Revamp parametrization of refined cylinder2d geometry

Finally seems to stop mixing up material numbers for every other resolution I try it out with.
Cylinder diameter is now actually set to 0.1m as called for by [SchaeferTurek96].

1 files changed, 93 insertions, 85 deletions

diff --git a/apps/adrian/cylinder2d/cylinder2d.cpp b/apps/adrian/cylinder2d/cylinder2d.cpp
index c853939..066bb6f 100644
--- a/apps/adrian/cylinder2d/cylinder2d.cpp
+++ b/apps/adrian/cylinder2d/cylinder2d.cpp
@@ -37,17 +37,25 @@ typedef double T;
 #define DESCRIPTOR descriptors::D2Q9Descriptor
 
 /// Setup geometry relative to cylinder diameter as defined by [SchaeferTurek96]
-const T cylinderD = 1.0;
-
-const int N = 5;               // resolution of the model
-const T lx  = 22  * cylinderD; // length of the channel
-const T ly  = 4.1 * cylinderD; // height of the channel
-const T Re  = 100.;            // Reynolds number
-const T uLat = 0.05;           // lattice velocity
-const T maxPhysT = 60.;        // max. simulation time in s, SI unit
-
-
-void prepareGeometry(Grid2D<T,DESCRIPTOR>& grid)
+const T   cylinderD = 0.1;
+const int N         = 5;                      // resolution of the cylinder
+const T   deltaR    = cylinderD / N;          // coarse lattice spacing
+const T   lx        = 22*cylinderD + deltaR;  // length of the channel
+const T   ly        = 4.1*cylinderD + deltaR; // height of the channel
+const T   cylinderX = 2*cylinderD;
+const T   cylinderY = 2*cylinderD + deltaR/2;
+
+const T   Re        = 20.;                    // Reynolds number
+const T   tau       = 0.51;                   // relaxation time
+const T   maxPhysT  = 16.;                    // max. simulation time in s, SI unit
+
+const Characteristics<T> PhysCharacteristics(
+  0.1,         // char. phys. length
+  0.2,         // char. phys. velocity
+  0.1*0.2/Re,  // phsy. kinematic viscosity
+  1.0);        // char. phys. density
+
+void prepareGeometry(Grid2D<T,DESCRIPTOR>& grid, Vector<T,2> origin, Vector<T,2> extend)
 {
   OstreamManager clout(std::cout,"prepareGeometry");
   clout << "Prepare Geometry ..." << std::endl;
@@ -59,34 +67,42 @@ void prepareGeometry(Grid2D<T,DESCRIPTOR>& grid)
 
   const T physSpacing = converter.getPhysDeltaX();
 
-  // Set material number for bounce back boundaries
+  // Set material number for channel walls
   {
-    const Vector<T,2> wallExtend {lx+physSpacing,  physSpacing};
-    const Vector<T,2> wallOrigin {-physSpacing/2, -physSpacing/2};
+    const Vector<T,2> wallExtend { extend[0]+physSpacing/2, physSpacing/2 };
+    const Vector<T,2> wallOrigin = origin - physSpacing/4;
 
     IndicatorCuboid2D<T> lowerWall(wallExtend, wallOrigin);
     sGeometry.rename(1,2,lowerWall);
+  }
+  {
+    const Vector<T,2> wallExtend { extend[0]+physSpacing/2, physSpacing/2 };
+    const Vector<T,2> wallOrigin { origin[0]-physSpacing/4, extend[1]-physSpacing/4 };
 
-    IndicatorCuboid2D<T> upperWall(wallExtend, wallOrigin + Vector<T,2> {0,ly-physSpacing/2});
+    IndicatorCuboid2D<T> upperWall(wallExtend, wallOrigin);
     sGeometry.rename(1,2,upperWall);
   }
 
   // Set material number for inflow and outflow
   {
-    const Vector<T,2> extend { physSpacing/2,  ly-physSpacing/2};
-    const Vector<T,2> origin {-physSpacing/4, -physSpacing/4};
+    const Vector<T,2> inflowExtend { physSpacing/2, extend[1]+physSpacing/4 };
+    const Vector<T,2> inflowOrigin = origin - physSpacing/4;
 
-    IndicatorCuboid2D<T> inflow(extend, origin);
+    IndicatorCuboid2D<T> inflow(inflowExtend, inflowOrigin);
     sGeometry.rename(1,3,inflow);
+  }
+  {
+    const Vector<T,2> outflowExtend { physSpacing/2, extend[1]+physSpacing/4 };
+    const Vector<T,2> outflowOrigin { extend[0]-physSpacing/4, origin[0]-physSpacing/4 };
 
-    IndicatorCuboid2D<T> outflow(extend, origin + Vector<T,2> {lx,0});
+    IndicatorCuboid2D<T> outflow(outflowExtend, outflowOrigin);
     sGeometry.rename(1,4,outflow);
   }
 
   // Set material number for vertically centered cylinder
   {
-    const Vector<T,2> origin {2*cylinderD, 2*cylinderD};
-    IndicatorCircle2D<T> obstacle(origin, cylinderD/2);
+    const Vector<T,2> cylinderOrigin = origin + Vector<T,2> {cylinderX, cylinderY};
+    IndicatorCircle2D<T> obstacle(cylinderOrigin, cylinderD/2);
     sGeometry.rename(1,5,obstacle);
   }
 
@@ -121,25 +137,25 @@ void prepareLattice(Grid2D<T,DESCRIPTOR>& grid)
           instances::getBulkMomenta<T,DESCRIPTOR>())));
 
   sOnLatticeBoundaryCondition2D<T,DESCRIPTOR>& sBoundaryCondition = grid.getOnLatticeBoundaryCondition();
-  createLocalBoundaryCondition2D<T,DESCRIPTOR>(sBoundaryCondition);
+  createInterpBoundaryCondition2D<T,DESCRIPTOR>(sBoundaryCondition);
 
   const T omega = converter.getLatticeRelaxationFrequency();
 
   sLattice.defineDynamics(sGeometry, 0, &instances::getNoDynamics<T,DESCRIPTOR>());
   sLattice.defineDynamics(sGeometry, 1, &bulkDynamics); // bulk
-  sLattice.defineDynamics(sGeometry, 2, &bulkDynamics); // walls
+  sLattice.defineDynamics(sGeometry, 2, &instances::getBounceBack<T,DESCRIPTOR>()); // walls
   sLattice.defineDynamics(sGeometry, 3, &bulkDynamics); // inflow
   sLattice.defineDynamics(sGeometry, 4, &bulkDynamics); // outflow
-  sLattice.defineDynamics(sGeometry, 5, &instances::getBounceBack<T,DESCRIPTOR>()); // cylinder
+  sLattice.defineDynamics(sGeometry, 5, &bulkDynamics); // cylinder
 
-  sBoundaryCondition.addVelocityBoundary(sGeometry, 2, omega);
   sBoundaryCondition.addVelocityBoundary(sGeometry, 3, omega);
   sBoundaryCondition.addPressureBoundary(sGeometry, 4, omega);
+  sBoundaryCondition.addVelocityBoundary(sGeometry, 5, omega);
 
   AnalyticalConst2D<T,T> rho0(1.0);
   AnalyticalConst2D<T,T> u0(0.0, 0.0);
 
-  auto materials = sGeometry.getMaterialIndicator({1, 2, 3, 4, 5});
+  auto materials = sGeometry.getMaterialIndicator({1, 3, 4, 5});
   sLattice.defineRhoU(materials, rho0, u0);
   sLattice.iniEquilibrium(materials, rho0, u0);
 
@@ -155,8 +171,8 @@ void setBoundaryValues(Grid2D<T,DESCRIPTOR>& grid, int iT)
   auto& sGeometry = grid.getSuperGeometry();
   auto& sLattice  = grid.getSuperLattice();
 
-  const int iTmaxStart = converter.getLatticeTime(0.2*maxPhysT);
-  const int iTupdate = 10;
+  const int iTmaxStart = converter.getLatticeTime(0.4*16);
+  const int iTupdate = 5;
 
   if ( iT % iTupdate == 0 && iT <= iTmaxStart ) {
     PolynomialStartScale<T,T> StartScale(iTmaxStart, 1);
@@ -165,11 +181,8 @@ void setBoundaryValues(Grid2D<T,DESCRIPTOR>& grid, int iT)
     T frac[1] { };
     StartScale(frac, iTvec);
 
-    const T maxVelocity = converter.getCharLatticeVelocity() * frac[0];
-    const T radius = ly/2;
-    std::vector<T> axisPoint{0, ly/2};
-    std::vector<T> axisDirection{1, 0};
-    Poiseuille2D<T> u(axisPoint, axisDirection, maxVelocity, radius);
+    const T maxVelocity = converter.getCharLatticeVelocity() * 3./2. * frac[0];
+    Poiseuille2D<T> u(sGeometry, 3, maxVelocity, deltaR/2);
 
     sLattice.defineU(sGeometry, 3, u);
   }
@@ -199,13 +212,13 @@ void getResults(const std::string& prefix,
     vtmWriter.createMasterFile();
   }
 
-  if (iT%100==0) {
-    vtmWriter.write(iT);
-  }
+  vtmWriter.write(iT);
 }
 
 void takeMeasurements(Grid2D<T,DESCRIPTOR>& grid)
 {
+  static T maxDrag = 0.0;
+
   OstreamManager clout(std::cout,"measurement");
 
   auto& sLattice  = grid.getSuperLattice();
@@ -214,14 +227,12 @@ void takeMeasurements(Grid2D<T,DESCRIPTOR>& grid)
 
   SuperLatticePhysPressure2D<T,DESCRIPTOR> pressure(sLattice, converter);
   AnalyticalFfromSuperF2D<T> intpolatePressure(pressure, true);
-  SuperLatticePhysDrag2D<T,DESCRIPTOR> drag(sLattice, sGeometry, 5, converter);
+  SuperLatticePhysDrag2D<T,DESCRIPTOR> dragF(sLattice, sGeometry, 5, converter);
 
-  const T centerCylinderX = 2*cylinderD;
-  const T centerCylinderY = 2*cylinderD;
   const T radiusCylinder  = cylinderD/2;
 
-  const T point1[2] { centerCylinderX - radiusCylinder, centerCylinderY };
-  const T point2[2] { centerCylinderX + radiusCylinder, centerCylinderY };
+  const T point1[2] { cylinderX - radiusCylinder, cylinderY };
+  const T point2[2] { cylinderX + radiusCylinder, cylinderY };
 
   T pressureInFrontOfCylinder, pressureBehindCylinder;
   intpolatePressure(&pressureInFrontOfCylinder, point1);
@@ -234,9 +245,12 @@ void takeMeasurements(Grid2D<T,DESCRIPTOR>& grid)
   clout << "; pressureDrop=" << pressureDrop;
 
   const int input[3] {};
-  T _drag[drag.getTargetDim()] {};
-  drag(_drag, input);
-  clout << "; drag=" << _drag[0] << "; lift=" << _drag[1] << endl;
+  T drag[dragF.getTargetDim()] {};
+  dragF(drag, input);
+  if (drag[0] > maxDrag) {
+    maxDrag = drag[0];
+  };
+  clout << "; drag=" << drag[0] << "; maxDrag: " << maxDrag << "; lift=" << drag[1] << endl;
 }
 
 int main(int argc, char* argv[])
@@ -249,83 +263,77 @@ int main(int argc, char* argv[])
   const Vector<T,2> coarseExtend {lx, ly};
   IndicatorCuboid2D<T> coarseCuboid(coarseExtend, coarseOrigin);
 
-  Grid2D<T,DESCRIPTOR> coarseGrid(coarseCuboid, N, LatticeVelocity<T>(uLat), Re);
-  prepareGeometry(coarseGrid);
+  Grid2D<T,DESCRIPTOR> coarseGrid(
+    coarseCuboid,
+    RelaxationTime<T>(tau),
+    N,
+    PhysCharacteristics);
+  const Vector<T,2> domainOrigin = coarseGrid.getSuperGeometry().getStatistics().getMinPhysR(0);
+  const Vector<T,2> domainExtend = coarseGrid.getSuperGeometry().getStatistics().getPhysExtend(0);
+
+  prepareGeometry(coarseGrid, domainOrigin, domainExtend);
 
   const auto coarseDeltaX = coarseGrid.getConverter().getPhysDeltaX();
 
-  const Vector<T,2> fineExtend {6.5*cylinderD, ly-2*coarseDeltaX};
-  const Vector<T,2> fineOrigin {0.75*cylinderD, coarseDeltaX};
+  const Vector<T,2> fineExtend {10*cylinderD, ly-2*coarseDeltaX};
+  const Vector<T,2> fineOrigin {1*coarseDeltaX, coarseDeltaX};
 
   auto& fineGrid = coarseGrid.refine(fineOrigin, fineExtend);
-  prepareGeometry(fineGrid);
+  prepareGeometry(fineGrid, domainOrigin, domainExtend);
   disableRefinedArea(coarseGrid, fineGrid);
 
-  const Vector<T,2> fineOutflowExtend {5*coarseDeltaX, ly};
-  const Vector<T,2> fineOutflowOrigin {lx-5*coarseDeltaX, 0};
-
-  auto& fineOutflowGrid = coarseGrid.refine(fineOutflowOrigin, fineOutflowExtend, false);
-  prepareGeometry(fineOutflowGrid);
-
-  {
-    const Vector<T,2> origin = fineOutflowGrid.getOrigin();
-    const Vector<T,2> extend = fineOutflowGrid.getExtend();
-
-    const Vector<T,2> extendY = {0,extend[1]};
-
-    coarseGrid.addFineCoupling(fineOutflowGrid, origin, extendY);
-    coarseGrid.addCoarseCoupling(fineOutflowGrid, origin + Vector<T,2> {coarseDeltaX,0}, extendY);
-
-    IndicatorCuboid2D<T> refined(extend, origin + Vector<T,2> {2*coarseDeltaX,0});
-    coarseGrid.getSuperGeometry().reset(refined);
-  }
-
-  const Vector<T,2> fineExtend2 {2.3*cylinderD, 1.7*cylinderD};
-  const Vector<T,2> fineOrigin2 {1.0*cylinderD, 2*cylinderD-fineExtend2[1]/2};
+  const Vector<T,2> fineExtend2 {6*cylinderD, fineGrid.getExtend()[1]-2*coarseDeltaX};
+  const Vector<T,2> fineOrigin2 {2*coarseDeltaX, (ly-fineExtend2[1])/2};
 
   auto& fineGrid2 = fineGrid.refine(fineOrigin2, fineExtend2);
-  prepareGeometry(fineGrid2);
+  prepareGeometry(fineGrid2, domainOrigin, domainExtend);
   disableRefinedArea(fineGrid, fineGrid2);
 
-  const Vector<T,2> fineExtend3 {1.4*cylinderD, 1.4*cylinderD};
-  const Vector<T,2> fineOrigin3 {2*cylinderD-fineExtend3[0]/2, 2*cylinderD-fineExtend3[1]/2};
+  const Vector<T,2> fineExtend3 {4*cylinderD, 2*cylinderD};
+  const Vector<T,2> fineOrigin3 {1.2*cylinderD, (ly-fineExtend3[1])/2};
 
   auto& fineGrid3 = fineGrid2.refine(fineOrigin3, fineExtend3);
-  prepareGeometry(fineGrid3);
+  prepareGeometry(fineGrid3, domainOrigin, domainExtend);
   disableRefinedArea(fineGrid2, fineGrid3);
 
+  const Vector<T,2> fineExtend4 {1.25*cylinderD, 1.25*cylinderD};
+  const Vector<T,2> fineOrigin4 {cylinderX - fineExtend4[0]/2, cylinderY - fineExtend4[1]/2};
+
+  auto& fineGrid4 = fineGrid3.refine(fineOrigin4, fineExtend4);
+  prepareGeometry(fineGrid4, domainOrigin, domainExtend);
+  disableRefinedArea(fineGrid3, fineGrid4);
+
   prepareLattice(coarseGrid);
   prepareLattice(fineGrid);
-  prepareLattice(fineOutflowGrid);
   prepareLattice(fineGrid2);
   prepareLattice(fineGrid3);
+  prepareLattice(fineGrid4);
 
   clout << "Total number of active cells: " << coarseGrid.getActiveVoxelN() << endl;
   clout << "Starting simulation..." << endl;
+
+  const int statIter = coarseGrid.getConverter().getLatticeTime(0.1);
   Timer<T> timer(
     coarseGrid.getConverter().getLatticeTime(maxPhysT),
     coarseGrid.getSuperGeometry().getStatistics().getNvoxel());
   timer.start();
-  const int statIter = coarseGrid.getConverter().getLatticeTime(1);
 
-  for (int iT = 0; iT < coarseGrid.getConverter().getLatticeTime(maxPhysT); ++iT) {
+  for (int iT = 0; iT <= coarseGrid.getConverter().getLatticeTime(maxPhysT); ++iT) {
     setBoundaryValues(coarseGrid, iT);
 
     coarseGrid.collideAndStream();
 
-    getResults("level0_", coarseGrid, iT);
-    getResults("level1_", fineGrid,   iT);
-    getResults("level1_outflow_", fineOutflowGrid, iT);
-    getResults("level2_", fineGrid2,  iT);
-    getResults("level3_", fineGrid3,  iT);
-
     if (iT%statIter == 0) {
       timer.update(iT);
       timer.printStep();
 
-      coarseGrid.getSuperLattice().getStatistics().print(iT, coarseGrid.getConverter().getPhysTime(iT));
+      getResults("level0_", coarseGrid, iT);
+      getResults("level1_", fineGrid,   iT);
+      getResults("level2_", fineGrid2,  iT);
+      getResults("level3_", fineGrid3,  iT);
+      getResults("level4_", fineGrid4,  iT);
 
-      takeMeasurements(fineGrid3);
+      takeMeasurements(fineGrid4);
     }
   }