diff --git a/src/main.cpp b/src/main.cpp
index 4d53e063a115cc72018440a70bdf2bdae74b3d4e..b0adab83ef162b4d70925b1d1b251bd37de76499 100644
--- a/src/main.cpp
+++ b/src/main.cpp
@@ -184,8 +184,8 @@ int main(int argc, char *argv[])
       double pi = 4.*std::atan(1.);
       std::ofstream fout("comparaison u");
       for (size_t j=0; j<mesh.numberOfCells(); ++j) {
-	// fout << xj[j][0] << ' ' << uj[j][0] <<  ' ' << std::sin(pi*xj[j][0])*std::exp(-2.*pi*pi*0.2) <<'\n'; cas k constant
-	fout << xj[j][0] << ' ' << uj[j][0] <<  ' ' << std::sin(pi*xj[j][0])*std::exp(-0.2) <<'\n'; // cas k non constant
+        fout << xj[j][0] << ' ' << uj[j][0] <<  ' ' << std::sin(pi*xj[j][0])*std::exp(-2.*pi*pi*0.2) <<'\n'; //cas k constant
+	//fout << xj[j][0] << ' ' << uj[j][0] <<  ' ' << std::sin(pi*xj[j][0])*std::exp(-0.2) <<'\n'; // cas k non constant
       }
     }
 
diff --git a/src/scheme/FiniteVolumesDiffusion.hpp b/src/scheme/FiniteVolumesDiffusion.hpp
index 4f66bcb3bc627153a73c78a0bc013e2dae20c7e9..bbb7d59b67bad23972c0fe29d4d5e67a39fb1b26 100644
--- a/src/scheme/FiniteVolumesDiffusion.hpp
+++ b/src/scheme/FiniteVolumesDiffusion.hpp
@@ -95,17 +95,17 @@ private:
 	for (int j=0; j<face_nb_cells(l); ++j) {
 	  int cell_here = face_cells(l,j);
 	  int local_face_number_in_cell = face_cell_local_face(l,j);
-	  sum += tensorProduct(uj(cell_here, local_face_number_in_cell), Cjr(cell_here, local_face_number_in_cell));
-	  sum2 += kj(cell_here);
+	  sum -= tensorProduct(uj(cell_here, local_face_number_in_cell), Cjr(cell_here, local_face_number_in_cell));
+	  // sum2 += kj(cell_here);
 	}
 
 	// k = x
 	                      
-	m_Fl(l) = ((sum2*0.5)/Vl(l))*sum;
+	//m_Fl(l) = ((sum2*0.5)/Vl(l))*sum;
 
         // k = 2
 	 
-	// m_Fl(l)= (2./Vl(l))*sum;
+	 m_Fl(l)= (2./Vl(l))*sum;
 
       });
 
@@ -214,16 +214,16 @@ public:
 	for (int ll=0; ll<cell_nb_faces(j); ++ll) {
 	  minVl = std::min(minVl, Vl(cell_faces(j, ll)));
 	}
-	// k=2 => (kj(j+1) + 2*kj(j) + kj(j-1)) = 8
-       	// dt_j[j]= 0.5*rhoj(j)*Vj(j)*(2./8.)*minVl;
+	//k=2 => (kj(j+1) + 2*kj(j) + kj(j-1)) = 8
+       	 dt_j[j]= 0.5*rhoj(j)*Vj(j)*(2./8.)*minVl;
 
 	// k=x
-	double sum = 0.;
-	for (int m = 0; m < cell_nb_nodes(j); ++m) {
-	  sum += kj(cell_nodes(j,m));
-	}
+	//double sum = 0.;
+	//for (int m = 0; m < cell_nb_nodes(j); ++m) {
+	 // sum += kj(cell_nodes(j,m));
+	 //}
 
-       	dt_j[j]= 0.5*rhoj(j)*Vj(j)*(1./(2.*kj(j) + sum))*minVl;
+	 //dt_j[j]= 0.5*rhoj(j)*Vj(j)*(1./(2.*kj(j) + sum))*minVl;
 	
       });
     
@@ -279,8 +279,9 @@ public:
 	  momentum_fluxes +=  Fl(l)*Cjr(j,R);
 	  energy_fluxes   += (Gl(l), Cjr(j,R));
 	}
-	uj[j] -= std::exp(-t)*(dt*inv_mj[j])*Vj(j)*Sj(j) + (dt*inv_mj[j]) * momentum_fluxes;
-       	Ej[j] -= (dt*inv_mj[j]) * energy_fluxes;
+	//uj[j] += std::exp(-t)*(dt*inv_mj[j])*Vj(j)*Sj(j) + (dt*inv_mj[j]) * momentum_fluxes;
+	uj[j] += (dt*inv_mj[j]) * momentum_fluxes;
+       	Ej[j] += (dt*inv_mj[j]) * energy_fluxes;
       });
 
     // Calcul de e par la formule e = E-0.5 u^2 
diff --git a/src/scheme/FiniteVolumesEulerUnknowns.hpp b/src/scheme/FiniteVolumesEulerUnknowns.hpp
index 77eb543034da57f98df83234c0b407fad887473a..e420de359d39351942ffab7ec001c84227101d14 100644
--- a/src/scheme/FiniteVolumesEulerUnknowns.hpp
+++ b/src/scheme/FiniteVolumesEulerUnknowns.hpp
@@ -228,8 +228,8 @@ void initializeSod()
       });
 
     Kokkos::parallel_for(m_mesh.numberOfCells(), KOKKOS_LAMBDA(const int& j){
-	//m_kj[j] = 2; // k constant
-	m_kj[j] = xj[j][0]; // k non constant, k = x
+	m_kj[j] = 2; // k constant
+	//m_kj[j] = xj[j][0]; // k non constant, k = x
       });
 
     Kokkos::parallel_for(m_mesh.numberOfCells(), KOKKOS_LAMBDA(const int& j){