From 625686077cb9bdcb93a6437e947afc3ba0300c6e Mon Sep 17 00:00:00 2001
From: Paul Dechamps <paulzer@sentinelle.local>
Date: Wed, 13 Jul 2022 11:39:42 +0200
Subject: [PATCH] Changed Y Z directions management

---
 vii/models/n0012_3_visc.geo |     4 +-
 vii/models/n0012_3_visc.msh | 33366 ++++++++++++++++++++++++++++++++++
 vii/pyVII/vCoupler.py       |    11 +
 vii/pyVII/vCoupler2.py      |     2 +-
 vii/pyVII/vInterpolator.py  |    48 +-
 vii/src/wBLRegion.cpp       |     6 +-
 vii/src/wViscSolver.cpp     |    52 +-
 vii/src/wViscSolver.h       |     6 +-
 vii/tests/bli3.py           |     6 +-
 9 files changed, 33452 insertions(+), 49 deletions(-)
 create mode 100644 vii/models/n0012_3_visc.msh

diff --git a/vii/models/n0012_3_visc.geo b/vii/models/n0012_3_visc.geo
index 5b4e93d..f5fd0ae 100644
--- a/vii/models/n0012_3_visc.geo
+++ b/vii/models/n0012_3_visc.geo
@@ -355,11 +355,11 @@ nElmChrodwise_wake = 40;
 Transfinite Curve {222, 221} = nElmChrodwise_wake Using Progression 1.05;
 Transfinite Surface {51};
 
-nChordwise_midWing = 40;
+nChordwise_midWing = 80;
 //+
 Transfinite Curve {8, 11, 5, 2, 122} = nChordwise_midWing Using Progression 1;
 //+
-nChordwise_Le = 40;
+nChordwise_Le = 70;
 Transfinite Curve {-9, 10, -3, 4} = nChordwise_Le Using Progression 1.07;
 
 //+
diff --git a/vii/models/n0012_3_visc.msh b/vii/models/n0012_3_visc.msh
new file mode 100644
index 0000000..0c7dc12
--- /dev/null
+++ b/vii/models/n0012_3_visc.msh
@@ -0,0 +1,33366 @@
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+17234 3 2 6 51 15989 16027 16028 15990
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+17258 3 2 6 51 16013 16051 1078 1077
+17259 3 2 6 51 1040 15 1079 16014
+17260 3 2 6 51 16014 1079 1080 16015
+17261 3 2 6 51 16015 1080 1081 16016
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+17277 3 2 6 51 16031 1096 1097 16032
+17278 3 2 6 51 16032 1097 1098 16033
+17279 3 2 6 51 16033 1098 1099 16034
+17280 3 2 6 51 16034 1099 1100 16035
+17281 3 2 6 51 16035 1100 1101 16036
+17282 3 2 6 51 16036 1101 1102 16037
+17283 3 2 6 51 16037 1102 1103 16038
+17284 3 2 6 51 16038 1103 1104 16039
+17285 3 2 6 51 16039 1104 1105 16040
+17286 3 2 6 51 16040 1105 1106 16041
+17287 3 2 6 51 16041 1106 1107 16042
+17288 3 2 6 51 16042 1107 1108 16043
+17289 3 2 6 51 16043 1108 1109 16044
+17290 3 2 6 51 16044 1109 1110 16045
+17291 3 2 6 51 16045 1110 1111 16046
+17292 3 2 6 51 16046 1111 1112 16047
+17293 3 2 6 51 16047 1112 1113 16048
+17294 3 2 6 51 16048 1113 1114 16049
+17295 3 2 6 51 16049 1114 1115 16050
+17296 3 2 6 51 16050 1115 1116 16051
+17297 3 2 6 51 16051 1116 16 1078
+$EndElements
diff --git a/vii/pyVII/vCoupler.py b/vii/pyVII/vCoupler.py
index 5378573..51000dd 100644
--- a/vii/pyVII/vCoupler.py
+++ b/vii/pyVII/vCoupler.py
@@ -247,6 +247,17 @@ class Coupler:
     """plt.plot(fMeshDict['globCoord'][:fMeshDict['bNodes'][1]], fMeshDict['vx'][:fMeshDict['bNodes'][1]])
     plt.plot(fMeshDict['globCoord'][fMeshDict['bNodes'][1]:fMeshDict['bNodes'][2]], fMeshDict['vx'][fMeshDict['bNodes'][1]:fMeshDict['bNodes'][2]])
     plt.show()"""
+
+    plt.plot(fMeshDict['globCoord'][:fMeshDict['bNodes'][1]], fMeshDict['vx'][:fMeshDict['bNodes'][1]])
+    plt.plot(fMeshDict['globCoord'][fMeshDict['bNodes'][1]:fMeshDict['bNodes'][2]], fMeshDict['vx'][fMeshDict['bNodes'][1]:fMeshDict['bNodes'][2]])
+    plt.show()
+    plt.plot(fMeshDict['globCoord'][:fMeshDict['bNodes'][1]], fMeshDict['vy'][:fMeshDict['bNodes'][1]])
+    plt.plot(fMeshDict['globCoord'][fMeshDict['bNodes'][1]:fMeshDict['bNodes'][2]], fMeshDict['vy'][fMeshDict['bNodes'][1]:fMeshDict['bNodes'][2]])
+    plt.show()
+    plt.plot(fMeshDict['globCoord'][:fMeshDict['bNodes'][1]], fMeshDict['vz'][:fMeshDict['bNodes'][1]])
+    plt.plot(fMeshDict['globCoord'][fMeshDict['bNodes'][1]:fMeshDict['bNodes'][2]], fMeshDict['vz'][fMeshDict['bNodes'][1]:fMeshDict['bNodes'][2]])
+    plt.show()
+    quit()
     self.nElmUpperPrev = len(fMeshDict['locCoord'][:fMeshDict['bNodes'][1]])
     self.vSolver.SetVelocities(0, 0, fMeshDict['vx'][:fMeshDict['bNodes'][1]], fMeshDict['vy'][:fMeshDict['bNodes'][1]], fMeshDict['vz'][:fMeshDict['bNodes'][1]])
     self.vSolver.SetVelocities(0, 1, fMeshDict['vx'][fMeshDict['bNodes'][1]:fMeshDict['bNodes'][2]], fMeshDict['vy'][fMeshDict['bNodes'][1]:fMeshDict['bNodes'][2]], fMeshDict['vz'][fMeshDict['bNodes'][1]:fMeshDict['bNodes'][2]])
diff --git a/vii/pyVII/vCoupler2.py b/vii/pyVII/vCoupler2.py
index 048ae7f..2a4da00 100644
--- a/vii/pyVII/vCoupler2.py
+++ b/vii/pyVII/vCoupler2.py
@@ -30,7 +30,7 @@ class Coupler:
     self.iSolverAPI = _iSolverAPI
     self.vSolver = vSolver
 
-    self.maxCouplIter = 5
+    self.maxCouplIter = 15
     self.couplTol = 1e-4
 
     self.tms=fwk.Timers()
diff --git a/vii/pyVII/vInterpolator.py b/vii/pyVII/vInterpolator.py
index d543849..0654db7 100644
--- a/vii/pyVII/vInterpolator.py
+++ b/vii/pyVII/vInterpolator.py
@@ -75,6 +75,7 @@ class Interpolator:
 
         self.xCp = [[np.zeros((len(self.Xp[iReg]), 1)) for iReg in range(2)] for _ in range(len(self.cfg['Sections']))]
         self.CpIter = [[np.zeros((len(self.Xp[iReg]), 1)) for iReg in range(2)] for _ in range(len(self.cfg['Sections']))]
+
     def GetInvBC(self, vSolver, couplIter):
         self.tms['InvToVisc'].start()
 
@@ -111,10 +112,11 @@ class Interpolator:
             for iReg in range(2):
                 
                 # Y Z inverted
-                x_pos = self.Xp[iReg][:,(abs(self.Yp[iReg][0,:]-y)).argmin()]
-                y_pos = self.Zp[iReg][:,(abs(self.Yp[iReg][0,:]-y)).argmin()]
-                z_pos = self.Yp[iReg][:,(abs(self.Yp[iReg][0,:]-y)).argmin()]
-                goodRows = self.sortedRows[iReg][:,(abs(self.Yp[iReg][0,:]-y)).argmin()]
+                jcol = (abs(self.Yp[iReg][0,:]-y)).argmin()
+                x_pos = self.Xp[iReg][:,jcol]
+                y_pos = self.Yp[iReg][:,jcol]
+                z_pos = self.Zp[iReg][:,jcol]
+                goodRows = self.sortedRows[iReg][:,jcol]
 
                 ux = np.zeros(0)
                 uy = np.zeros(0)
@@ -129,27 +131,25 @@ class Interpolator:
                     row = np.where(self.vdata[iReg][:,3]==goodRows[i])[0]
                     xxx = np.append(xxx, self.vdata[iReg][row,0])
                     ux = np.append(ux, Ux[iReg][row])
-                    uy = np.append(uy, Uz[iReg][row])
-                    uz = np.append(uz, Uy[iReg][row])
+                    uy = np.append(uy, Uy[iReg][row])
+                    uz = np.append(uz, Uz[iReg][row])
                     me = np.append(me, Me[iReg][row])
                     rhoe = np.append(rhoe, Rhoe[iReg][row])
                     cp = np.append(cp, Cp[iReg][row])
 
                 self.xCp[iSec][iReg] = np.column_stack((self.xCp[iSec][iReg], abs(x_pos)))
                 self.CpIter[iSec][iReg] = np.column_stack((self.CpIter[iSec][iReg], cp))
-
-                    
                 
                 if couplIter == 0:
 
                     if iReg == 0:
-                        self.stgPt[iSec] = np.argmin(ux**2+uy**2)
+                        self.stgPt[iSec] = np.argmin(ux**2+uz**2)
                         xUp, xLw = self.__Remesh(abs(x_pos), self.stgPt[iSec])
                         yUp, yLw = self.__Remesh(y_pos, self.stgPt[iSec])
                         zUp, zLw = self.__Remesh(z_pos, self.stgPt[iSec])
 
-                        vSolver.SetGlobMesh(iSec, 0, xUp, yUp, zUp)
-                        vSolver.SetGlobMesh(iSec, 1, xLw, yLw, zLw)
+                        vSolver.SetGlobMesh(iSec, 0, xUp, zUp, yUp)
+                        vSolver.SetGlobMesh(iSec, 1, xLw, zLw, yLw)
 
                         self.DeltaStarPrev[iSec][0] = np.zeros(len(xUp))
                         self.DeltaStarPrev[iSec][1] = np.zeros(len(xLw))
@@ -157,7 +157,7 @@ class Interpolator:
                         self.xxPrev[iSec][0] = np.zeros(len(xUp))
                         self.xxPrev[iSec][1] = np.zeros(len(xLw))
                     else:
-                        vSolver.SetGlobMesh(iSec, 2, x_pos, y_pos, z_pos)
+                        vSolver.SetGlobMesh(iSec, 2, x_pos, z_pos, y_pos)
                         self.DeltaStarPrev[iSec][2] = np.zeros(len(x_pos))   
                         self.xxPrev[iSec][2] = np.zeros(len(x_pos))
                     
@@ -172,8 +172,8 @@ class Interpolator:
                     UyUp, UyLw = self.__Remesh(uy, self.stgPt[iSec])
                     UzUp, UzLw = self.__Remesh(uz, self.stgPt[iSec])
 
-                    vSolver.SetVelocities(iSec, 0, UxUp, UyUp, UzUp)
-                    vSolver.SetVelocities(iSec, 1, UxLw, UyLw, UzLw)
+                    vSolver.SetVelocities(iSec, 0, UxUp, UzUp, UyUp)
+                    vSolver.SetVelocities(iSec, 1, UxLw, UzLw, UyLw)
 
                     MeUp, MeLw = self.__Remesh(me, self.stgPt[iSec])
                     vSolver.SetMe(iSec, 0, MeUp)
@@ -184,7 +184,7 @@ class Interpolator:
                     vSolver.SetRhoe(iSec, 1, RhoLw)
                 else:
 
-                    vSolver.SetVelocities(iSec, 2, ux, uy, uz)
+                    vSolver.SetVelocities(iSec, 2, ux, uz, uy)
                     vSolver.SetMe(iSec, 2, me)    
                     vSolver.SetRhoe(iSec, 2, rhoe)
 
@@ -239,10 +239,14 @@ class Interpolator:
             blwAll[:,indexOutside[0]] = dummy
 
             for iInter, inter in enumerate(indexInside):
+                dblw = blw[iInter+1][iReg] - blw[iInter][iReg]
+                dy = self.Cg_Sec[iInter+1][iReg][0,1] - self.Cg_Sec[iInter][iReg][0,1]
                 for j in inter:
-                    dblw = blw[iInter+1][iReg] - blw[iInter][iReg]
-                    dy = self.Cg_Sec[iInter+1][iReg][0,2] - self.Cg_Sec[iInter][iReg][0,2]
-                    blwAll[:, j] = dblw/dy*(self.Yc[iReg][0, j] - self.Cg_Sec[iInter][iReg][0,2]) + blw[iInter][iReg]
+                    if dy == 0:
+                        print('dy=0 encountered. mem1 = ',self.Cg_Sec[iInter+1][iReg][0,1], 'mem2 = ',self.Cg_Sec[iInter][iReg][0,1])
+                        print(iInter)
+                        quit()
+                    blwAll[:, j] = dblw/dy*(self.Yc[iReg][0, j] - self.Cg_Sec[iInter][iReg][0,1]) + blw[iInter][iReg]
 
             dummy = np.zeros((len(self.Xc[iReg][:,0]), len(indexOutside[1])))
             for iCol in range(len(dummy[0,:])):
@@ -253,7 +257,7 @@ class Interpolator:
             """fig = plt.figure()
             ax = fig.add_subplot(projection='3d')
             for i in range(len(blw)):
-                ax.scatter(self.Cg_Sec[i][iReg][:,0], self.Cg_Sec[i][iReg][:,2], blw[i][iReg], s=0.7, color='red')
+                ax.scatter(self.Cg_Sec[i][iReg][:,0], self.Cg_Sec[i][iReg][:,1], blw[i][iReg], s=0.7, color='red')
             for i in range(len(blwAll[0,:])):
                 ax.scatter(self.Xc[iReg][:,i], self.Yc[iReg][:,i], blwAll[:,i], s=0.2, color='blue')
             ax.set_xlabel('x')
@@ -277,9 +281,9 @@ class Interpolator:
             """fig = plt.figure()
             ax = fig.add_subplot(projection='3d')
             for i in range(len(blw)):
-                ax.scatter(self.Cg_Sec[i][iReg][:,0], self.Cg_Sec[i][iReg][:,2], blw[i][iReg], s=0.7, color='red')
+                ax.scatter(self.Cg_Sec[i][iReg][:,0], self.Cg_Sec[i][iReg][:,1], blw[i][iReg], s=0.7, color='red')
             ax.scatter(self.icg[iReg][:, 0], self.icg[iReg][:, 1], mappedBlw, s=0.2, color='blue')
-            ax.set_zlim([-0.01, 0.015])
+            #ax.set_zlim([-0.01, 0.015])
             ax.set_xlabel('x')
             ax.set_ylabel('y')
             ax.set_zlabel('z')
@@ -288,7 +292,7 @@ class Interpolator:
 
 
             self.tms['Interpolation'].stop()
-            if iReg==0:
+            if iReg==0 or iReg == 1:
                 for iElm in range(len(self.idata[iReg][:,0])):
                     self.blw[iReg].setU(iElm, mappedBlw[iElm])
 
diff --git a/vii/src/wBLRegion.cpp b/vii/src/wBLRegion.cpp
index 9f18080..7456dd3 100644
--- a/vii/src/wBLRegion.cpp
+++ b/vii/src/wBLRegion.cpp
@@ -70,13 +70,9 @@ void BLRegion::SetStagBC(double Re)
     double dv0 = (invBnd->GetVt(1) - invBnd->GetVt(0)) / (mesh->GetLoc(1) - mesh->GetLoc(0));
 
     if (dv0 > 0)
-    {
         U[0] = sqrt(0.075 / (Re * dv0)); // Theta
-    }                                    // End if
     else
-    {
         U[0] = 1e-6; // Theta
-    }                // end else
     U[1] = 2.23;     // H
     U[2] = 0.;        // N
     U[3] = invBnd->GetVt(0); // ue
@@ -88,7 +84,7 @@ void BLRegion::SetStagBC(double Re)
     {
         Ret[0] = 1.;
         U[3] = Ret[0] / (U[0] * Re);
-    } // End if
+    }
 
     //std::cout << "name " << name << " dv0 " << dv0 << " U3 " << U[3] << " U[0] " << U[0] << " \n" << std::scientific;
 
diff --git a/vii/src/wViscSolver.cpp b/vii/src/wViscSolver.cpp
index 3e364fc..a70b957 100644
--- a/vii/src/wViscSolver.cpp
+++ b/vii/src/wViscSolver.cpp
@@ -34,8 +34,6 @@ ViscSolver::ViscSolver(double _Re, double _Minf, double _CFL0, unsigned int nSec
     Re = _Re;
     CFL0 = _CFL0;
 
-    Cdt = 0.; Cdf = 0.; Cdp = 0.;
-
     verbose = _verbose;
 
     /* Initialzing boundary layer */
@@ -53,6 +51,11 @@ ViscSolver::ViscSolver(double _Re, double _Minf, double _CFL0, unsigned int nSec
         Sections[iSec][2]->name = "wake";
     }
 
+    Cdt_sec.resize(Sections.size(), 0.);
+    Cdf_sec.resize(Sections.size(), 0.);
+    Cdp_sec.resize(Sections.size(), 0.);
+    Cdt = 0.; Cdf = 0.; Cdp = 0.;
+
     /* Pre/post processing flags */
 
     solverExitCode = 0;
@@ -193,9 +196,7 @@ int ViscSolver::Run(unsigned int const couplIter)
             else // Wake
             {
                 for (size_t k = 0; k < Sections[iSec][iRegion]->mesh->GetnMarkers(); k++)
-                {
                     Sections[iSec][iRegion]->Regime[k] = 1;
-                }
 
                 /* Impose wake boundary condition */
                 std::vector<double> UpperCond(Sections[iSec][iRegion]->GetnVar(), 0.);
@@ -210,18 +211,16 @@ int ViscSolver::Run(unsigned int const couplIter)
                 if (verbose>2){std::cout << "Wake BC imposed." <<std::endl;}
             }
 
-            /* Loop over points */
+            // Loop over points
             for (size_t iPoint = 1; iPoint < Sections[iSec][iRegion]->mesh->GetnMarkers(); ++iPoint)
             {
 
-                /* Initialize solution at point */
-
+                // Initialize solution at point
                 tSolver->InitialCondition(iPoint, Sections[iSec][iRegion]);
-                
+                // Solve equations 
                 pointExitCode = tSolver->Integration(iPoint, Sections[iSec][iRegion]);
 
-                /* Unsucessfull convergence output */
-
+                // Unsucessfull convergence output
                 if (pointExitCode != 0)
                 {
                     if (verbose>1){std::cout << "Point " << iPoint << ": Convergence terminated with exitcode " << pointExitCode << std::endl;}
@@ -266,7 +265,10 @@ int ViscSolver::Run(unsigned int const couplIter)
         if (verbose>0){std::cout << "\n";}
     } // End for iSections
 
-    ComputeDrag(Sections[0]);
+    for (size_t i=0; i<Sections.size(); ++i)
+    {
+        ComputeSectionalDrag(Sections[i], i);
+    }
 
     if (solverExitCode != 0 && verbose>1){std::cout << "some points did not converge. ";}
     if (verbose>0){std::cout << "\n" << std::endl;}
@@ -384,7 +386,7 @@ void ViscSolver::AverageTransition(size_t iPoint, BLRegion *bl, int forced)
  * Cdf = integral(Cf dx)_upper + integral(Cf dx)_lower.
  * Cdp = Cdtot - Cdf.
  */
-void ViscSolver::ComputeDrag(std::vector<BLRegion *> const &bl)
+void ViscSolver::ComputeSectionalDrag(std::vector<BLRegion *> const &bl, int i)
 {
 
     unsigned int nVar = bl[0]->GetnVar();
@@ -416,15 +418,35 @@ void ViscSolver::ComputeDrag(std::vector<BLRegion *> const &bl)
         Cdf_lower += (frictioncoeff_lower[k] + frictioncoeff_lower[k - 1]) * (bl[1]->mesh->Getx(k) - bl[1]->mesh->Getx(k - 1)) / 2;
     }
 
-    Cdf = Cdf_upper + Cdf_lower; // No friction in the wake
+    Cdf_sec[i] = Cdf_upper + Cdf_lower; // No friction in the wake
 
     /* Compute total drag coefficient. */
 
-    Cdt = 2 * bl[2]->U[lastWkPt + 0] * pow(bl[2]->U[lastWkPt + 3], (bl[2]->U[lastWkPt + 1] + 5) / 2);
+    Cdt_sec[i] = 2 * bl[2]->U[lastWkPt + 0] * pow(bl[2]->U[lastWkPt + 3], (bl[2]->U[lastWkPt + 1] + 5) / 2);
 
     /* Compute pressure drag coefficient. */
 
-    Cdp = Cdt - Cdf;
+    Cdp_sec[i] = Cdt_sec[i] - Cdf_sec[i];
+}
+
+void ViscSolver::ComputeTotalDrag()
+{
+
+    if (Sections.size() == 1)
+    {
+        Cdt = Cdt_sec[0];
+        Cdf = Cdf_sec[0];
+        Cdp = Cdf_sec[0];
+    }
+
+    else
+    {
+        for(size_t k=1; k<Cdt_sec.size(); ++k)
+        {
+            Cdt += (Sections[i]->)
+        }
+    }
+    
 }
 
 void ViscSolver::SetGlobMesh(size_t iSec, size_t iRegion, std::vector<double> _x, std::vector<double> _y, std::vector<double> _z)
diff --git a/vii/src/wViscSolver.h b/vii/src/wViscSolver.h
index d500650..296abf6 100644
--- a/vii/src/wViscSolver.h
+++ b/vii/src/wViscSolver.h
@@ -12,6 +12,10 @@ public:
     double Cdt,
            Cdf,
            Cdp;
+    
+    std::vector<double> Cdt_sec,
+                        Cdf_sec,
+                        Cdp_sec;
 
     std::vector<std::vector<BLRegion *>> Sections;
 
@@ -58,7 +62,7 @@ public:
 private:
     void CheckWaves(size_t iPoint, BLRegion *bl);
     void AverageTransition(size_t iPoint, BLRegion *bl, int forced);
-    void ComputeDrag(std::vector<BLRegion *> const &bl);
+    void ComputeSectionalDrag(std::vector<BLRegion *> const &bl, int i);
     void ComputeBlwVel();
     void PrintBanner() const;
 };
diff --git a/vii/tests/bli3.py b/vii/tests/bli3.py
index 326446c..c779ca7 100644
--- a/vii/tests/bli3.py
+++ b/vii/tests/bli3.py
@@ -68,8 +68,8 @@ def main():
     print(ccolors.ANSI_BLUE + 'PyMeshing...' + ccolors.ANSI_RESET)
     tms['msh'].start()
     pars = {'spn' : spn, 'lgt' : lgt, 'wdt' : wdt, 'hgt' : hgt, 'msLe' : nms, 'msTe' : nms, 'msF' : fms}
-    imsh = viscU.mesh('/home/paul/lab/dartflo/dart/models/n0012_3.geo', pars)
-    vmsh = viscU.mesh('/home/paul/lab/dartflo/vii/models/n0012_3_visc.geo', pars)
+    imsh = viscU.mesh('/Users/paulzer/lab/dartflo/dart/models/n0012_3.geo', pars)
+    vmsh = viscU.mesh('/Users/paulzer/lab/dartflo/vii/models/n0012_3_visc.geo', pars)
     msh, gmshWriter = floD.mesh(dim, 'models/n0012_3.geo', pars, ['field', 'wing', 'symmetry', 'downstream'], wktp = 'wakeTip')
     tms['msh'].stop()
 
@@ -80,7 +80,7 @@ def main():
     tms['pre'].stop()
 
     # solve problem
-    config = {'nDim': dim, 'Sections':[0.026, 0.103, 0.179, 0.256, 0.333, 0.41, 0.436, 0.513, 0.59, 0.667, 0.744, 0.821, 0.897, 0.949], 'span':spn, 'rbftype': 'linear', 'smoothing': 1e-8, 'degree': 0, 'neighbors': 5}
+    config = {'nDim': dim, 'Sections':[0.026, 0.103, 0.179, 0.256, 0.333, 0.41, 0.436, 0.513, 0.59, 0.667, 0.744, 0.821, 0.897, 0.949], 'span':spn, 'rbftype': 'linear', 'smoothing': 0.2, 'degree': 0, 'neighbors': 20}
     iSolverAPI = vInterpol.Interpolator(floD.newton(pbl), blw, imsh, vmsh, config)
     vSolver = viscU.initBL(Re, M_inf, CFL0, len(config['Sections']), 2)
     #iSolverAPI = viscAPI.dartAPI(floD.newton(pbl), bnd, wk, nSections, vInterp)
-- 
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