);
+ clout << "; strainRate-L2-error(rel)=" << result[0] << std::endl;
+
+ SuperAbsoluteErrorLinfNorm3D absStrainRateErrorNormLinf(s, sSol, indicatorF);
+ absStrainRateErrorNormLinf(result, tmp);
+ clout << "strainRate-Linf-error(abs)=" << result[0];
+ SuperRelativeErrorLinfNorm3D relStrainRateErrorNormLinf(s, sSol, indicatorF);
+ relStrainRateErrorNormLinf(result, tmp);
+ clout << "; strainRate-Linf-error(rel)=" << result[0] << std::endl;
+
+ // wallShearStress error
+ AnalyticalConst3D wssSol(4. * converter.getPhysViscosity() * converter.getPhysDensity() * maxVelocity / diameter);
+ SuperLatticeFfromAnalyticalF3D wssSolLattice (wssSol, sLattice);
+
+ auto indicatorB = superGeometry.getMaterialIndicator(2);
+
+ SuperAbsoluteErrorL1Norm3D absWallShearStressErrorNormL1(wss, wssSol, indicatorB);
+ absWallShearStressErrorNormL1(result, tmp);
+ clout << "wss-L1-error(abs)=" << result[0];
+ SuperRelativeErrorL1Norm3D relWallShearStressErrorNormL1(wss, wssSol, indicatorB);
+ relWallShearStressErrorNormL1(result, tmp);
+ clout << "; wss-L1-error(rel)=" << result[0] << std::endl;
+
+ SuperAbsoluteErrorL2Norm3D absWallShearStressErrorNormL2(wss, wssSol, indicatorB);
+ absWallShearStressErrorNormL2(result, tmp);
+ clout << "wss-L2-error(abs)=" << result[0];
+ SuperRelativeErrorL2Norm3D relWallShearStressErrorNormL2(wss, wssSol, indicatorB);
+ relWallShearStressErrorNormL2(result, tmp);
+ clout << "; wss-L2-error(rel)=" << result[0] << std::endl;
+
+ SuperAbsoluteErrorLinfNorm3D absWallShearStressErrorNormLinf(wss, wssSol, indicatorB);
+ absWallShearStressErrorNormLinf(result, tmp);
+ clout << "wss-Linf-error(abs)=" << result[0];
+ SuperRelativeErrorLinfNorm3D relWallShearStressErrorNormLinf(wss, wssSol, indicatorB);
+ relWallShearStressErrorNormLinf(result, tmp);
+ clout << "; wss-Linf-error(rel)=" << result[0] << std::endl;
+
+ if (flowType == nonForced) {
+ // pressure error
+ T p0 = 4. * converter.getPhysViscosity() * maxVelocity * length / (radius * radius);
+ AnalyticalLinear3D pressureSol(-p0 / length, 0, 0, p0);
+ SuperLatticePhysPressure3D pressure(sLattice, converter);
+
+ SuperAbsoluteErrorL1Norm3D absPressureErrorNormL1(pressure, pressureSol, indicatorF);
+ absPressureErrorNormL1(result, tmp);
+ clout << "pressure-L1-error(abs)=" << result[0];
+ SuperRelativeErrorL1Norm3D relPressureErrorNormL1(pressure, pressureSol, indicatorF);
+ relPressureErrorNormL1(result, tmp);
+ clout << "; pressure-L1-error(rel)=" << result[0] << std::endl;
+
+ SuperAbsoluteErrorL2Norm3D absPressureErrorNormL2(pressure, pressureSol, indicatorF);
+ absPressureErrorNormL2(result, tmp);
+ clout << "pressure-L2-error(abs)=" << result[0];
+ SuperRelativeErrorL2Norm3D relPressureErrorNormL2(pressure, pressureSol, indicatorF);
+ relPressureErrorNormL2(result, tmp);
+ clout << "; pressure-L2-error(rel)=" << result[0] << std::endl;
+
+ SuperAbsoluteErrorLinfNorm3D absPressureErrorNormLinf(pressure, pressureSol, indicatorF);
+ absPressureErrorNormLinf(result, tmp);
+ clout << "pressure-Linf-error(abs)=" << result[0];
+ SuperRelativeErrorLinfNorm3D relPressureErrorNormLinf(pressure, pressureSol, indicatorF);
+ relPressureErrorNormLinf(result, tmp);
+ clout << "; pressure-Linf-error(rel)=" << result[0] << std::endl;
+ }
+}
+
+// Output to console and files
+void getResults( SuperLattice3D& sLattice, Dynamics& bulkDynamics,
+ UnitConverter const& converter, int iT,
+ SuperGeometry3D& superGeometry, Timer& timer, bool hasConverged,
+ SuperLatticePhysWallShearStress3D& wss)
+{
+
+ OstreamManager clout( std::cout,"getResults" );
+
+ SuperVTMwriter3D vtmWriter( "poiseuille3d" );
+ SuperLatticePhysVelocity3D velocity( sLattice, converter );
+ SuperLatticePhysPressure3D pressure( sLattice, converter );
+ vtmWriter.addFunctor( velocity );
+ vtmWriter.addFunctor( pressure );
+ vtmWriter.addFunctor( wss );
+
+ const int vtmIter = converter.getLatticeTime( maxPhysT/20. );
+ const int statIter = converter.getLatticeTime( maxPhysT/20. );
+
+ if ( iT==0 ) {
+ // Writes the geometry, cuboid no. and rank no. as vti file for visualization
+ SuperLatticeGeometry3D geometry( sLattice, superGeometry );
+ SuperLatticeCuboid3D cuboid( sLattice );
+ SuperLatticeRank3D rank( sLattice );
+
+ vtmWriter.write( geometry );
+ vtmWriter.write( cuboid );
+ vtmWriter.write( rank );
+
+ vtmWriter.createMasterFile();
+ }
+
+ // Writes the vtm files and profile text file
+ if ( iT%vtmIter==0 || hasConverged ) {
+ vtmWriter.write( iT );
+
+ SuperEuklidNorm3D normVel( velocity );
+ BlockReduction3D2D planeReduction( normVel, {0,0,1}, 600, BlockDataSyncMode::ReduceOnly );
+ // write output as JPEG
+ heatmap::write(planeReduction, iT);
+
+ }
+
+ if ( hasConverged ) {
+ Gnuplot gplot( "centerVelocity" );
+ T D = converter.getLatticeLength( diameter );
+ for ( int iY=0; iY<=D; ++iY ) {
+ T dx = 1. / T(converter.getResolution());
+ T point[3]= {T(),T(),T()};
+ point[0] = length/2.;
+ point[1] = ( T )converter.getPhysLength(iY);
+ point[2] = ( T )radius;
+ const T maxVelocity = converter.getCharPhysVelocity();
+ std::vector axisPoint = {length, radius, radius};
+ std::vector axisDirection = { 1, 0, 0 };
+ CirclePoiseuille3D uSol(axisPoint, axisDirection, maxVelocity, radius);
+ T analytical[3] = {T(),T(),T()};
+ uSol( analytical,point );
+ SuperLatticePhysVelocity3D velocity( sLattice, converter );
+ AnalyticalFfromSuperF3D intpolateVelocity( velocity, true, 1 );
+ T numerical[3] = {T(),T(),T()};
+ intpolateVelocity( numerical,point );
+ gplot.setData( iY*dx, {analytical[0],numerical[0]}, {"analytical","numerical"} );
+ }
+ // Create PNG file
+ gplot.writePNG();
+ }
+
+ // Writes output on the console
+ if ( iT%statIter==0 || hasConverged ) {
+ // Timer console output
+ timer.update( iT );
+ timer.printStep();
+
+ // Lattice statistics console output
+ sLattice.getStatistics().print( iT,converter.getPhysTime( iT ) );
+
+ // Error norms
+ error( superGeometry, sLattice, converter, bulkDynamics, wss );
+ }
+}
+
+int main( int argc, char* argv[] )
+{
+
+ // === 1st Step: Initialization ===
+ olbInit( &argc, &argv );
+ singleton::directories().setOutputDir( "./tmp/" );
+ OstreamManager clout( std::cout,"main" );
+
+ if (argc > 1) {
+ if (argv[1][0]=='-'&&argv[1][1]=='h') {
+ OstreamManager clout( std::cout,"help" );
+ clout<<"Usage: program [Resolution] [FlowType] [BoundaryType]"< 1) {
+ N = atoi(argv[1]);
+ if (N < 1) {
+ std::cerr << "Fluid domain is too small" << std::endl;
+ return 1;
+ }
+ }
+
+ if (argc > 2) {
+ int flowTypeNumber = atoi(argv[2]);
+ if (flowTypeNumber < 0 || flowTypeNumber > (int)nonForced) {
+ std::cerr << "Unknown fluid flow type" << std::endl;
+ return 2;
+ }
+ flowType = (FlowType) flowTypeNumber;
+ }
+
+ if (argc > 3) {
+ int boundaryTypeNumber = atoi(argv[3]);
+ if (boundaryTypeNumber < 0 || boundaryTypeNumber > (int) partialSlip) {
+ std::cerr << "Unknown boundary type" << std::endl;
+ return 3;
+ }
+ boundaryType = (BoundaryType) boundaryTypeNumber;
+ }
+
+ UnitConverterFromResolutionAndRelaxationTime const converter(
+ int {N}, // resolution: number of voxels per charPhysL
+ (T) tau, // latticeRelaxationTime: relaxation time, have to be greater than 0.5!
+ (T) diameter, // charPhysLength: reference length of simulation geometry
+ (T) physU, // charPhysVelocity: maximal/highest expected velocity during simulation in __m / s__
+ (T) diameter*physU/Re, // physViscosity: physical kinematic viscosity in __m^2 / s__
+ (T) physRho // physDensity: physical density in __kg / m^3__
+ );
+ // Prints the converter log as console output
+ converter.print();
+ // Writes the converter log in a file
+ converter.write("poiseuille3d");
+
+
+ // === 2nd Step: Prepare Geometry ===
+
+ Vector center0(0, radius, radius);
+ Vector center1(length, radius, radius);
+ IndicatorCylinder3D pipe(center0, center1, radius);
+ IndicatorLayer3D extendedDomain(pipe, converter.getPhysDeltaX());
+
+ // Instantiation of a cuboidGeometry with weights
+#ifdef PARALLEL_MODE_MPI
+ const int noOfCuboids = 2*singleton::mpi().getSize();
+#else // ifdef PARALLEL_MODE_MPI
+ const int noOfCuboids = 6;
+#endif // ifdef PARALLEL_MODE_MPI
+ CuboidGeometry3D cuboidGeometry(extendedDomain, converter.getPhysDeltaX(), noOfCuboids);
+ if (flowType == forced) {
+ // Periodic boundaries in x-direction
+ cuboidGeometry.setPeriodicity( true, false, false );
+ }
+
+ // Instantiation of a loadBalancer
+ HeuristicLoadBalancer loadBalancer(cuboidGeometry);
+
+ // Instantiation of a superGeometry
+ SuperGeometry3D superGeometry(cuboidGeometry, loadBalancer, 2);
+
+ prepareGeometry(converter, superGeometry);
+
+ // === 3rd Step: Prepare Lattice ===
+ SuperLattice3D sLattice( superGeometry );
+
+ std::unique_ptr> bulkDynamics;
+
+#if defined(MRT)
+ if (flowType == forced) {
+ bulkDynamics.reset(new ForcedMRTdynamics( converter.getLatticeRelaxationFrequency(), instances::getBulkMomenta() ));
+ }
+ else {
+ bulkDynamics.reset(new MRTdynamics( converter.getLatticeRelaxationFrequency(), instances::getBulkMomenta() ));
+ }
+#else
+ if (flowType == forced) {
+ bulkDynamics.reset(new ForcedBGKdynamics( converter.getLatticeRelaxationFrequency(), instances::getBulkMomenta() ));
+ }
+ else {
+ bulkDynamics.reset(new BGKdynamics( converter.getLatticeRelaxationFrequency(), instances::getBulkMomenta() ));
+ }
+#endif
+
+
+ // choose between local and non-local boundary condition
+ sOnLatticeBoundaryCondition3D sOnBoundaryCondition( sLattice );
+ sOffLatticeBoundaryCondition3D sOffBoundaryCondition(sLattice);
+ createBouzidiBoundaryCondition3D(sOffBoundaryCondition);
+
+ if (boundaryType == local) {
+ createLocalBoundaryCondition3D (sOnBoundaryCondition);
+ }
+ else {
+ createInterpBoundaryCondition3D ( sOnBoundaryCondition );
+ }
+
+ prepareLattice(sLattice, converter, *bulkDynamics, sOnBoundaryCondition, sOffBoundaryCondition, superGeometry);
+
+ // set up size-increased indicator and instantiate wall shear stress functor (wss)
+ Vector center0Extended(-converter.getPhysDeltaX() * 0.2, radius, radius);
+ Vector center1Extended(length, radius, radius);
+ if (flowType == forced) {
+ center0Extended[0] -= 4.*converter.getPhysDeltaX();
+ center1Extended[0] += 4.*converter.getPhysDeltaX();
+ }
+ IndicatorCylinder3D pipeExtended(center0Extended, center1Extended, radius);
+ IndicatorLayer3D indicatorExtended (pipeExtended, 0.9*converter.getConversionFactorLength()*N/11.);
+ SuperLatticePhysWallShearStress3D wss(sLattice, superGeometry, 2, converter, indicatorExtended);
+
+ // === 4th Step: Main Loop with Timer ===
+ clout << "starting simulation..." << endl;
+ Timer timer( converter.getLatticeTime( maxPhysT ), superGeometry.getStatistics().getNvoxel() );
+ util::ValueTracer converge( converter.getLatticeTime( physInterval ), residuum );
+ timer.start();
+
+ for ( int iT = 0; iT < converter.getLatticeTime( maxPhysT ); ++iT ) {
+ if ( converge.hasConverged() ) {
+ clout << "Simulation converged." << endl;
+ getResults( sLattice, *bulkDynamics, converter, iT, superGeometry, timer, converge.hasConverged(), wss );
+
+ break;
+ }
+
+ // === 5th Step: Definition of Initial and Boundary Conditions ===
+ // in this application no boundary conditions have to be adjusted
+
+ // === 6th Step: Collide and Stream Execution ===
+ sLattice.collideAndStream();
+
+ // === 7th Step: Computation and Output of the Results ===
+ getResults( sLattice, *bulkDynamics, converter, iT, superGeometry, timer, converge.hasConverged(), wss );
+ converge.takeValue( sLattice.getStatistics().getAverageEnergy(), true );
+ }
+
+ timer.stop();
+ timer.printSummary();
+}
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