diff --git a/dumux/material/constraintsolvers/compositionalflash.hh b/dumux/material/constraintsolvers/compositionalflash.hh
index df78d758ca354e9ef663a0ceab21fc0fd1486fb0..0a3bff298622902380ef902e6cbfd38b14e36868 100644
--- a/dumux/material/constraintsolvers/compositionalflash.hh
+++ b/dumux/material/constraintsolvers/compositionalflash.hh
@@ -35,7 +35,16 @@ namespace Dumux {
  * \ingroup ConstraintSolver
  * \brief Flash calculation routines for compositional sequential models
  *
- *        Routines for isothermal and isobaric 2p2c and 1p2c flash.
+ * Routines for isothermal and isobaric 2p2c and 1p2c flash, assuming an ideal mixture.
+ * The flash assumes that the fugacities of a component \f$ \kappa \f$ in each phase
+ * are the same. The fugacity is defined as:
+ *
+ * \f$ f^\kappa = \Phi^\kappa_\alpha(T_\alpha, p_\alpha)  p_\alpha x^\kappa_\alpha\; \f$,
+ *
+ * where \f$ Phi^\kappa_\alpha \f$ is a fixed fugacity coefficient independent of the phase's composition
+ * (ideal mixture), \f$ T_\alpha \f$ is a fixed temperature, and \f$ p_\alpha \f$ a fixed phase pressure.
+ * From the equality of fugacities, the mole (and mass) fractions \f$ x^\kappa_\alpha \f$
+ * in equilibrium are calculated.
  */
 template <class Scalar, class FluidSystem>
 class CompositionalFlash
@@ -60,96 +69,93 @@ public:
  * \name Concentration flash for a given feed fraction
  */
 //@{
-    /*!
-     * \brief 2p2c Flash for constant p & t if concentrations (feed mass fraction) is given.
+    /*! \brief 2p2c Flash for constant p & T if concentration (feed mass fraction) is given.
+     *
+     * This flash uses the Rachford-Rice equation:
+     * Rachford Jr, H. H., & Rice, J. D. (1952).
+     * Procedure for use of electronic digital computers in calculating flash vaporization
+     * hydrocarbon equilibrium. Journal of Petroleum Technology, 4(10), 19-3.
      *
      * Routine goes as follows:
      * - determination of the equilibrium constants from the fluid system
      * - determination of maximum solubilities (mole fractions) according to phase pressures
-     * - comparison with Z1 to determine phase presence => phase mass fractions
-     * - round off fluid properties
+     * - comparison with phase mass fraction Nu (from Rachford-Rice equation)
+     *   to determine phase presence => actual mole and mass fractions
+     * - complete fluid state
      * \param fluidState The sequential fluid State
-     * \param Z1 Feed mass fraction: Mass of comp1 per total mass \f$\mathrm{[-]}\f$
+     * \param Z0 Feed mass fraction: Mass of first component per total mass \f$\mathrm{[-]}\f$
      * \param phasePressure Vector holding the pressure \f$\mathrm{[Pa]}\f$
      * \param porosity Porosity \f$\mathrm{[-]}\f$
      * \param temperature Temperature \f$\mathrm{[K]}\f$
      */
     template<class FluidState>
     static void concentrationFlash2p2c(FluidState &fluidState,
-                             const Scalar &Z1,
+                             const Scalar &Z0,
                              const PhaseVector &phasePressure,
                              const Scalar &porosity,
                              const Scalar &temperature)
     {
+#ifndef NDEBUG
+        // this solver can only handle fluid systems which
+        // assume ideal mixtures of all fluids.
+        for (int phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx) {
+            assert(FluidSystem::isIdealMixture(phaseIdx));
+
+        }
+#endif
+
         // set the temperature, pressure
         fluidState.setTemperature(temperature);
         fluidState.setPressure(phase0Idx, phasePressure[phase0Idx]);
         fluidState.setPressure(phase1Idx, phasePressure[phase1Idx]);
 
-        //mole equilibrium ratios K for in case wPhase is reference phase
-        double k1 = FluidSystem::fugacityCoefficient(fluidState, phase0Idx, comp0Idx);    // = p^wComp_vap
-        double k2 = FluidSystem::fugacityCoefficient(fluidState, phase0Idx, comp1Idx);    // = H^nComp_w
+        // mole equilibrium ratios k for in case first phase is reference phase
+        Scalar k10 = FluidSystem::fugacityCoefficient(fluidState, phase0Idx, comp0Idx) * fluidState.pressure(phase0Idx)
+                / (FluidSystem::fugacityCoefficient(fluidState, phase1Idx, comp0Idx) * fluidState.pressure(phase1Idx));
+        Scalar k11 = FluidSystem::fugacityCoefficient(fluidState, phase0Idx, comp1Idx) * fluidState.pressure(phase0Idx)
+                / (FluidSystem::fugacityCoefficient(fluidState, phase1Idx, comp1Idx) * fluidState.pressure(phase1Idx));
 
-        // get mole fraction from equilibrium konstants
-        fluidState.setMoleFraction(phase0Idx,comp0Idx, ((1. - k2) / (k1 -k2)));
-        fluidState.setMoleFraction(phase1Idx,comp0Idx, (fluidState.moleFraction(phase0Idx,comp0Idx) * k1));
+        // get mole fraction from equilibrium constants
+        fluidState.setMoleFraction(phase0Idx, comp0Idx, ((1. - k11) / (k10 - k11)));
+        fluidState.setMoleFraction(phase1Idx, comp0Idx, (fluidState.moleFraction(phase0Idx,comp0Idx) * k10));
 
         // transform mole to mass fractions
         fluidState.setMassFraction(phase0Idx, comp0Idx,
-                (fluidState.moleFraction(phase0Idx,comp0Idx) * FluidSystem::molarMass(comp0Idx)
-                / ( fluidState.moleFraction(phase0Idx,comp0Idx) * FluidSystem::molarMass(comp0Idx)
-                    + (1.-fluidState.moleFraction(phase0Idx,comp0Idx)) * FluidSystem::molarMass(comp1Idx) )));
-        fluidState.setMassFraction(phase1Idx,comp0Idx,
-                (fluidState.moleFraction(phase1Idx,comp0Idx) * FluidSystem::molarMass(comp0Idx)
-                / ( fluidState.moleFraction(phase1Idx,comp0Idx) * FluidSystem::molarMass(comp0Idx)
-                    + (1.-fluidState.moleFraction(phase1Idx,comp0Idx)) * FluidSystem::molarMass(comp1Idx) )));
-
-        //mass equilibrium ratios
-        Scalar equilRatio_[numPhases][numComponents];
-        equilRatio_[phase1Idx][comp0Idx] = fluidState.massFraction(phase1Idx,comp0Idx)
-                / fluidState.massFraction(phase0Idx, comp0Idx);     // = Xn1 / Xw1 = K1
-        equilRatio_[phase1Idx][comp1Idx] = (1.-fluidState.massFraction(phase1Idx, comp0Idx))
-                / (1.-fluidState.massFraction(phase0Idx, comp0Idx)); // =(1.-Xn1) / (1.-Xw1)     = K2
-        equilRatio_[phase0Idx][comp1Idx] = equilRatio_[phase0Idx][comp0Idx] = 1.;
-
-        // phase fraction of nPhase [mass/totalmass]
-        fluidState.setNu(phase1Idx, 0.);
-
-        // check if there is enough of component 1 to form a phase
-        if (Z1 > fluidState.massFraction(phase1Idx,comp0Idx)
-                             && Z1 < fluidState.massFraction(phase0Idx,comp0Idx))
-            fluidState.setNu(phase1Idx, -((equilRatio_[phase1Idx][comp0Idx]-1)*Z1 + (equilRatio_[phase1Idx][comp1Idx]-1)*(1-Z1))
-                                / (equilRatio_[phase1Idx][comp0Idx]-1) / (equilRatio_[phase1Idx][comp1Idx] -1));
-        else if (Z1 <= fluidState.massFraction(phase1Idx,comp0Idx)) // too little wComp to form a phase
+                (fluidState.moleFraction(phase0Idx, comp0Idx) * FluidSystem::molarMass(comp0Idx)
+                / ( fluidState.moleFraction(phase0Idx, comp0Idx) * FluidSystem::molarMass(comp0Idx)
+                    + (1. - fluidState.moleFraction(phase0Idx, comp0Idx)) * FluidSystem::molarMass(comp1Idx))));
+        fluidState.setMassFraction(phase1Idx, comp0Idx,
+                (fluidState.moleFraction(phase1Idx, comp0Idx) * FluidSystem::molarMass(comp0Idx)
+                / ( fluidState.moleFraction(phase1Idx, comp0Idx) * FluidSystem::molarMass(comp0Idx)
+                    + (1. - fluidState.moleFraction(phase1Idx, comp0Idx)) * FluidSystem::molarMass(comp1Idx))));
+
+        // mass equilibrium ratios K for in case first phase is reference phase
+        Scalar K10 = fluidState.massFraction(phase1Idx, comp0Idx) / fluidState.massFraction(phase0Idx, comp0Idx);
+        Scalar K11 = (1. - fluidState.massFraction(phase1Idx, comp0Idx)) / (1. - fluidState.massFraction(phase0Idx, comp0Idx));
+
+        // phase mass fraction Nu (ratio of phase mass to total phase mass) of first phase
+        Scalar Nu0 = 1. + ((Z0 * (K10 - 1.)) + ((1. - Z0) * (K11 - 1.))) / ((K11 - 1.) * (K10 - 1.));
+
+        // check phase presence
+        if (Nu0 > 0. && Nu0 < 1.) // two phases present
+            fluidState.setNu(phase0Idx, Nu0);
+        else if (Nu0 <= 0.) // only second phase present
         {
-            fluidState.setNu(phase1Idx, 1.); // only nPhase
-            fluidState.setMassFraction(phase1Idx,comp0Idx, Z1); // hence, assign complete mass dissolved into nPhase
-
-            // store as moleFractions
-            Scalar xw_n = Z1 /*=Xw_n*/ / FluidSystem::molarMass(comp0Idx);  // = moles of compIdx
-            xw_n /= ( Z1 /*=Xw_n*/ / FluidSystem::molarMass(comp0Idx)
-                    +(1- Z1 /*=Xn_n*/) / FluidSystem::molarMass(comp1Idx) ); // /= total moles in phase
-
-            fluidState.setMoleFraction(phase1Idx,comp0Idx, xw_n);
+            fluidState.setNu(phase0Idx, 0.);
+            fluidState.setMassFraction(phase1Idx,comp0Idx, Z0); // assign complete mass dissolved into second phase
 
-//            // opposing non-present phase is already set to equilibrium mass fraction
-//            fluidState.setMassFraction(phase0Idx,comp0Idx, 1.); // non present phase is set to be pure
-//            fluidState.setMoleFraction(phase0Idx,comp0Idx, 1.); // non present phase is set to be pure
+            // transform and store as mole fraction
+            fluidState.setMoleFraction(phase1Idx,comp0Idx,
+                                       (Z0 / FluidSystem::molarMass(comp0Idx)) / ((Z0 / FluidSystem::molarMass(comp0Idx)) + ((1- Z0) / FluidSystem::molarMass(comp1Idx))));
         }
-        else    // (Z1 >= Xw1) => no nPhase
+        else // only first phase present
         {
-            fluidState.setNu(phase1Idx, 0.); // no second phase
-            fluidState.setMassFraction(phase0Idx, comp0Idx, Z1);
-
-            // store as moleFractions
-            Scalar xw_w = Z1 /*=Xw_w*/ / FluidSystem::molarMass(comp0Idx);  // = moles of compIdx
-            xw_w /= ( Z1 /*=Xw_w*/ / FluidSystem::molarMass(comp0Idx)
-                    +(1- Z1 /*=Xn_w*/) / FluidSystem::molarMass(comp1Idx) ); // /= total moles in phase
-            fluidState.setMoleFraction(phase0Idx, comp0Idx, xw_w);
-
-//            // opposing non-present phase is already set to equilibrium mass fraction
-//            fluidState.setMassFraction(phase1Idx,comp0Idx, 0.); // non present phase is set to be pure
-//            fluidState.setMoleFraction(phase1Idx,comp0Idx, 0.); // non present phase is set to be pure
+            fluidState.setNu(phase0Idx, 1.); // no second phase
+            fluidState.setMassFraction(phase0Idx, comp0Idx, Z0); // assign complete mass dissolved into first phase
+
+            // transform and store as mole fraction
+            fluidState.setMoleFraction(phase0Idx, comp0Idx,
+                                       (Z0 / FluidSystem::molarMass(comp0Idx)) / ((Z0 / FluidSystem::molarMass(comp0Idx)) + ((1- Z0) / FluidSystem::molarMass(comp1Idx))));
         }
 
         // complete array of mass fractions
@@ -160,7 +166,7 @@ public:
         fluidState.setMoleFraction(phase1Idx, comp1Idx, 1. - fluidState.moleFraction(phase1Idx,comp0Idx));
 
         // complete phase mass fractions
-        fluidState.setNu(phase0Idx, 1. - fluidState.phaseMassFraction(phase1Idx));
+        fluidState.setNu(phase1Idx, 1. - fluidState.phaseMassFraction(phase0Idx));
 
         // get densities with correct composition
         fluidState.setDensity(phase0Idx, FluidSystem::density(fluidState, phase0Idx));
@@ -169,8 +175,8 @@ public:
         fluidState.setMolarDensity(phase1Idx, FluidSystem::molarDensity(fluidState, phase1Idx));
 
         Scalar sw = fluidState.phaseMassFraction(phase0Idx) / fluidState.density(phase0Idx);
-        sw /= (fluidState.phaseMassFraction(phase0Idx)/fluidState.density(phase0Idx)
-                    + fluidState.phaseMassFraction(phase1Idx)/fluidState.density(phase1Idx));
+        sw /= (fluidState.phaseMassFraction(phase0Idx) / fluidState.density(phase0Idx)
+                    + fluidState.phaseMassFraction(phase1Idx) / fluidState.density(phase1Idx));
         fluidState.setSaturation(phase0Idx, sw);
     }
 
@@ -178,16 +184,17 @@ public:
      * \brief The simplest possible update routine for 1p2c "flash" calculations
      *
      * Routine goes as follows:
-     * - Check if we are in single phase condition
-     * - Assign total concentration to the present phase
+     * - check if we are in single phase condition
+     * - assign total concentration to the present phase
+     * - complete fluid state
      *
      * \param fluidState The sequential fluid state
-     * \param Z1 Feed mass fraction \f$\mathrm{[-]}\f$
+     * \param Z0 Feed mass fraction: Mass of first component per total mass \f$\mathrm{[-]}\f$
      * \param phasePressure Vector holding the pressure \f$\mathrm{[Pa]}\f$
      * \param presentPhaseIdx Subdomain Index = Indication which phase is present
      * \param temperature Temperature \f$\mathrm{[K]}\f$
      */
-    static void concentrationFlash1p2c(FluidState1p2c& fluidState, const Scalar& Z1,const Dune::FieldVector<Scalar,numPhases>
+    static void concentrationFlash1p2c(FluidState1p2c& fluidState, const Scalar& Z0,const Dune::FieldVector<Scalar,numPhases>
                                        phasePressure,const int presentPhaseIdx, const Scalar& temperature)
     {
         // set the temperature, pressure
@@ -196,47 +203,15 @@ public:
         fluidState.setPressure(phase1Idx, phasePressure[phase1Idx]);
 
         fluidState.setPresentPhaseIdx(presentPhaseIdx);
-        fluidState.setMassFraction(presentPhaseIdx,comp0Idx, Z1);
-
-        // calculate mole fraction and average molar mass
-        Scalar xw_alpha= Z1 / FluidSystem::molarMass(comp0Idx);
-        xw_alpha /= ( Z1 / FluidSystem::molarMass(comp0Idx)
-                + (1.-Z1) / FluidSystem::molarMass(comp1Idx));
-        fluidState.setMoleFraction(presentPhaseIdx, comp0Idx, xw_alpha);
-
-//        if (presentPhaseIdx == phase0Idx)
-//        {
-//
-////            fluidState.setMassFraction(phase0Idx,comp0Idx, 0.;
-//
-//
-//
-//
-//
-////            fluidState.moleFractionWater_[phase1Idx] = 0.;
-//
-//            fluidState.setPresentPhaseIdx(presentPhaseIdx);
-//        }
-//        else if (presentPhaseIdx == phase1Idx)
-//        {
-//            fluidState.setMassFraction[phase0Idx] = 0.;
-//            fluidState.setMassFraction[phase1Idx] = Z1;
-//
-//            // interested in nComp => 1-X1
-//            fluidState.moleFractionWater_[phase1Idx] = ( Z1 / FluidSystem::molarMass(0) );   // = moles of compIdx
-//            fluidState.moleFractionWater_[phase1Idx] /= (Z1/ FluidSystem::molarMass(0)
-//                           + (1.-Z1) / FluidSystem::molarMass(1) );    // /= total moles in phase
-//            fluidState.moleFractionWater_[phase1Idx] = 0.;
-//
-//            fluidState.presentPhaseIdx_ = phase1Idx;
-//        }
-//        else
-//            Dune::dgrave << __FILE__ <<": Twophase conditions in single-phase flash!"
-//                << " Z1 is "<<Z1<< std::endl;
+        fluidState.setMassFraction(presentPhaseIdx,comp0Idx, Z0);
+
+        // transform mass to mole fractions
+        fluidState.setMoleFraction(presentPhaseIdx, comp0Idx, Z0 / FluidSystem::molarMass(comp0Idx)
+                / (Z0 / FluidSystem::molarMass(comp0Idx) + (1. - Z0) / FluidSystem::molarMass(comp1Idx)));
 
         fluidState.setAverageMolarMass(presentPhaseIdx,
-                fluidState.massFraction(presentPhaseIdx, comp0Idx)*FluidSystem::molarMass(comp0Idx)
-                +fluidState.massFraction(presentPhaseIdx, comp1Idx)*FluidSystem::molarMass(comp1Idx));
+                fluidState.massFraction(presentPhaseIdx, comp0Idx) * FluidSystem::molarMass(comp0Idx)
+                + fluidState.massFraction(presentPhaseIdx, comp1Idx) * FluidSystem::molarMass(comp1Idx));
 
         fluidState.setDensity(presentPhaseIdx, FluidSystem::density(fluidState, presentPhaseIdx));
         fluidState.setMolarDensity(presentPhaseIdx, FluidSystem::molarDensity(fluidState, presentPhaseIdx));
@@ -247,13 +222,12 @@ public:
  * \name Saturation flash for a given saturation (e.g. at boundary)
  */
 //@{
-    /*!
-     * \brief A flash routine for 2p2c systems if the saturation instead of total concentration is known.
+    /*! \brief 2p2c flash for constant p & T if the saturation instead of concentration (feed mass fraction) is known.
      *
      * Routine goes as follows:
      * - determination of the equilibrium constants from the fluid system
      * - determination of maximum solubilities (mole fractions) according to phase pressures
-     * - round off fluid properties
+     * - complete fluid state
      * \param fluidState The sequential fluid state
      * \param saturation Saturation of phase 1 \f$\mathrm{[-]}\f$
      * \param phasePressure Vector holding the pressure \f$\mathrm{[Pa]}\f$
@@ -267,32 +241,39 @@ public:
             const Scalar &porosity,
             const Scalar &temperature)
     {
+#ifndef NDEBUG
+        // this solver can only handle fluid systems which
+        // assume ideal mixtures of all fluids.
+        for (int phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx) {
+            assert(FluidSystem::isIdealMixture(phaseIdx));
+
+        }
+#endif
+
         // set the temperature, pressure
         fluidState.setTemperature(temperature);
         fluidState.setPressure(phase0Idx, phasePressure[phase0Idx]);
         fluidState.setPressure(phase1Idx, phasePressure[phase1Idx]);
 
-        //in contrast to the standard update() method, satflash() does not calculate nu.
-        fluidState.setNu(phase0Idx, NAN);
-        fluidState.setNu(phase1Idx, NAN);
-
-        //mole equilibrium ratios K for in case wPhase is reference phase
-        double k1 = FluidSystem::fugacityCoefficient(fluidState, phase0Idx, comp0Idx);    // = p^wComp_vap
-        double k2 = FluidSystem::fugacityCoefficient(fluidState, phase0Idx, comp1Idx);    // = H^nComp_w
+        // mole equilibrium ratios k for in case first phase is reference phase
+        Scalar k10 = FluidSystem::fugacityCoefficient(fluidState, phase0Idx, comp0Idx) * fluidState.pressure(phase0Idx)
+                / (FluidSystem::fugacityCoefficient(fluidState, phase1Idx, comp0Idx) * fluidState.pressure(phase1Idx));
+        Scalar k11 = FluidSystem::fugacityCoefficient(fluidState, phase0Idx, comp1Idx) * fluidState.pressure(phase0Idx)
+                / (FluidSystem::fugacityCoefficient(fluidState, phase1Idx, comp1Idx) * fluidState.pressure(phase1Idx));
 
-        // get mole fraction from equilibrium konstants
-        fluidState.setMoleFraction(phase0Idx,comp0Idx, ((1. - k2) / (k1 -k2)));
-        fluidState.setMoleFraction(phase1Idx,comp0Idx, (fluidState.moleFraction(phase0Idx,comp0Idx) * k1));
+        // get mole fraction from equilibrium constants
+        fluidState.setMoleFraction(phase0Idx,comp0Idx, ((1. - k11) / (k10 - k11)));
+        fluidState.setMoleFraction(phase1Idx,comp0Idx, (fluidState.moleFraction(phase0Idx,comp0Idx) * k10));
 
         // transform mole to mass fractions
         fluidState.setMassFraction(phase0Idx, comp0Idx,
                 (fluidState.moleFraction(phase0Idx,comp0Idx) * FluidSystem::molarMass(comp0Idx)
                 / ( fluidState.moleFraction(phase0Idx,comp0Idx) * FluidSystem::molarMass(comp0Idx)
-                    + (1.-fluidState.moleFraction(phase0Idx,comp0Idx)) * FluidSystem::molarMass(comp1Idx) )));
+                    + (1. - fluidState.moleFraction(phase0Idx,comp0Idx)) * FluidSystem::molarMass(comp1Idx))));
         fluidState.setMassFraction(phase1Idx,comp0Idx,
                 (fluidState.moleFraction(phase1Idx,comp0Idx) * FluidSystem::molarMass(comp0Idx)
                 / ( fluidState.moleFraction(phase1Idx,comp0Idx) * FluidSystem::molarMass(comp0Idx)
-                    + (1.-fluidState.moleFraction(phase1Idx,comp0Idx)) * FluidSystem::molarMass(comp1Idx) )));
+                    + (1. - fluidState.moleFraction(phase1Idx,comp0Idx)) * FluidSystem::molarMass(comp1Idx))));
 
         // complete array of mass fractions
         fluidState.setMassFraction(phase0Idx, comp1Idx, 1. - fluidState.massFraction(phase0Idx,comp0Idx));
diff --git a/dumux/porousmediumflow/2p2c/sequential/fvpressure.hh b/dumux/porousmediumflow/2p2c/sequential/fvpressure.hh
index 5f17f75288597aefd6528aeac1cc4e0f0a1b813c..610eed39a73ec7984d6fac4fbc780c0c5f8b2c11 100644
--- a/dumux/porousmediumflow/2p2c/sequential/fvpressure.hh
+++ b/dumux/porousmediumflow/2p2c/sequential/fvpressure.hh
@@ -919,23 +919,23 @@ void FVPressure2P2C<TypeTag>::updateMaterialLawsInElement(const Element& element
     if(postTimeStep)
         cellData.reset();
 
-    // get the overall mass of component 1 Z1 = C^k / (C^1+C^2) [-]
-    Scalar Z1 = cellData.massConcentration(wCompIdx)
+    // get the overall mass of first component Z0 = C^0 / (C^0+C^1) [-]
+    Scalar Z0 = cellData.massConcentration(wCompIdx)
             / (cellData.massConcentration(wCompIdx)
                     + cellData.massConcentration(nCompIdx));
 
     // make shure only physical quantities enter flash calculation
-    if(Z1 < 0. || Z1 > 1.)
+    if(Z0 < 0. || Z0 > 1.)
     {
-        Dune::dgrave << "Feed mass fraction unphysical: Z1 = " << Z1
+        Dune::dgrave << "Feed mass fraction unphysical: Z0 = " << Z0
                << " at global Idx " << eIdxGlobal
                << " , because totalConcentration(wCompIdx) = "
                << cellData.totalConcentration(wCompIdx)
                << " and totalConcentration(nCompIdx) = "
                << cellData.totalConcentration(nCompIdx)<< std::endl;
-        if(Z1 < 0.)
+        if(Z0 < 0.)
             {
-            Z1 = 0.;
+            Z0 = 0.;
             cellData.setTotalConcentration(wCompIdx, 0.);
             problem().transportModel().totalConcentration(wCompIdx, eIdxGlobal) = 0.;
             Dune::dgrave << "Regularize totalConcentration(wCompIdx) = "
@@ -943,7 +943,7 @@ void FVPressure2P2C<TypeTag>::updateMaterialLawsInElement(const Element& element
             }
         else
             {
-            Z1 = 1.;
+            Z0 = 1.;
             cellData.setTotalConcentration(nCompIdx, 0.);
             problem().transportModel().totalConcentration(nCompIdx,eIdxGlobal) = 0.;
             Dune::dgrave << "Regularize totalConcentration(eIdxGlobal, nCompIdx) = "
@@ -973,7 +973,7 @@ void FVPressure2P2C<TypeTag>::updateMaterialLawsInElement(const Element& element
 
     //complete fluid state
     CompositionalFlash<Scalar, FluidSystem> flashSolver;
-    flashSolver.concentrationFlash2p2c(fluidState,  Z1, pressure, problem().spatialParams().porosity(elementI), temperature_);
+    flashSolver.concentrationFlash2p2c(fluidState,  Z0, pressure, problem().spatialParams().porosity(elementI), temperature_);
 
     // iterations part in case of enabled capillary pressure
     Scalar pc(0.), oldPc(0.);
@@ -1006,7 +1006,7 @@ void FVPressure2P2C<TypeTag>::updateMaterialLawsInElement(const Element& element
             //store old pc
             oldPc = pc;
             //update with better pressures
-            flashSolver.concentrationFlash2p2c(fluidState, Z1, pressure,
+            flashSolver.concentrationFlash2p2c(fluidState, Z0, pressure,
                     problem().spatialParams().porosity(elementI), problem().temperatureAtPos(globalPos));
             pc = MaterialLaw::pc(problem().spatialParams().materialLawParams(elementI),
                                 fluidState.saturation(wPhaseIdx));
diff --git a/dumux/porousmediumflow/2p2c/sequential/fvpressurecompositional.hh b/dumux/porousmediumflow/2p2c/sequential/fvpressurecompositional.hh
index 0badb7ec78487a677ce6052172e3e98733b8bb5d..8f881ca7d034a19f7bd31e3c1646418343d0ada9 100644
--- a/dumux/porousmediumflow/2p2c/sequential/fvpressurecompositional.hh
+++ b/dumux/porousmediumflow/2p2c/sequential/fvpressurecompositional.hh
@@ -566,8 +566,8 @@ void FVPressureCompositional<TypeTag>::initialMaterialLaws(bool compositional)
             }
             else if (icFormulation == Indices::concentration) // concentration initial condition
             {
-                Scalar Z1_0 = problem_.initConcentration(element);
-                flashSolver.concentrationFlash2p2c(fluidState, Z1_0, pressure,
+                Scalar Z0 = problem_.initConcentration(element);
+                flashSolver.concentrationFlash2p2c(fluidState, Z0, pressure,
                         problem_.spatialParams().porosity(element), temperature_);
             }
         }
@@ -607,7 +607,7 @@ void FVPressureCompositional<TypeTag>::initialMaterialLaws(bool compositional)
             }
             else if (icFormulation == Indices::concentration) // concentration initial condition
             {
-                Scalar Z1_0 = problem_.initConcentration(element);
+                Scalar Z0 = problem_.initConcentration(element);
                 // If total concentrations are given at the boundary, saturation is unknown.
                 // This may affect pc and hence p_alpha and hence again saturation -> iteration.
 
@@ -641,7 +641,7 @@ void FVPressureCompositional<TypeTag>::initialMaterialLaws(bool compositional)
                         //store old pc
                         Scalar oldPc = pc;
                         //update with better pressures
-                        flashSolver.concentrationFlash2p2c(fluidState, Z1_0, pressure,
+                        flashSolver.concentrationFlash2p2c(fluidState, Z0, pressure,
                                 problem_.spatialParams().porosity(element), problem_.temperatureAtPos(globalPos));
                         pc = MaterialLaw::pc(problem_.spatialParams().materialLawParams(element),
                                             fluidState.saturation(wPhaseIdx));
@@ -659,7 +659,7 @@ void FVPressureCompositional<TypeTag>::initialMaterialLaws(bool compositional)
                 {
                     pressure[wPhaseIdx] = pressure[nPhaseIdx]
                         = this->pressure()[eIdxGlobal];
-                    flashSolver.concentrationFlash2p2c(fluidState, Z1_0,
+                    flashSolver.concentrationFlash2p2c(fluidState, Z0,
                             pressure, problem_.spatialParams().porosity(element), temperature_);
                 }
             } //end conc initial condition
@@ -803,8 +803,8 @@ void FVPressureCompositional<TypeTag>::volumeDerivatives(const GlobalPosition& g
     // numerical derivative of fluid volume with respect to pressure
     PhaseVector p_(incp);
     p_ += pressure;
-    Scalar Z1 = mass[0] / mass.one_norm();
-    flashSolver.concentrationFlash2p2c(updFluidState, Z1,
+    Scalar Z0 = mass[0] / mass.one_norm();
+    flashSolver.concentrationFlash2p2c(updFluidState, Z0,
             p_, problem_.spatialParams().porosity(element), temperature_);
 
     specificVolume=0.; // = \sum_{\alpha} \nu_{\alpha} / \rho_{\alpha}
@@ -818,7 +818,7 @@ void FVPressureCompositional<TypeTag>::volumeDerivatives(const GlobalPosition& g
         Dune::dinfo << "dv_dp larger 0 at Idx " << eIdxGlobal << " , try and invert secant"<< std::endl;
 
         p_ -= 2*incp;
-        flashSolver.concentrationFlash2p2c(updFluidState, Z1,
+        flashSolver.concentrationFlash2p2c(updFluidState, Z0,
                     p_, problem_.spatialParams().porosity(element), temperature_);
 
         specificVolume=0.; // = \sum_{\alpha} \nu_{\alpha} / \rho_{\alpha}
@@ -831,7 +831,7 @@ void FVPressureCompositional<TypeTag>::volumeDerivatives(const GlobalPosition& g
         {
             Dune::dwarn << "dv_dp still larger 0 after inverting secant at idx"<< eIdxGlobal<< std::endl;
             p_ += 2*incp;
-            flashSolver.concentrationFlash2p2c(updFluidState, Z1,
+            flashSolver.concentrationFlash2p2c(updFluidState, Z0,
                         p_, problem_.spatialParams().porosity(element), temperature_);
             // neglect effects of phase split, only regard changes in phase densities
             specificVolume=0.; // = \sum_{\alpha} \nu_{\alpha} / \rho_{\alpha}
@@ -851,9 +851,9 @@ void FVPressureCompositional<TypeTag>::volumeDerivatives(const GlobalPosition& g
     for (int compIdx = 0; compIdx<numComponents; compIdx++)
     {
         mass[compIdx] +=  massIncrement[compIdx];
-        Z1 = mass[0] / mass.one_norm();
+        Z0 = mass[0] / mass.one_norm();
 
-        flashSolver.concentrationFlash2p2c(updFluidState, Z1,
+        flashSolver.concentrationFlash2p2c(updFluidState, Z0,
                 pressure, problem_.spatialParams().porosity(element), temperature_);
 
         specificVolume=0.; // = \sum_{\alpha} \nu_{\alpha} / \rho_{\alpha}
diff --git a/dumux/porousmediumflow/2p2c/sequential/fvpressuremultiphysics.hh b/dumux/porousmediumflow/2p2c/sequential/fvpressuremultiphysics.hh
index 81c92a3acff159dd91246c5d46a7b5954edcd0f5..83ec75b1e1688d97920a6617e88bc5f0832e81bd 100644
--- a/dumux/porousmediumflow/2p2c/sequential/fvpressuremultiphysics.hh
+++ b/dumux/porousmediumflow/2p2c/sequential/fvpressuremultiphysics.hh
@@ -425,11 +425,11 @@ void FVPressure2P2CMultiPhysics<TypeTag>::get1pStorage(Dune::FieldVector<Scalar,
         p_[wPhaseIdx] += cellDataI.pressure(wPhaseIdx);
 
         Scalar sumC = (cellDataI.massConcentration(wCompIdx) + cellDataI.massConcentration(nCompIdx));
-        Scalar Z1 = cellDataI.massConcentration(wCompIdx) / sumC;
+        Scalar Z0 = cellDataI.massConcentration(wCompIdx) / sumC;
         // initialize simple fluidstate object
         PseudoOnePTwoCFluidState<Scalar, FluidSystem> pseudoFluidState;
         CompositionalFlash<Scalar, FluidSystem> flashSolver;
-        flashSolver.concentrationFlash1p2c(pseudoFluidState, Z1, p_, cellDataI.subdomain(),
+        flashSolver.concentrationFlash1p2c(pseudoFluidState, Z0, p_, cellDataI.subdomain(),
                 cellDataI.temperature(wPhaseIdx));
 
         Scalar v_ = 1. / pseudoFluidState.density(presentPhaseIdx);
@@ -441,7 +441,7 @@ void FVPressure2P2CMultiPhysics<TypeTag>::get1pStorage(Dune::FieldVector<Scalar,
             Dune::dinfo << "dv_dp larger 0 at Idx " << eIdxGlobalI << " , try and invert secant"<< std::endl;
 
             p_ -= 2*incp;
-            flashSolver.concentrationFlash1p2c(pseudoFluidState, Z1, p_, cellDataI.subdomain(),
+            flashSolver.concentrationFlash1p2c(pseudoFluidState, Z0, p_, cellDataI.subdomain(),
                     cellDataI.temperature(wPhaseIdx));
             v_ = 1. / pseudoFluidState.density(presentPhaseIdx);
             cellDataI.dv_dp() = (sumC * ( v_ - (1. /cellDataI.density(presentPhaseIdx)))) /incp;
@@ -950,13 +950,13 @@ void FVPressure2P2CMultiPhysics<TypeTag>::update1pMaterialLawsInElement(const El
         pressure[nPhaseIdx] = this->pressure(eIdxGlobal);
     }
 
-    // get the overall mass of component 1:  Z1 = C^k / (C^1+C^2) [-]
+    // get the overall mass of first component:  Z0 = C^0 / (C^0+C^1) [-]
     Scalar sumConc = cellData.massConcentration(wCompIdx)
             + cellData.massConcentration(nCompIdx);
-    Scalar Z1 = cellData.massConcentration(wCompIdx)/ sumConc;
+    Scalar Z0 = cellData.massConcentration(wCompIdx)/ sumConc;
 
     CompositionalFlash<Scalar, FluidSystem> flashSolver;
-    flashSolver.concentrationFlash1p2c(pseudoFluidState, Z1, pressure, presentPhaseIdx, problem().temperatureAtPos(globalPos));
+    flashSolver.concentrationFlash1p2c(pseudoFluidState, Z0, pressure, presentPhaseIdx, problem().temperatureAtPos(globalPos));
 
     // write stuff in fluidstate
     assert(presentPhaseIdx == pseudoFluidState.presentPhaseIdx());
diff --git a/dumux/porousmediumflow/2p2c/sequential/fvtransport.hh b/dumux/porousmediumflow/2p2c/sequential/fvtransport.hh
index 8e713b11f1ece326e3938795924aff7e47ba9dc1..0ad6215e1a6002c4672592ff665140b834612e9f 100644
--- a/dumux/porousmediumflow/2p2c/sequential/fvtransport.hh
+++ b/dumux/porousmediumflow/2p2c/sequential/fvtransport.hh
@@ -1153,8 +1153,8 @@ void FVTransport2P2C<TypeTag>::evalBoundary(GlobalPosition globalPosFace,
     {
         // saturation and hence pc and hence corresponding pressure unknown
         pressBound[wPhaseIdx] = pressBound[nPhaseIdx] = primaryVariablesOnBoundary[Indices::pressureEqIdx];
-        Scalar Z1Bound = primaryVariablesOnBoundary[contiWEqIdx];
-        flashSolver.concentrationFlash2p2c(BCfluidState, Z1Bound, pressBound,
+        Scalar Z0Bound = primaryVariablesOnBoundary[contiWEqIdx];
+        flashSolver.concentrationFlash2p2c(BCfluidState, Z0Bound, pressBound,
             problem().spatialParams().porosity(element), problem().temperatureAtPos(globalPosFace));
 
         if(GET_PROP_VALUE(TypeTag, EnableCapillarity))
@@ -1187,7 +1187,7 @@ void FVTransport2P2C<TypeTag>::evalBoundary(GlobalPosition globalPosFace,
                 //store old pc
                 Scalar oldPc = pcBound;
                 //update with better pressures
-                flashSolver.concentrationFlash2p2c(BCfluidState, Z1Bound, pressBound,
+                flashSolver.concentrationFlash2p2c(BCfluidState, Z0Bound, pressBound,
                         problem().spatialParams().porosity(element), problem().temperatureAtPos(globalPosFace));
                 pcBound = MaterialLaw::pc(problem().spatialParams().materialLawParams(element),
                         BCfluidState.saturation(wPhaseIdx));
diff --git a/test/references/test_adaptive2p2c2d-reference.vtu b/test/references/test_adaptive2p2c2d-reference.vtu
index a6725cf06bb07ff1d2eef52ac5ba2600caaa56fa..da4d622753081131949d5221f195c87257a67290 100644
--- a/test/references/test_adaptive2p2c2d-reference.vtu
+++ b/test/references/test_adaptive2p2c2d-reference.vtu
@@ -4,36 +4,36 @@
     <Piece NumberOfCells="163" NumberOfPoints="194">
       <CellData Scalars="wetting pressure">
         <DataArray type="Float32" Name="wetting pressure" NumberOfComponents="1" format="ascii">
-          265459 270494 271906 270818 267733 262836 256086 247236 235756 220558 261911 264310
-          264599 263007 259738 254882 248380 240058 229668 217044 260165 260236 259173 256873
-          253332 248574 242493 234950 225815 215374 259056 257296 254983 251983 231437 223267
-          214388 258198 254910 251480 221430 213678 257402 252666 248141 219429 212949 256524
-          250213 244496 216748 212017 255382 247164 240096 234325 216944 213307 210766 253600
-          242966 234400 227622 222309 217824 213787 210569 208773 208884 250029 236701 226916
-          219456 213640 208964 205239 202777 202333 205258 250399 248326 245960 248016 249762
-          247899 245933 247825 245905 243919 242217 244030 241783 239479 238001 240200 242074
-          240354 238300 239996 238500 236442 234635 236554 246025 243483 241322 243746 245946
-          243971 241920 243970 236975 234309 233073 235616 237769 236057 233620 235401 234197
-          231792 230325 232544 234368 232563 230248 231946 240640 237526 235714 238650 241897
-          239732 237332 239562 231590 227851 226866 230384 230604 228515 225643 228366 232658
-          230903 227289 229198 229206 225646 223872 227475 229227 227143 223017 225312 225262
-          221977 219665 222571 224773 222176 218494 220778
+          265458 270492 271903 270814 267728 262830 256080 247231 235753 220556 261911 264308
+          264596 263003 259733 254875 248373 240052 229664 217043 260165 260234 259169 256869
+          253326 248567 242484 234941 225809 215372 259056 257294 254979 251978 231423 223258
+          214385 258197 254908 251476 221419 213674 257401 252664 248136 219418 212945 256523
+          250209 244491 216738 212014 255381 247160 240090 234315 216931 213299 210763 253599
+          242962 234393 227613 222297 217810 213773 210558 208765 208881 250028 236697 226909
+          219447 213628 208951 205227 202767 202326 205255 250394 248320 245954 248011 249758
+          247894 245928 247821 245900 243914 242212 244025 241777 239470 237992 240194 242068
+          240348 238292 239989 238493 236431 234621 236544 246018 243475 241313 243739 245941
+          243965 241913 243964 236961 234289 233053 235602 237759 236046 233607 235388 234181
+          231771 230302 232526 234354 232545 230226 231929 240630 237514 235699 238638 241890
+          239724 237322 239554 231564 227833 226847 230359 230583 228495 225624 228345 232645
+          230889 227275 229186 229182 225627 223855 227454 229209 227124 223000 225296 225243
+          221962 219651 222553 224755 222159 218479 220761
         </DataArray>
         <DataArray type="Float32" Name="nonwetting pressure" NumberOfComponents="1" format="ascii">
-          265459 270494 271906 270818 267733 262836 256086 247236 235756 220558 261911 264310
-          264599 263007 259738 254882 248380 240058 229668 217044 260165 260236 259173 256873
-          253332 248574 242493 234950 225815 215374 259056 257296 254983 251983 231437 223267
-          214388 258198 254910 251480 221430 213678 257402 252666 248141 219429 212949 256524
-          250213 244496 216748 212017 255382 247164 240096 234325 216944 213307 210766 253600
-          242966 234400 227622 222309 217824 213787 210569 208773 208884 250029 236701 226916
-          219456 213640 208964 205239 202777 202333 205258 250399 248326 245960 248016 249762
-          247899 245933 247825 246327 244504 242975 244610 242147 239709 238374 240729 242415
-          240863 238645 240195 238945 236797 234932 236899 246025 243483 241322 243746 245946
-          243971 241920 243970 237126 234411 233264 235884 237886 236290 233770 235463 234471
-          231994 230490 232784 234626 232799 230410 232130 240640 237526 235714 238650 241897
-          239732 237332 239562 231611 227851 226866 230490 230795 228604 225643 228459 232658
-          230971 227289 229198 229311 225646 223872 227475 229313 227143 223017 225312 225262
-          221977 219665 222571 224773 222176 218494 220778
+          265458 270492 271903 270814 267728 262830 256080 247231 235753 220556 261911 264308
+          264596 263003 259733 254875 248373 240052 229664 217043 260165 260234 259169 256869
+          253326 248567 242484 234941 225809 215372 259056 257294 254979 251978 231423 223258
+          214385 258197 254908 251476 221419 213674 257401 252664 248136 219418 212945 256523
+          250209 244491 216738 212014 255381 247160 240090 234315 216931 213299 210763 253599
+          242962 234393 227613 222297 217810 213773 210558 208765 208881 250028 236697 226909
+          219447 213628 208951 205227 202767 202326 205255 250394 248320 245954 248011 249758
+          247894 245928 247821 246322 244499 242970 244605 242141 239700 238365 240723 242410
+          240857 238637 240188 238938 236786 234918 236888 246018 243475 241313 243739 245941
+          243965 241913 243964 237113 234391 233244 235870 237876 236279 233756 235450 234455
+          231973 230467 232765 234612 232781 230388 232112 240630 237514 235699 238638 241890
+          239724 237322 239554 231585 227833 226847 230465 230775 228583 225624 228438 232645
+          230956 227275 229186 229288 225627 223855 227454 229295 227124 223000 225296 225243
+          221962 219651 222553 224755 222159 218479 220761
         </DataArray>
         <DataArray type="Float32" Name="wetting saturation" NumberOfComponents="1" format="ascii">
           1 1 1 1 1 1 1 1 1 1 1 1
@@ -43,12 +43,12 @@
           1 1 1 1 1 1 1 1 1 1 1 1
           1 1 1 1 1 1 1 1 1 1 1 1
           1 1 1 1 1 1 1 1 1 1 1 1
-          1 1 1 0.957795 0.941518 0.924193 0.942028 0.963644 0.977039 0.962686 0.947108 0.965854
-          0.949084 0.965533 0.980095 0.955494 0.964558 0.970308 0.965583 1 1 1 1 1
-          1 1 1 0.984845 0.989792 0.980889 0.973222 0.98837 0.976681 0.985015 0.993798 0.972634
-          0.979735 0.98349 0.976058 0.974161 0.976419 0.983834 0.981628 1 1 1 1 1
-          1 1 1 0.997875 1 1 0.989431 0.980819 0.991125 1 0.990669 1
-          0.993212 1 1 0.989448 1 1 1 0.991351 1 1 1 1
+          1 1 1 0.957795 0.941519 0.924199 0.942029 0.963645 0.977041 0.962696 0.947118 0.965855
+          0.949093 0.965542 0.980096 0.955508 0.964571 0.97032 0.965596 1 1 1 1 1
+          1 1 1 0.984846 0.989793 0.980896 0.97323 0.988369 0.976687 0.985021 0.993797 0.972644
+          0.979744 0.983492 0.976066 0.97417 0.976428 0.983835 0.981636 1 1 1 1 1
+          1 1 1 0.997901 1 1 0.989436 0.980829 0.991157 1 0.990698 1
+          0.993222 1 1 0.989461 1 1 1 0.991368 1 1 1 1
           1 1 1 1 1 1 1
         </DataArray>
         <DataArray type="Float32" Name="C^w from cellData" NumberOfComponents="1" format="ascii">
@@ -58,30 +58,30 @@
           199.951 199.955 199.955 199.955 199.952 199.951 199.955 199.955 199.954 199.952 199.951 199.955
           199.954 199.954 199.951 199.951 199.955 199.954 199.953 199.953 199.951 199.951 199.951 199.955
           199.954 199.953 199.952 199.952 199.951 199.951 199.951 199.951 199.951 199.955 199.953 199.952
-          199.952 199.951 199.951 199.95 199.95 199.95 199.95 199.954 199.954 199.784 199.836 199.954
-          199.765 199.766 199.954 191.69 188.484 185.051 188.572 192.706 195.269 192.48 189.507 193.077
-          189.884 193.031 195.824 191.096 192.806 193.895 193.007 199.952 199.952 199.944 199.965 199.954
-          199.901 199.897 199.954 196.749 197.412 195.905 194.477 197.405 195.151 196.671 198.23 194.334
-          195.621 195.95 194.967 194.636 195.04 195.998 195.969 199.952 199.952 199.947 199.972 199.953
-          199.909 199.933 199.954 199.053 199.925 199.399 197.214 195.749 197.739 199.881 197.625 199.528
-          198.117 199.768 199.953 197.132 199.647 199.951 199.071 197.611 199.081 199.944 199.773 199.933
-          199.948 199.948 199.948 199.927 199.944 199.944 199.945
+          199.952 199.951 199.951 199.95 199.95 199.95 199.95 199.954 199.954 199.783 199.836 199.954
+          199.765 199.766 199.954 191.691 188.484 185.052 188.572 192.705 195.268 192.479 189.505 193.076
+          189.882 193.03 195.824 191.095 192.806 193.895 193.007 199.952 199.952 199.944 199.965 199.954
+          199.901 199.897 199.954 196.749 197.412 195.906 194.477 197.404 195.151 196.671 198.23 194.334
+          195.622 195.953 194.967 194.637 195.04 196.001 195.97 199.952 199.952 199.947 199.972 199.953
+          199.909 199.933 199.954 199.058 199.925 199.402 197.217 195.75 197.748 199.885 197.633 199.53
+          198.12 199.77 199.953 197.138 199.65 199.951 199.076 197.617 199.086 199.944 199.776 199.935
+          199.948 199.948 199.948 199.93 199.944 199.944 199.944
         </DataArray>
         <DataArray type="Float32" Name="C^n from cellData" NumberOfComponents="1" format="ascii">
-          0 0 0 8.18254e-11 3.30893e-10 2.10378e-10 7.27444e-11 4.97665e-12 1.60837e-13 4.57163e-15 0 0
-          0 1.94914e-08 8.41297e-08 4.28493e-08 1.87405e-08 1.94547e-09 4.48626e-11 7.97443e-13 0 0 0 1.79706e-06
-          8.13512e-06 3.36957e-06 1.737e-06 4.66768e-07 7.01291e-09 8.20001e-11 0 0 0 7.89604e-05 8.05597e-05 7.13872e-07
-          5.70951e-09 0 0 0 2.12712e-05 1.4247e-07 0 0 0 3.47461e-06 1.10011e-08 0
-          0 0 8.3113e-08 7.97205e-11 0 0 0 0 3.74098e-08 1.98166e-11 1.14352e-14 0
+          0 0 0 8.1688e-11 3.30532e-10 2.10203e-10 7.25531e-11 4.95282e-12 1.60058e-13 4.53703e-15 0 0
+          0 1.94632e-08 8.40609e-08 4.2825e-08 1.86964e-08 1.93495e-09 4.45994e-11 7.93005e-13 0 0 0 1.79476e-06
+          8.13052e-06 3.36869e-06 1.73339e-06 4.64387e-07 6.97029e-09 8.14645e-11 0 0 0 7.88682e-05 8.02896e-05 7.09973e-07
+          5.67367e-09 0 0 0 2.1113e-05 1.41564e-07 0 0 0 3.40873e-06 1.09024e-08 0
+          0 0 8.07309e-08 7.81069e-11 0 0 0 0 3.51654e-08 1.95384e-11 1.13412e-14 0
           0 0 0 0 0 0 0 0 0 0 0 0
-          0 0 0 0 0 0 0 0.000293029 0.000452465 0.00499128 0.00350945 4.10457e-08
-          0.00296558 0.00417056 4.39212e-07 0.0393585 0.0485871 0.0583523 0.0483067 0.0352758 0.0272383 0.0352616 0.0445947 0.0340236
-          0.0434788 0.0336773 0.0255357 0.0394584 0.0339604 0.0304596 0.0333951 0.0001557 0.000117923 0.00161894 0.00199975 3.94075e-06
-          4.20451e-06 3.8743e-06 3.59523e-06 0.0225195 0.0194632 0.0243434 0.0289445 0.0205875 0.0270431 0.0220914 0.0173078 0.0290951
-          0.0248418 0.0225693 0.0269771 0.0282599 0.0267784 0.0223705 0.0238058 8.11351e-05 6.41607e-05 0.000869307 0.00114399 0
-          0 0 0 0.0147765 0.000684611 0.00702157 0.0193217 0.0241055 0.0182589 0.000938066 0.0184931 0.00502938
-          0.0172983 0.00201756 0 0.0192045 0.00371603 0.000131443 0.0128862 0.0181766 0.0126545 0.000103939 0.00198327 0.000257195
-          8.56129e-05 8.55859e-05 8.58237e-05 0.000295577 9.98391e-05 9.98238e-05 9.98272e-05
+          0 0 0 0 0 0 0 0.000292911 0.000452376 0.00499262 0.00350998 4.09699e-08
+          0.00296232 0.0041665 4.38344e-07 0.0393822 0.0486184 0.0583898 0.0483377 0.0352946 0.0272495 0.0352752 0.044617 0.0340413
+          0.0435005 0.0336906 0.0255461 0.039474 0.0339712 0.0304681 0.0334058 0.00015575 0.000117923 0.00161986 0.00200165 3.93284e-06
+          4.19607e-06 3.86656e-06 3.58804e-06 0.0225265 0.0194669 0.0243487 0.0289536 0.0205938 0.0270516 0.0220956 0.017311 0.0291032
+          0.0248463 0.0225756 0.026984 0.028268 0.0267852 0.0223774 0.0238102 8.1051e-05 6.40268e-05 0.000868755 0.00114447 0
+          0 0 0 0.0147616 0.000676109 0.00698908 0.0193234 0.024109 0.0182455 0.000894339 0.0184816 0.00501333
+          0.0172958 0.00199605 0 0.0192022 0.00368255 0.000130524 0.0128284 0.0181713 0.0125968 0.000104723 0.00195439 0.000231624
+          8.56714e-05 8.56484e-05 8.5851e-05 0.000266536 0.000100017 0.000100004 0.000100007
         </DataArray>
         <DataArray type="Float32" Name="capillary pressure" NumberOfComponents="1" format="ascii">
           0 0 0 0 0 0 0 0 0 0 0 0
@@ -91,12 +91,12 @@
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
           0 0 0 0 0 0 0 0 0 0 0 0
-          0 0 0 422.046 584.822 758.071 579.722 363.564 229.607 373.14 528.921 341.462
-          509.164 344.67 199.046 445.057 354.418 296.92 344.166 0 0 0 0 0
-          0 0 0 151.554 102.079 191.106 267.778 116.302 233.189 149.849 62.0227 273.661
-          202.652 165.103 239.42 258.391 235.805 161.661 183.723 0 0 0 0 0
-          0 0 0 21.2508 0 0 105.693 191.809 88.7474 0 93.3085 0
-          67.8801 0 0 105.516 0 0 0 86.489 0 0 0 0
+          0 0 0 422.048 584.809 758.014 579.707 363.548 229.591 373.038 528.823 341.446
+          509.071 344.583 199.04 444.922 354.286 296.803 344.039 0 0 0 0 0
+          0 0 0 151.544 102.068 191.04 267.699 116.307 233.125 149.792 62.0289 273.562
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diff --git a/test/references/test_adaptive2p2c3d-reference.vtu b/test/references/test_adaptive2p2c3d-reference.vtu
index 22673ee7969e7dda298dd81f1c3bee9a96128383..532494b8e66b7c26bb5b62305ea29c077fd5c328 100644
--- a/test/references/test_adaptive2p2c3d-reference.vtu
+++ b/test/references/test_adaptive2p2c3d-reference.vtu
@@ -4,376 +4,376 @@
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diff --git a/test/references/test_dec2p2c-reference.vtu b/test/references/test_dec2p2c-reference.vtu
index d485a05965d825aea9a34bc309f35fe65ee9af31..38869fb0e78a3389edb9683d13580275febf41f1 100644
--- a/test/references/test_dec2p2c-reference.vtu
+++ b/test/references/test_dec2p2c-reference.vtu
@@ -4,182 +4,182 @@
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diff --git a/test/references/test_multiphysics2p2c-reference.vtu b/test/references/test_multiphysics2p2c-reference.vtu
index 9e5b4964e89d6001b13f89c61f6ebe5ec9aa04a7..310529ac5593402aefa1ae20aa5b5c7911b48b9f 100644
--- a/test/references/test_multiphysics2p2c-reference.vtu
+++ b/test/references/test_multiphysics2p2c-reference.vtu
@@ -4,182 +4,182 @@
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