In the present work we investigate the numerical simulation of liquid-vapor phase change
          in compressible flows. Each phase is modeled as a compressible fluid equipped with its own
          equation of state (EOS). We suppose that inter-phase equilibrium processes in the medium
          operate at a short time-scale compared to the other physical phenomena such as convection
          or thermal diffusion. This assumption provides an implicit definition of an equilibrium
          EOS...
                    
                 
                
                    
                
            
        
            
            
            
            
            
                
            
                
            
                
            
                
            
                
            
                
                    
                
            
                
            
                
             
            
            
                
            
            
            
                
                    
                
            
            
            
            
                
            
            
             
            
                
            
            
            
                
                
                
                    
                       
In the present work we investigate the numerical simulation of liquid-vapor phase change
          in compressible flows. Each phase is modeled as a compressible fluid equipped with its own
          equation of state (EOS). We suppose that inter-phase equilibrium processes in the medium
          operate at a short time-scale compared to the other physical phenomena such as convection
          or thermal diffusion. This assumption provides an implicit definition of an equilibrium
          EOS...
                    
                 
                
                    
                
            
        
            
            
            
            
            
                
            
                
            
                
            
                
            
                
            
                
                    
                
            
                
            
                
             
            
            
                
            
            
            
                
                    
                
            
            
            
            
                
            
            
             
            
                
            
            
            
                
                
                
                    
                       
We propose a method dedicated to the simulation of interface flows involving an arbitrary number  of compressible components. Our task is two-fold: we first introduce a -component flow model that generalizes the two-material five-equation model of [2,3]. Then, we present a discretization strategy by means of a Lagrange-Remap [8,10] approach following the lines of [5,7,12]. The projection step involves an anti-dissipative mechanism derived from [11,12]. This feature allows to prevent the numerical...
                    
                 
                
                    
                
            
        
            
            
            
            
            
                
            
                
            
                
            
                
            
                
            
                
                    
                
            
                
            
                
             
            
            
                
            
            
            
                
                    
                
            
            
            
            
                
            
            
             
            
                
            
            
            
                
                
                
                    
                       
We build a non-dissipative second order algorithm for the approximate resolution of the
          one-dimensional Euler system of compressible gas dynamics with two components. The
          considered model was proposed in [1]. The algorithm is based on [8] which deals with a
          non-dissipative first order resolution in Lagrange-remap formalism. In the present paper
          we describe, in the same framework, an algorithm that is second order accurate in time and
          space, and that...
                    
                 
                
                    
                
            
        
        
        
            
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