LAUSR

We consider a quasi-hydrodynamic regularized model of the phase field type that describes the dynamics of an isothermal compressible two-phase viscous mixture with allowance for interphase effects. The dissipativity of the model, i.e., the lack of growth in the complete energy of the closed system as it tends to an equilibrium state, is discussed. A spatially discrete approximation to the one-dimensional model that possesses the dissipativity property with respect to total energy is constructed for the plane-parallel case. The working capacity of the discretization constructed is demonstrated using the spinodal decomposition of the two-phase mixture.