correction solution exacte gnuplot et CL pour k non constant

src/main.cpp

@@ -227,7 +227,8 @@ int main(int argc, char *argv[])
      fout.precision(15);
      for (size_t j=0; j<mesh.numberOfCells(); ++j) {
        //fout << xj[j][0] << ' ' << Ej[j] << ' ' << (-(std::cos(pi*xj[j][0])*std::cos(pi*xj[j][0]))+(std::sin(pi*xj[j][0])*std::sin(pi*xj[j][0])))*0.5*(std::exp(-4.*pi*pi*0.2)-1.) + 2. <<'\n'; // cas k constant
-       fout << xj[j][0] << ' ' << Ej[j] << ' ' << (0.5*pi*pi*xj[j][0]*(std::sin(pi*xj[j][0])*std::sin(pi*xj[j][0]) - std::cos(pi*xj[j][0])*std::cos(pi*xj[j][0])) - cos(xj[j][0])*sin(xj[j][0])*pi*0.5)*(std::exp(-2.*0.2) - 1.) + 2. <<'\n' ; // cas k non constant
+       fout << xj[j][0] << ' ' << Ej[j] << ' ' << ((xj[j][0]*pi*pi*0.5)*(std::sin(pi*xj[j][0])*std::sin(pi*xj[j][0]) - std::cos(xj[j][0]*pi)*std::cos(pi*xj[j][0])) - pi*0.5*std::sin(pi*xj[j][0])*std::cos(pi*xj[j][0]))*(std::exp(-2.*0.2)-1.) + 2. <<'\n' ; // cas k non constant
+       
      }
      }
 

src/scheme/FiniteVolumesDiffusion.hpp

@@ -364,7 +364,7 @@ public:
     double exact_E = 0.;
     for (size_t j=0; j<m_mesh.numberOfCells(); ++j) {
       //exact_E = (-(std::cos(pi*xj[j][0])*std::cos(pi*xj[j][0]))+(std::sin(pi*xj[j][0])*std::sin(pi*xj[j][0])))*0.5*(std::exp(-4.*pi*pi*0.2)-1.) + 2.;
-      exact_E = (0.5*pi*pi*xj[j][0]*(std::sin(pi*xj[j][0])*std::sin(pi*xj[j][0]) - std::cos(pi*xj[j][0])*std::cos(pi*xj[j][0])) - cos(xj[j][0])*sin(xj[j][0])*pi*0.5)*(std::exp(-2.*0.2) - 1.) + 2;
+      exact_E =  ((xj[j][0]*pi*pi*0.5)*(std::sin(pi*xj[j][0])*std::sin(pi*xj[j][0]) - std::cos(xj[j][0]*pi)*std::cos(pi*xj[j][0])) - pi*0.5*std::sin(pi*xj[j][0])*std::cos(pi*xj[j][0]))*(std::exp(-2.*0.2)-1.) + 2.;
       err_E += (exact_E - Ej[j])*(exact_E - Ej[j])*Vj(j);
     }
     err_E = std::sqrt(err_E);
@@ -406,6 +406,8 @@ public:
 
     const Kokkos::View<const double*> Vj = m_mesh_data.Vj();
 
+    const Kokkos::View<const Rd*> xj = m_mesh_data.xj();
+
     double sum = 0.;
 
     for (size_t j=0; j<m_mesh.numberOfCells(); ++j) {

src/scheme/FiniteVolumesEulerUnknowns.hpp

@@ -288,8 +288,8 @@ void initializeSod()
     
     m_uL[0] = zero;
     m_uR[0] = zero;
-    m_kL[0] = 2.;
-    m_kR[0] = 2.;
+    m_kL[0] = 0.;
+    m_kR[0] = 1.;
 
   }