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/multiComponent/microFluidics2d/Makefile   | 105 +++++
 .../multiComponent/microFluidics2d/definitions.mk  |  30 ++
 .../microFluidics2d/microFluidics2d.cpp            | 456 +++++++++++++++++++++
 examples/multiComponent/microFluidics2d/module.mk  |  29 ++
 4 files changed, 620 insertions(+)
 create mode 100644 examples/multiComponent/microFluidics2d/Makefile
 create mode 100644 examples/multiComponent/microFluidics2d/definitions.mk
 create mode 100644 examples/multiComponent/microFluidics2d/microFluidics2d.cpp
 create mode 100644 examples/multiComponent/microFluidics2d/module.mk
(limited to 'examples/multiComponent/microFluidics2d')
diff --git a/examples/multiComponent/microFluidics2d/Makefile b/examples/multiComponent/microFluidics2d/Makefile
new file mode 100644
index 0000000..a953954
--- /dev/null
+++ b/examples/multiComponent/microFluidics2d/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/multiComponent/microFluidics2d/definitions.mk b/examples/multiComponent/microFluidics2d/definitions.mk
new file mode 100644
index 0000000..43100e0
--- /dev/null
+++ b/examples/multiComponent/microFluidics2d/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             := microFluidics2d.cpp
+OUTPUT          := microFluidics2d
diff --git a/examples/multiComponent/microFluidics2d/microFluidics2d.cpp b/examples/multiComponent/microFluidics2d/microFluidics2d.cpp
new file mode 100644
index 0000000..7ebf883
--- /dev/null
+++ b/examples/multiComponent/microFluidics2d/microFluidics2d.cpp
@@ -0,0 +1,456 @@
+/*  Lattice Boltzmann sample, written in C++, using the OpenLB
+ *  library
+ *
+ *  Copyright (C) 2019 Sam Avis
+ *  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.
+ */
+
+/*  microfluidics2d.cpp:
+ *  This example shows a microfluidic channel creating droplets of
+ *  two fluid components. Poiseuille velocity profiles are imposed
+ *  at the various channel inlets, while a constant density outlet
+ *  is imposed at the end of the channel to allow the droplets to
+ *  exit the simulation.
+ *
+ *  This example demonstrates the use of three fluid components
+ *  with the free energy model. It also shows the use of open
+ *  boundary conditions, specifically velocity inlet and density
+ *  outlet boundaries.
+ */
+
+#include "olb2D.h"
+#include "olb2D.hh"   // use only generic version!
+#include 
+#include 
+#include 
+
+using namespace olb;
+using namespace olb::descriptors;
+using namespace olb::graphics;
+using namespace std;
+
+typedef double T;
+#define DESCRIPTOR D2Q9
+
+// Parameters for the simulation setup
+const int N  = 100;
+const T nx   = 800.;
+const T ny   = 100.;
+const T dx = ny / N;
+
+const T inSize = 175.;
+const T xl1 = inSize * 2./7.;
+const T yl1 = ny / 4.;
+const T xl2 = inSize / 7.;
+const T yl2 = ny;
+const T xl3 = inSize * 3./7.;
+const T yl3 = ny / 4.;
+const T xl4 = inSize / 7.;
+const T yl4 = ny;
+const T xl5 = nx - inSize;
+const T yl5 = ny / 2.;
+
+const T inlet1Velocity = 0.00056; // [lattice units]
+const T inlet2Velocity = 0.00055; // [lattice units]
+const T inlet3Velocity = 0.0014;  // [lattice units]
+const T outletDensity = 1.;       // [lattice units]
+const T alpha = 1.;               // Interfacial width          [lattice units]
+const T kappa1 = 0.0132;          // For surface tensions       [lattice units]
+const T kappa2 = 0.0012;          // For surface tensions       [lattice units]
+const T kappa3 = 0.0013;          // For surface tensions       [lattice units]
+const T gama = 1.;                // For mobility of interfaces [lattice units]
+const T h1 = 0.;                  // Contact angle 90 degrees   [lattice units]
+const T h2 = 0.;                  // Contact angle 90 degrees   [lattice units]
+const T h3 = 0.;                  // Contact angle 90 degrees   [lattice units]
+
+const int maxIter  = 1000000;
+const int vtkIter  = 1000;
+const int statIter = 2000;
+
+
+void prepareGeometry( SuperGeometry2D& superGeometry ) {
+  OstreamManager clout( std::cout,"prepareGeometry" );
+  clout << "Prepare Geometry ..." << std::endl;
+
+  std::shared_ptr> section1 = std::make_shared>( xl1, yl1, std::vector{xl1/2., ny/2.} );
+  std::shared_ptr> section2 = std::make_shared>( xl2, yl2, std::vector{xl1 + xl2/2., ny/2.} );
+  std::shared_ptr> section3 = std::make_shared>( xl3, yl3, std::vector{xl1 + xl2 + xl3/2., ny/2.} );
+  std::shared_ptr> section4 = std::make_shared>( xl4, yl4, std::vector{xl1 + xl2 + xl3 + xl4/2., ny/2.} );
+  std::shared_ptr> section5 = std::make_shared>( xl5, yl5, std::vector{xl1 + xl2 + xl3 + xl4 + xl5/2., ny/2.} );
+  IndicatorIdentity2D channel( section1 + section2 + section3 + section4 + section5 );
+
+  superGeometry.rename( 0, 2, channel );
+  superGeometry.rename( 2,1,1,1 );
+
+  // Inlets and outlet
+  IndicatorCuboid2D inlet1 ( dx, yl1, {0., ny/2.} );
+  IndicatorCuboid2D inlet21( xl2 - dx, dx, {xl1 + xl2/2., 0.} );
+  IndicatorCuboid2D inlet22( xl2 - dx, dx, {xl1 + xl2/2., ny} );
+  IndicatorCuboid2D inlet31( xl4 - dx, dx, {xl1 + xl2 + xl3 + xl4/2., 0.} );
+  IndicatorCuboid2D inlet32( xl4 - dx, dx, {xl1 + xl2 + xl3 + xl4/2., ny} );
+  IndicatorCuboid2D outlet( dx, yl5, {nx, ny/2.} );
+  superGeometry.rename( 2, 3, 1, inlet1 );
+  superGeometry.rename( 2, 4, 1, inlet21 );
+  superGeometry.rename( 2, 5, 1, inlet22 );
+  superGeometry.rename( 2, 6, 1, inlet31 );
+  superGeometry.rename( 2, 7, 1, inlet32 );
+  superGeometry.rename( 2, 8, 1, outlet );
+
+  superGeometry.innerClean();
+  superGeometry.checkForErrors();
+  superGeometry.print();
+
+  clout << "Prepare Geometry ... OK" << std::endl;
+}
+
+
+void prepareLattice( SuperLattice2D& sLattice1,
+                     SuperLattice2D& sLattice2,
+                     SuperLattice2D& sLattice3,
+                     Dynamics& bulkDynamics1,
+                     Dynamics& bulkDynamics2,
+                     Dynamics& bulkDynamics3,
+                     sOnLatticeBoundaryCondition2D& sOnBC1,
+                     sOnLatticeBoundaryCondition2D& sOnBC2,
+                     sOnLatticeBoundaryCondition2D& sOnBC3,
+                     UnitConverter& converter,
+                     SuperGeometry2D& superGeometry ) {
+
+  OstreamManager clout( std::cout,"prepareLattice" );
+  clout << "Prepare Lattice ..." << std::endl;
+ 
+  // define lattice dynamics
+  sLattice1.defineDynamics( superGeometry, 0, &instances::getNoDynamics() );
+  sLattice2.defineDynamics( superGeometry, 0, &instances::getNoDynamics() );
+  sLattice3.defineDynamics( superGeometry, 0, &instances::getNoDynamics() );
+
+  sLattice1.defineDynamics( superGeometry, 1, &bulkDynamics1 );
+  sLattice2.defineDynamics( superGeometry, 1, &bulkDynamics2 );
+  sLattice3.defineDynamics( superGeometry, 1, &bulkDynamics3 );
+
+  sLattice1.defineDynamics( superGeometry, 2, &instances::getNoDynamics() );
+  sLattice2.defineDynamics( superGeometry, 2, &instances::getNoDynamics() );
+  sLattice3.defineDynamics( superGeometry, 2, &instances::getNoDynamics() );
+
+  sLattice1.defineDynamics( superGeometry, 3, &instances::getNoDynamics() );
+  sLattice2.defineDynamics( superGeometry, 3, &instances::getNoDynamics() );
+  sLattice3.defineDynamics( superGeometry, 3, &instances::getNoDynamics() );
+
+  sLattice1.defineDynamics( superGeometry, 4, &instances::getNoDynamics() );
+  sLattice2.defineDynamics( superGeometry, 4, &instances::getNoDynamics() );
+  sLattice3.defineDynamics( superGeometry, 4, &instances::getNoDynamics() );
+
+  sLattice1.defineDynamics( superGeometry, 5, &instances::getNoDynamics() );
+  sLattice2.defineDynamics( superGeometry, 5, &instances::getNoDynamics() );
+  sLattice3.defineDynamics( superGeometry, 5, &instances::getNoDynamics() );
+
+  sLattice1.defineDynamics( superGeometry, 6, &instances::getNoDynamics() );
+  sLattice2.defineDynamics( superGeometry, 6, &instances::getNoDynamics() );
+  sLattice3.defineDynamics( superGeometry, 6, &instances::getNoDynamics() );
+
+  sLattice1.defineDynamics( superGeometry, 7, &instances::getNoDynamics() );
+  sLattice2.defineDynamics( superGeometry, 7, &instances::getNoDynamics() );
+  sLattice3.defineDynamics( superGeometry, 7, &instances::getNoDynamics() );
+
+  sLattice1.defineDynamics( superGeometry, 8, &instances::getNoDynamics() );
+  sLattice2.defineDynamics( superGeometry, 8, &instances::getNoDynamics() );
+  sLattice3.defineDynamics( superGeometry, 8, &instances::getNoDynamics() );
+
+  // add wall boundary
+  sOnBC1.addFreeEnergyWallBoundary( superGeometry, 2, alpha, kappa1, kappa2, kappa3, h1, h2, h3, 1 );
+  sOnBC2.addFreeEnergyWallBoundary( superGeometry, 2, alpha, kappa1, kappa2, kappa3, h1, h2, h3, 2 );
+  sOnBC3.addFreeEnergyWallBoundary( superGeometry, 2, alpha, kappa1, kappa2, kappa3, h1, h2, h3, 3 );
+
+  // add inlet boundaries
+  T omega = converter.getLatticeRelaxationFrequency();
+  auto inlet1Indicator = superGeometry.getMaterialIndicator(3);
+  sOnBC1.addFreeEnergyInletBoundary( inlet1Indicator, omega, "velocity", 1 );
+  sOnBC2.addFreeEnergyInletBoundary( inlet1Indicator, omega, "velocity", 2 );
+  sOnBC3.addFreeEnergyInletBoundary( inlet1Indicator, omega, "velocity", 3 );
+
+  auto inlet2Indicator = superGeometry.getMaterialIndicator({4, 5});
+  sOnBC1.addFreeEnergyInletBoundary( inlet2Indicator, omega, "velocity", 1 );
+  sOnBC2.addFreeEnergyInletBoundary( inlet2Indicator, omega, "velocity", 2 );
+  sOnBC3.addFreeEnergyInletBoundary( inlet2Indicator, omega, "velocity", 3 );
+
+  auto inlet3Indicator = superGeometry.getMaterialIndicator({6, 7});
+  sOnBC1.addFreeEnergyInletBoundary( inlet3Indicator, omega, "velocity", 1 );
+  sOnBC2.addFreeEnergyInletBoundary( inlet3Indicator, omega, "velocity", 2 );
+  sOnBC3.addFreeEnergyInletBoundary( inlet3Indicator, omega, "velocity", 3 );
+
+  // add outlet boundary
+  auto outletIndicator = superGeometry.getMaterialIndicator(8);
+  sOnBC1.addFreeEnergyOutletBoundary( outletIndicator, omega, "density", 1 );
+  sOnBC2.addFreeEnergyOutletBoundary( outletIndicator, omega, "density", 2 );
+  sOnBC3.addFreeEnergyOutletBoundary( outletIndicator, omega, "density", 3 );
+
+  // bulk initial conditions
+  std::vector v( 2,T() );
+  AnalyticalConst2D zeroVelocity( v );
+
+  AnalyticalConst2D zero ( 0. );
+  AnalyticalConst2D one ( 1. );
+  SmoothIndicatorCuboid2D section1( {xl1/2., ny/2.}, xl1+dx, ny, 0. );
+  SmoothIndicatorCuboid2D section2( {xl1 + (xl2 + xl3)/2., ny/2.}, xl2 + xl3, ny, 0. );
+
+  AnalyticalIdentity2D c1( section1 );
+  AnalyticalIdentity2D c2( section2 );
+  AnalyticalIdentity2D rho( one );
+  AnalyticalIdentity2D phi( c1 - c2 );
+  AnalyticalIdentity2D psi( rho - c1 - c2 );
+
+  auto allIndicator = superGeometry.getMaterialIndicator({1, 2, 3, 4, 5, 6});
+  sLattice1.iniEquilibrium( allIndicator, rho, zeroVelocity );
+  sLattice2.iniEquilibrium( allIndicator, phi, zeroVelocity );
+  sLattice3.iniEquilibrium( allIndicator, psi, zeroVelocity );
+
+  // inlet boundary conditions
+  Poiseuille2D inlet1U( superGeometry, 3, 1.5*inlet1Velocity, 0. );
+  sLattice1.defineU( inlet1Indicator, inlet1U );
+  sLattice2.defineRho( inlet1Indicator, phi );
+  sLattice3.defineRho( inlet1Indicator, psi );
+
+  Poiseuille2D inlet21U( superGeometry, 4, 1.5*inlet2Velocity, 0. );
+  Poiseuille2D inlet22U( superGeometry, 5, 1.5*inlet2Velocity, 0. );
+  sLattice1.defineU( superGeometry, 4, inlet21U );
+  sLattice1.defineU( superGeometry, 5, inlet22U );
+  sLattice2.defineRho( inlet2Indicator, phi );
+  sLattice3.defineRho( inlet2Indicator, psi );
+
+  Poiseuille2D inlet31U( superGeometry, 6, 1.5*inlet3Velocity, 0. );
+  Poiseuille2D inlet32U( superGeometry, 7, 1.5*inlet3Velocity, 0. );
+  sLattice1.defineU( superGeometry, 6, inlet31U );
+  sLattice1.defineU( superGeometry, 7, inlet32U );
+  sLattice2.defineRho( inlet3Indicator, phi );
+  sLattice3.defineRho( inlet3Indicator, psi );
+
+  // outlet initial / boundary conditions
+  AnalyticalConst2D rhoOutlet( outletDensity );
+  AnalyticalIdentity2D phiOutlet( zero );
+  AnalyticalIdentity2D psiOutlet( rhoOutlet );
+  sLattice1.defineRho( outletIndicator, rhoOutlet );
+  sLattice2.defineRho( outletIndicator, phiOutlet );
+  sLattice3.defineRho( outletIndicator, psiOutlet );
+
+  // initialise lattices
+  sLattice1.initialize();
+  sLattice2.initialize();
+  sLattice3.initialize();
+
+  sLattice1.communicate();
+  sLattice2.communicate();
+  sLattice3.communicate();
+
+  clout << "Prepare Lattice ... OK" << std::endl;
+}
+
+
+void prepareCoupling(SuperLattice2D& sLattice1,
+                     SuperLattice2D& sLattice2,
+                     SuperLattice2D& sLattice3,
+                     SuperGeometry2D& superGeometry) {
+  OstreamManager clout( std::cout,"prepareCoupling" );
+  clout << "Add lattice coupling" << endl;
+
+  // Bulk couplings
+  FreeEnergyChemicalPotentialGenerator2D coupling2( alpha, kappa1, kappa2, kappa3 );
+  FreeEnergyForceGenerator2D coupling3;
+
+  // Inlet / outlet couplings
+  FreeEnergyDensityOutletGenerator2D coupling1( outletDensity );
+  FreeEnergyInletOutletGenerator2D coupling4;
+
+  // The DensityOutlet coupling must be added to the first lattice and come before the ChemicalPotential coupling
+  // The InletOutlet couplings must be added to the second lattice and come after the Force coupling.
+  sLattice1.addLatticeCoupling( superGeometry, 8, coupling1, {&sLattice2, &sLattice3} );
+
+  sLattice1.addLatticeCoupling( superGeometry, 1, coupling2, {&sLattice2, &sLattice3} );
+  sLattice2.addLatticeCoupling( superGeometry, 1, coupling3, {&sLattice1, &sLattice3} );
+
+  sLattice2.addLatticeCoupling( superGeometry, 3, coupling4, {&sLattice1, &sLattice3} );
+  sLattice2.addLatticeCoupling( superGeometry, 4, coupling4, {&sLattice1, &sLattice3} );
+  sLattice2.addLatticeCoupling( superGeometry, 5, coupling4, {&sLattice1, &sLattice3} );
+  sLattice2.addLatticeCoupling( superGeometry, 6, coupling4, {&sLattice1, &sLattice3} );
+  sLattice2.addLatticeCoupling( superGeometry, 7, coupling4, {&sLattice1, &sLattice3} );
+  sLattice2.addLatticeCoupling( superGeometry, 8, coupling4, {&sLattice1, &sLattice3} );
+
+  clout << "Add lattice coupling ... OK!" << endl;
+}
+
+
+void getResults( SuperLattice2D& sLattice1,
+                 SuperLattice2D& sLattice2,
+                 SuperLattice2D& sLattice3, int iT,
+                 SuperGeometry2D& superGeometry, Timer& timer,
+                 UnitConverter converter) {
+
+  OstreamManager clout( std::cout,"getResults" );
+  SuperVTMwriter2D vtmWriter( "microFluidics2d" );
+
+  if ( iT==0 ) {
+    // Writes the geometry, cuboid no. and rank no. as vti file for visualization
+    SuperLatticeGeometry2D geometry( sLattice1, superGeometry );
+    SuperLatticeCuboid2D cuboid( sLattice1 );
+    SuperLatticeRank2D rank( sLattice1 );
+    vtmWriter.write( geometry );
+    vtmWriter.write( cuboid );
+    vtmWriter.write( rank );
+    vtmWriter.createMasterFile();
+  }
+
+  // Get statistics
+  if ( iT%statIter==0 ) {
+    // Timer console output
+    timer.update( iT );
+    timer.printStep();
+    sLattice1.getStatistics().print( iT, converter.getPhysTime(iT) );
+    sLattice2.getStatistics().print( iT, converter.getPhysTime(iT) );
+    sLattice3.getStatistics().print( iT, converter.getPhysTime(iT) );
+  }
+
+  // Writes the VTK files
+  if ( iT%vtkIter==0 ) {
+    SuperLatticeVelocity2D velocity( sLattice1 );
+    SuperLatticeDensity2D density1( sLattice1 );
+    density1.getName() = "rho";
+    SuperLatticeDensity2D density2( sLattice2 );
+    density2.getName() = "phi";
+    SuperLatticeDensity2D density3( sLattice3 );
+    density3.getName() = "density-fluid-3";
+    
+    AnalyticalConst2D half_( 0.5 );
+    SuperLatticeFfromAnalyticalF2D half(half_, sLattice1);
+
+    SuperIdentity2D c1 (half*(density1+density2-density3));
+    c1.getName() = "density-fluid-1";
+    SuperIdentity2D c2 (half*(density1-density2-density3));
+    c2.getName() = "density-fluid-2";
+
+    vtmWriter.addFunctor( velocity );
+    vtmWriter.addFunctor( density1 );
+    vtmWriter.addFunctor( density2 );
+    vtmWriter.addFunctor( density3 );
+    vtmWriter.addFunctor( c1 );
+    vtmWriter.addFunctor( c2 );
+    vtmWriter.write( iT );
+  }
+}
+
+
+int main( int argc, char *argv[] ) {
+
+  // === 1st Step: Initialization ===
+
+  olbInit( &argc, &argv );
+  singleton::directories().setOutputDir( "./tmp/" );
+  OstreamManager clout( std::cout,"main" );
+
+  UnitConverterFromResolutionAndRelaxationTime converter(
+    (T)   N, // resolution
+    (T)   1., // lattice relaxation time (tau)
+    (T)   ny, // charPhysLength: reference length of simulation geometry
+    (T)   1.e-6, // charPhysVelocity: maximal/highest expected velocity during simulation in __m / s__
+    (T)   0.1, // physViscosity: physical kinematic viscosity in __m^2 / s__
+    (T)   1. // physDensity: physical density in __kg / m^3__
+  );
+
+  // Prints the converter log as console output
+  converter.print();
+
+  // === 2nd Step: Prepare Geometry ===
+  std::vector extend = { nx, ny };
+  std::vector origin = { 0, 0 };
+  IndicatorCuboid2D cuboid(extend,origin);
+#ifdef PARALLEL_MODE_MPI
+  CuboidGeometry2D cGeometry( cuboid, converter.getPhysDeltaX(), singleton::mpi().getSize() );
+#else
+  CuboidGeometry2D cGeometry( cuboid, converter.getPhysDeltaX() );
+#endif
+
+  // Instantiation of loadbalancer
+  HeuristicLoadBalancer loadBalancer( cGeometry );
+  loadBalancer.print();
+
+  // Instantiation of superGeometry
+  SuperGeometry2D superGeometry( cGeometry,loadBalancer );
+
+  prepareGeometry( superGeometry );
+
+  // === 3rd Step: Prepare Lattice ===
+  SuperLattice2D sLattice1( superGeometry );
+  SuperLattice2D sLattice2( superGeometry );
+  SuperLattice2D sLattice3( superGeometry );
+
+  ForcedBGKdynamics bulkDynamics1 (
+    converter.getLatticeRelaxationFrequency(),
+    instances::getBulkMomenta() );
+
+  FreeEnergyBGKdynamics bulkDynamics23 (
+    converter.getLatticeRelaxationFrequency(), gama,
+    instances::getBulkMomenta() );
+
+  sOnLatticeBoundaryCondition2D sOnBC1( sLattice1 );
+  sOnLatticeBoundaryCondition2D sOnBC2( sLattice2 );
+  sOnLatticeBoundaryCondition2D sOnBC3( sLattice3 );
+  createLocalBoundaryCondition2D (sOnBC1);
+  createLocalBoundaryCondition2D (sOnBC2);
+  createLocalBoundaryCondition2D (sOnBC3);
+
+  prepareLattice( sLattice1, sLattice2, sLattice3, bulkDynamics1, bulkDynamics23,
+                  bulkDynamics23, sOnBC1, sOnBC2, sOnBC3, converter, superGeometry );
+
+  prepareCoupling( sLattice1, sLattice2, sLattice3, superGeometry );
+
+  SuperExternal2D sExternal1 (superGeometry, sLattice1, sLattice1.getOverlap() );
+  SuperExternal2D sExternal2 (superGeometry, sLattice2, sLattice2.getOverlap() );
+  SuperExternal2D sExternal3 (superGeometry, sLattice3, sLattice3.getOverlap() );
+
+  // === 4th Step: Main Loop with Timer ===
+  int iT = 0;
+  clout << "starting simulation..." << endl;
+  Timer timer( maxIter, superGeometry.getStatistics().getNvoxel() );
+  timer.start();
+  
+  for ( iT=0; iT
+#
+#  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))))
-- 
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