Numerical Analysis of a Model of Two Phase Compressible Fluid Flow

Abstrakt

We consider a model of a binary mixture of two immiscible compressible fluids. We propose a numerical scheme and discuss its basic properties: stability, consistency, convergence.

The convergence is established via the method of generalized weak solutions combined with the weak-strong uniqueness principle.

Klíčová slova

• Barotropic Navier-Stokes system
• Allen-Cahn equation
• Dissipative weak solution
• Weak-strong uniqueness