diff --git a/src/main.cpp b/src/main.cpp
index 7065306c5d2ede69346ee0392613397ea355ba65..a25a9b1b833c269e1e87d804765836bd9dda5a4f 100644
--- a/src/main.cpp
+++ b/src/main.cpp
@@ -180,7 +180,7 @@ int main(int argc, char *argv[])
      
       // ETAPE 1 DU SPLITTING - EULER
       
-      double dt_euler = 0.4*acoustic_solver.acoustic_dt(Vj, cj);
+      double dt_euler = 0.1*acoustic_solver.acoustic_dt(Vj, cj);
 
       if (t+dt_euler > tmax) {
 	dt_euler = tmax-t;
@@ -192,7 +192,7 @@ int main(int argc, char *argv[])
       
       double dt_diff = 0.4*finite_volumes_diffusion.diffusion_dt(rhoj, kj, cj);
       double t_diff = t-dt_euler;
- 
+      
       if (dt_euler <= dt_diff) {
 	dt_diff = dt_euler;
 	finite_volumes_diffusion.computeNextStep(t_diff, dt_diff, unknowns);
@@ -207,6 +207,25 @@ int main(int argc, char *argv[])
 	}
       }
       
+      
+      // AUTRE APPROCHE DU SPLITTING (PLUS LONG)
+      /*
+      double dt_euler = 0.4*acoustic_solver.acoustic_dt(Vj, cj);
+      double dt_diff = 0.4*finite_volumes_diffusion.diffusion_dt(rhoj, kj, cj);
+      double dt = 0.;
+      if (dt_euler < dt_diff) {
+	dt = dt_euler;
+      } else {
+	dt = dt_diff;
+      }
+      if (t+dt > tmax) {
+	dt = tmax-t;
+      }
+      acoustic_solver.computeNextStep(t,dt, unknowns);
+      finite_volumes_diffusion.computeNextStep(t, dt, unknowns);
+      t += dt;
+      */
+
       // DIFFUSION PURE
       
       /*
diff --git a/src/scheme/FiniteVolumesDiffusion.hpp b/src/scheme/FiniteVolumesDiffusion.hpp
index 0bfa990ca8b4049de0a71c00504ef9e04dce8b81..ab50c2ea4a012981b868f749d23d955c58841b55 100644
--- a/src/scheme/FiniteVolumesDiffusion.hpp
+++ b/src/scheme/FiniteVolumesDiffusion.hpp
@@ -129,16 +129,16 @@ private:
     // Kidder
 
     // k = 0.5
-    //m_Fl(0,0) = -(t/((50./9.)-t*t))*0.5;
-    //m_Fl(m_mesh.numberOfFaces()-1,0) = -(t/((50./9.)-t*t))*0.5;
+    m_Fl(0,0) = -(t/((50./9.)-t*t))*0.5;
+    m_Fl(m_mesh.numberOfFaces()-1,0) = -(t/((50./9.)-t*t))*0.5;
 
     // k = x
     //m_Fl(0,0) = -(t/((50./9.)-t*t))*xr[0][0];
     //m_Fl(m_mesh.numberOfFaces()-1,0) = -(t/((50./9.)-t*t))*xr[m_mesh.numberOfFaces()-1][0];
 
-    double h = std::sqrt(1. - (t*t)/(50./9.));
-    m_Fl(0,0) = -(t/((50./9.)-t*t))*h*x0[0][0];
-    m_Fl(m_mesh.numberOfFaces()-1,0) = -(t/((50./9.)-t*t))*h*xmax[0][0];
+    //double h = std::sqrt(1. - (t*t)/(50./9.));
+    //m_Fl(0,0) = -(t/((50./9.)-t*t))*h*x0[0][0];
+    //m_Fl(m_mesh.numberOfFaces()-1,0) = -(t/((50./9.)-t*t))*h*xmax[0][0];
     
     return m_Fl ;
   }
@@ -346,11 +346,11 @@ public:
 	//uj[j] += std::exp(-t)*(dt*inv_mj[j])*Vj(j)*Sj(j) + (dt*inv_mj[j]) * momentum_fluxes; // test avec k non constant
 
 	// ajout second membre pour kidder (k = 0.5)
-	//Ej[j] -= (dt*inv_mj[j])*Vj(j)*((0.5*t*t)/(((50./9.)-t*t)*((50./9.)-t*t)));
+	Ej[j] -= (dt*inv_mj[j])*Vj(j)*((0.5*t*t)/(((50./9.)-t*t)*((50./9.)-t*t)));
 
 	// ajout second membre pour kidder (k = x)
-	uj[j][0] += (dt*inv_mj[j])*Vj(j)*(t/((50./9.)-t*t)); 
-	Ej[j] -= (dt*inv_mj[j])*Vj(j)*((2.*xj[j][0]*t*t)/(((50./9.)-t*t)*((50./9.)-t*t)));
+	//uj[j][0] += (dt*inv_mj[j])*Vj(j)*(t/((50./9.)-t*t)); 
+	//Ej[j] -= (dt*inv_mj[j])*Vj(j)*((2.*xj[j][0]*t*t)/(((50./9.)-t*t)*((50./9.)-t*t)));
 
       });
 
@@ -362,7 +362,8 @@ public:
     // Mise a jour de k
     
     Kokkos::parallel_for(m_mesh.numberOfCells(), KOKKOS_LAMBDA(const int& j) {
-	kj(j) = xj[j][0];
+	//kj(j) = xj[j][0];
+	kj(j) = 0.5;
 	/*
 	if (xj[j][0]<0.7) {
   	  kj[j]=0.;
@@ -534,7 +535,8 @@ public:
     Kokkos::parallel_for(m_mesh.numberOfCells(), KOKKOS_LAMBDA(const int& j){  	
 	entropy_new(j) = std::log(pj(j)*std::pow(rhoj(j),-gammaj(j)));
 	if (entropy_new(j) - entropy(j) < 0) {
-	  std::cout << "ATTENTION ENTROPIE NEGATIVE !";
+	  std::cout << "ATTENTION ENTROPIE NEGATIVE !" << std::endl;
+	  std::cout << "j = " << j << " difference = " << entropy_new(j) - entropy(j) << std::endl;
 	}
 	entropy(j) = std::log(pj(j)*std::pow(rhoj(j),-gammaj(j)));
       });
diff --git a/src/scheme/FiniteVolumesEulerUnknowns.hpp b/src/scheme/FiniteVolumesEulerUnknowns.hpp
index a5455c79938d323b0d90cf9bdc6d29b837355816..f9bccfe27aa3dbcd948cb367db98d54bd2428942 100644
--- a/src/scheme/FiniteVolumesEulerUnknowns.hpp
+++ b/src/scheme/FiniteVolumesEulerUnknowns.hpp
@@ -261,8 +261,8 @@ public:
       });
 
     Kokkos::parallel_for(m_mesh.numberOfCells(), KOKKOS_LAMBDA(const int& j){
-  	m_kj[j] =  xj[j][0];
-	//m_kj[j] = 0.5;
+  	//m_kj[j] =  xj[j][0];
+	m_kj[j] = 0.5;
 	/*
 	if (xj[j][0]<0.7) {
   	  m_kj[j]=0.;
@@ -280,8 +280,8 @@ public:
 
     m_uL[0] = zero;
     m_uR[0] = zero;
-    m_kL[0] = 0.;
-    m_kR[0] = 1.;
+    m_kL[0] = 0.5;
+    m_kR[0] = 0.5;
 
     Kokkos::parallel_for(m_mesh.numberOfCells(), KOKKOS_LAMBDA(const int& j){  	
 	m_entropy(j) = std::log(m_pj[j]*std::pow(m_rhoj[j],-m_gammaj[j]));