Adaptive finite element methods for compressible two-phase flow

We apply the adaptive streamline diffusion method for compressible flow in conservation variables using P-1 x P-0 finite elements to a conservative mo del of two-phase flow. The adaptive algorithm is based on an a posteriori e rror estimate involving certain stability factors related to a linearized d ual problem. For a model problem we prove that the stability factors are bo unded. We compute the stability factors for some numerical examples in one- and two-space dimensions.