SPACE-TIME FINITE-ELEMENT COMPUTATION OF COMPRESSIBLE FLOWS INVOLVINGMOVING BOUNDARIES AND INTERFACES

The deformable-spatial-domain / stabilized-space-time (DSD/SST) formul ation, introduced by Tezduyar et al. is applied to computation of visc ous compressible flows involving moving boundaries and interfaces. The stabilization technique employed is a streamline-upwind / Petrov-Gale rkin (SUPG) method, with a modified SUPG stabilization matrix. The sta bilized finite element formulation of the governing equations is writt en over the space-time domain of the problem, and therefore the deform ation of the spatial domain with respect to time is taken into account automatically. The frequency of remeshing is minimized to minimize th e projection errors involved in remeshing and also to increase the par allelization potential of the computations. The implicit equation syst ems arising from the space-time finite element discretizations are sol ved iteratively. It is demonstrated that the combination of the SUPG s tabilization and the space-time approach gives the capability of handl ing complicated compressible flow problems, including those with movin g surfaces and shock-boundary layer interactions.