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-rw-r--r--examples/turbulence/nozzle3d/Makefile105
-rw-r--r--examples/turbulence/nozzle3d/definitions.mk30
-rw-r--r--examples/turbulence/nozzle3d/module.mk29
-rw-r--r--examples/turbulence/nozzle3d/nozzle3d.cpp382
4 files changed, 546 insertions, 0 deletions
diff --git a/examples/turbulence/nozzle3d/Makefile b/examples/turbulence/nozzle3d/Makefile
new file mode 100644
index 0000000..a953954
--- /dev/null
+++ b/examples/turbulence/nozzle3d/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
+# <http://www.openlb.net/>
+#
+# 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/turbulence/nozzle3d/definitions.mk b/examples/turbulence/nozzle3d/definitions.mk
new file mode 100644
index 0000000..840f62d
--- /dev/null
+++ b/examples/turbulence/nozzle3d/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
+# <http://www.openlb.net/>
+#
+# 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 := nozzle3d.cpp
+OUTPUT := nozzle3d
diff --git a/examples/turbulence/nozzle3d/module.mk b/examples/turbulence/nozzle3d/module.mk
new file mode 100644
index 0000000..1190482
--- /dev/null
+++ b/examples/turbulence/nozzle3d/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
+# <http://www.openlb.net/>
+#
+# 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/turbulence/nozzle3d/nozzle3d.cpp b/examples/turbulence/nozzle3d/nozzle3d.cpp
new file mode 100644
index 0000000..c736f78
--- /dev/null
+++ b/examples/turbulence/nozzle3d/nozzle3d.cpp
@@ -0,0 +1,382 @@
+/* Lattice Boltzmann sample, written in C++, using the OpenLB
+ * library
+ *
+ * Copyright (C) 2015 Mathias J. Krause, Patrick Nathan
+ * E-mail contact: info@openlb.net
+ * The most recent release of OpenLB can be downloaded at
+ * <http://www.openlb.net/>
+ *
+ * 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.
+ */
+
+/* nozzle3d.cpp:
+ * This example examines a turbulent flow in a nozzle injection tube. At the
+ * main inlet, either a block profile or a power 1/7 profile is imposed as a
+ * Dirchlet velocity boundary condition, whereas at the outlet a
+ * Dirichlet pressure condition is set by p=0 (i.e. rho=1).
+ *
+ * The example shows the usage of turbulent models.
+ *
+ * The results of a simular simulation setup are publish in TODO
+ */
+
+#include "olb3D.h"
+#ifndef OLB_PRECOMPILED // Unless precompiled version is used
+#include "olb3D.hh" // Include full template code
+#endif
+#include <vector>
+#include <cmath>
+#include <iostream>
+#include <fstream>
+
+using namespace olb;
+using namespace olb::descriptors;
+using namespace olb::graphics;
+using namespace olb::util;
+using namespace std;
+
+typedef double T;
+
+// Choose your turbulent model of choice
+//#define RLB
+#define Smagorinsky //default
+//#define ConsitentStrainSmagorinsky
+//#define ShearSmagorinsky
+//#define Krause
+
+#ifdef ShearSmagorinsky
+#define DESCRIPTOR ShearSmagorinskyD3Q19Descriptor
+#else
+#define DESCRIPTOR D3Q19<>
+#endif
+
+// Parameters for the simulation setup
+const int N = 3; // resolution of the model, for RLB N>=5, others N>=2, but N>=5 recommended
+const int M = 1; // time discretization refinement
+const int inflowProfileMode = 0; // block profile (mode=0), power profile (mode=1)
+const T maxPhysT = 200.; // max. simulation time in s, SI unit
+
+template <typename T, typename _DESCRIPTOR>
+class TurbulentVelocity3D : public AnalyticalF3D<T,T> {
+
+protected:
+ // block profile (mode=0), power profile (mode=1)
+ int _mode;
+ T rho;
+ T nu;
+ T u0;
+ T p0;
+ T charL;
+ T dx;
+
+public:
+ TurbulentVelocity3D( UnitConverter<T,_DESCRIPTOR> const& converter, int mode=0 ) : AnalyticalF3D<T,T>( 3 ) {
+ _mode = mode;
+ u0 = converter.getCharLatticeVelocity();
+ rho = converter.getPhysDensity();
+ nu = converter.getPhysViscosity();
+ charL = converter.getCharPhysLength();
+ p0 = converter.getCharPhysPressure();
+ dx = converter.getConversionFactorLength();
+
+ this->getName() = "turbulentVelocity3d";
+ };
+
+ bool operator()( T output[], const S input[] ) override {
+ T y = input[1];
+ T z = input[2];
+ // block profile inititalization
+ T u_calc = u0;
+ // power profile inititalization
+ if ( _mode==1 ) {
+ T obst_y = 5.5+dx;
+ T obst_z = 5.5+dx;
+ T obst_r = 0.5;
+
+ T B = 5.5;
+ T kappa = 0.4;
+ T ReTau = 183.6;
+
+ u_calc = u0/7.*( 2.*nu*ReTau/( charL*kappa )*log( fabs( 2.*ReTau/charL*( obst_r - sqrt( pow( y - obst_y, 2. )
+ + pow( z - obst_z, 2. ) ) )*1.5*( 1 + sqrt( pow( y - obst_y, 2. )
+ + pow( z - obst_z, 2. ) )/obst_r )/( 1 + 2.*pow( sqrt( pow( y - obst_y, 2. )
+ + pow( z - obst_z, 2. ) )/obst_r, 2. ) ) ) + B ) );
+ }
+ T a = -1., b = 1.;
+ T nRandom = rand()/( T )RAND_MAX*( b-a ) + a;
+
+ output[0] = u_calc+ 0.15*u0*nRandom;
+ output[1] = 0.15*u0*nRandom;
+ output[2] = 0.15*u0*nRandom;
+ return true;
+ };
+};
+
+
+void prepareGeometry( UnitConverter<T,DESCRIPTOR> const& converter, IndicatorF3D<T>& indicator, SuperGeometry3D<T>& superGeometry ) {
+
+ OstreamManager clout( std::cout,"prepareGeometry" );
+ clout << "Prepare Geometry ..." << std::endl;
+
+ // Sets material number for fluid and boundary
+ superGeometry.rename( 0,2,indicator );
+
+ Vector<T,3> origin( T(),
+ 5.5*converter.getCharPhysLength()+converter.getConversionFactorLength(),
+ 5.5*converter.getCharPhysLength()+converter.getConversionFactorLength() );
+
+ Vector<T,3> extend( 4.*converter.getCharPhysLength()+5*converter.getConversionFactorLength(),
+ 5.5*converter.getCharPhysLength()+converter.getConversionFactorLength(),
+ 5.5*converter.getCharPhysLength()+converter.getConversionFactorLength() );
+
+ IndicatorCylinder3D<T> inletCylinder( extend, origin, converter.getCharPhysLength() );
+ superGeometry.rename( 2,1,inletCylinder );
+
+
+ origin[0]=4.*converter.getCharPhysLength();
+ origin[1]=5.5*converter.getCharPhysLength()+converter.getConversionFactorLength();
+ origin[2]=5.5*converter.getCharPhysLength()+converter.getConversionFactorLength();
+
+ extend[0]=54.*converter.getCharPhysLength();
+ extend[1]=5.5*converter.getCharPhysLength()+converter.getConversionFactorLength();
+ extend[2]=5.5*converter.getCharPhysLength()+converter.getConversionFactorLength();
+
+ IndicatorCylinder3D<T> injectionTube( extend, origin, 5.5*converter.getCharPhysLength() );
+ superGeometry.rename( 2,1,injectionTube );
+
+ origin[0]=converter.getConversionFactorLength();
+ origin[1]=5.5*converter.getCharPhysLength()+converter.getConversionFactorLength();
+ origin[2]=5.5*converter.getCharPhysLength()+converter.getConversionFactorLength();
+
+ extend[0]=T();
+ extend[1]=5.5*converter.getCharPhysLength()+converter.getConversionFactorLength();
+ extend[2]=5.5*converter.getCharPhysLength()+converter.getConversionFactorLength();
+
+ IndicatorCylinder3D<T> cylinderIN( extend, origin, converter.getCharPhysLength() );
+ superGeometry.rename( 1,3,cylinderIN );
+
+
+ origin[0]=54.*converter.getCharPhysLength()-converter.getConversionFactorLength();
+ origin[1]=5.5*converter.getCharPhysLength()+converter.getConversionFactorLength();
+ origin[2]=5.5*converter.getCharPhysLength()+converter.getConversionFactorLength();
+
+ extend[0]=54.*converter.getCharPhysLength();
+ extend[1]=5.5*converter.getCharPhysLength()+converter.getConversionFactorLength();
+ extend[2]=5.5*converter.getCharPhysLength()+converter.getConversionFactorLength();
+
+ IndicatorCylinder3D<T> cylinderOUT( extend, origin, 5.5*converter.getCharPhysLength() );
+ superGeometry.rename( 1,4,cylinderOUT );
+
+ // 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;
+}
+
+void prepareLattice( SuperLattice3D<T,DESCRIPTOR>& sLattice,
+ UnitConverter<T,DESCRIPTOR> const& converter,
+ Dynamics<T, DESCRIPTOR>& bulkDynamics,
+ sOnLatticeBoundaryCondition3D<T,DESCRIPTOR>& bc,
+ sOffLatticeBoundaryCondition3D<T,DESCRIPTOR>& offBc,
+ SuperGeometry3D<T>& 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<T, DESCRIPTOR>() );
+
+ // Material=1 -->bulk dynamics
+ // Material=3 -->bulk dynamics (inflow)
+ // Material=4 -->bulk dynamics (outflow)
+ sLattice.defineDynamics( superGeometry.getMaterialIndicator({1, 3, 4}), &bulkDynamics );
+
+ // Material=2 -->bounce back
+ sLattice.defineDynamics( superGeometry, 2, &instances::getBounceBack<T, DESCRIPTOR>() );
+
+ bc.addVelocityBoundary( superGeometry, 3, omega );
+ bc.addPressureBoundary( superGeometry, 4, omega );
+
+ clout << "Prepare Lattice ... OK" << std::endl;
+}
+
+void setBoundaryValues( UnitConverter<T,DESCRIPTOR> const&converter,
+ SuperLattice3D<T,DESCRIPTOR>& lattice, SuperGeometry3D<T>& superGeometry, int iT ) {
+
+ OstreamManager clout( std::cout,"setBoundaryValues" );
+
+ if ( iT==0 ) {
+ AnalyticalConst3D<T,T> rhoF( 1 );
+ std::vector<T> velocity( 3,T() );
+ AnalyticalConst3D<T,T> uF( velocity );
+
+ // Seeding of random fluctuations and definition of the velocity field
+ srand( time( nullptr ) );
+ TurbulentVelocity3D<T,DESCRIPTOR> uSol( converter, inflowProfileMode );
+
+ lattice.iniEquilibrium( superGeometry.getMaterialIndicator({1, 2, 4}), rhoF, uF );
+ lattice.iniEquilibrium( superGeometry, 3, rhoF, uSol );
+
+ lattice.defineU( superGeometry, 3, uSol );
+ lattice.defineRho( superGeometry, 4, rhoF );
+
+ // Make the lattice ready for simulation
+ lattice.initialize();
+ }
+}
+
+void getResults( SuperLattice3D<T, DESCRIPTOR>& sLattice,
+ UnitConverter<T,DESCRIPTOR> const& converter, int iT,
+ SuperGeometry3D<T>& superGeometry, Timer<T>& timer ) {
+
+ OstreamManager clout( std::cout,"getResults" );
+ SuperVTMwriter3D<T> vtmWriter( "nozzle3d" );
+
+ if ( iT==0 ) {
+ // Writes the geometry, cuboid no. and rank no. as vti file for visualization
+ SuperLatticeGeometry3D<T, DESCRIPTOR> geometry( sLattice, superGeometry );
+ SuperLatticeCuboid3D<T, DESCRIPTOR> cuboid( sLattice );
+ SuperLatticeRank3D<T, DESCRIPTOR> rank( sLattice );
+ vtmWriter.write( geometry );
+ vtmWriter.write( cuboid );
+ vtmWriter.write( rank );
+ vtmWriter.createMasterFile();
+ }
+
+ // Writes the vtk files
+ if ( iT%converter.getLatticeTime( maxPhysT/100. )==0 ) {
+ // Create the data-reading functors...
+ SuperLatticePhysVelocity3D<T, DESCRIPTOR> velocity( sLattice, converter );
+ SuperLatticePhysPressure3D<T, DESCRIPTOR> pressure( sLattice, converter );
+ vtmWriter.addFunctor( velocity );
+ vtmWriter.addFunctor( pressure );
+ vtmWriter.write( iT );
+
+ SuperEuklidNorm3D<T, DESCRIPTOR> normVel( velocity );
+ BlockReduction3D2D<T> planeReduction( normVel, {0, 1, 0} );
+ // write output as JPEG
+ heatmap::write(planeReduction, iT);
+ }
+
+ // Writes output on the console
+ if ( iT%converter.getLatticeTime( maxPhysT/200. )==0 ) {
+ timer.update( iT );
+ timer.printStep();
+ sLattice.getStatistics().print( iT, converter.getPhysTime( iT ) );
+ }
+}
+
+
+
+int main( int argc, char* argv[] ) {
+
+ // === 1st Step: Initialization ===
+
+ olbInit( &argc, &argv );
+ singleton::directories().setOutputDir( "./tmp/" );
+ OstreamManager clout( std::cout,"main" );
+ // display messages from every single mpi process
+ // clout.setMultiOutput(true);
+
+ UnitConverterFromResolutionAndRelaxationTime<T, DESCRIPTOR> const converter(
+ int {N}, // resolution: number of voxels per charPhysL
+ (T) 0.500018, // latticeRelaxationTime: relaxation time, have to be greater than 0.5!
+ (T) 1, // charPhysLength: reference length of simulation geometry
+ (T) 1, // charPhysVelocity: maximal/highest expected velocity during simulation in __m / s__
+ (T) 0.0002, // physViscosity: physical kinematic viscosity in __m^2 / s__
+ (T) 1.0 // 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("nozzle3d");
+
+ Vector<T,3> origin;
+ Vector<T,3> extend( 54.*converter.getCharPhysLength(), 11.*converter.getCharPhysLength()+2.*converter.getConversionFactorLength(), 11.*converter.getCharPhysLength()+2.*converter.getConversionFactorLength() );
+
+ IndicatorCuboid3D<T> cuboid( extend,origin );
+
+ CuboidGeometry3D<T> cuboidGeometry( cuboid, converter.getConversionFactorLength(), singleton::mpi().getSize() );
+ HeuristicLoadBalancer<T> loadBalancer( cuboidGeometry );
+
+ // === 2nd Step: Prepare Geometry ===
+
+ SuperGeometry3D<T> superGeometry( cuboidGeometry, loadBalancer, 2 );
+ prepareGeometry( converter, cuboid, superGeometry );
+
+ // === 3rd Step: Prepare Lattice ===
+
+ SuperLattice3D<T, DESCRIPTOR> sLattice( superGeometry );
+
+ Dynamics<T, DESCRIPTOR>* bulkDynamics;
+ const T omega = converter.getLatticeRelaxationFrequency();
+#if defined(RLB)
+ bulkDynamics = new RLBdynamics<T, DESCRIPTOR>( omega, instances::getBulkMomenta<T, DESCRIPTOR>() );
+#elif defined(Smagorinsky)
+ bulkDynamics = new SmagorinskyBGKdynamics<T, DESCRIPTOR>( omega, instances::getBulkMomenta<T, DESCRIPTOR>(),
+ 0.15);
+#elif defined(ShearSmagorinsky)
+ bulkDynamics = new ShearSmagorinskyBGKdynamics<T, DESCRIPTOR>( omega, instances::getBulkMomenta<T, DESCRIPTOR>(),
+ 0.15);
+#elif defined(Krause)
+ bulkDynamics = new KrauseBGKdynamics<T, DESCRIPTOR>( omega, instances::getBulkMomenta<T, DESCRIPTOR>(),
+ 0.15);
+#else //ConsitentStrainSmagorinsky
+ bulkDynamics = new ConStrainSmagorinskyBGKdynamics<T, DESCRIPTOR>( omega, instances::getBulkMomenta<T, DESCRIPTOR>(),
+ 0.05);
+#endif
+
+ sOnLatticeBoundaryCondition3D<T, DESCRIPTOR> sBoundaryCondition( sLattice );
+ createInterpBoundaryCondition3D<T, DESCRIPTOR> ( sBoundaryCondition );
+
+ sOffLatticeBoundaryCondition3D<T, DESCRIPTOR> sOffBoundaryCondition( sLattice );
+ createBouzidiBoundaryCondition3D<T, DESCRIPTOR> ( sOffBoundaryCondition );
+
+ prepareLattice( sLattice, converter, *bulkDynamics, sBoundaryCondition, sOffBoundaryCondition, superGeometry );
+
+ // === 4th Step: Main Loop with Timer ===
+
+ Timer<T> timer( converter.getLatticeTime( maxPhysT ), superGeometry.getStatistics().getNvoxel() );
+ timer.start();
+
+ for ( int iT = 0; iT <= converter.getLatticeTime( maxPhysT ); ++iT ) {
+ // === 5ath Step: Apply filter
+#ifdef ADM
+ SuperLatticeADM3D<T, DESCRIPTOR> admF( sLattice, 0.01, 2 );
+ admF.execute( superGeometry, 1 );
+#endif
+ // === 5bth Step: Definition of Initial and Boundary Conditions ===
+ setBoundaryValues( converter, sLattice, superGeometry, iT );
+
+ // === 6th Step: Collide and Stream Execution ===
+ sLattice.collideAndStream();
+
+ // === 7th Step: Computation and Output of the Results ===
+ getResults( sLattice, converter, iT, superGeometry, timer );
+ }
+ timer.stop();
+ timer.printSummary();
+ delete bulkDynamics;
+}