Compressible Subsonic Flow on a Staggered Grid

This work focuses on numerically modelling the dynamics of a single phase fluid at varying densities and pressures. We explore the potential of incompressible flow simulation methods in modelling compressible flow, with an eye towards computer animation applications. The methods developed capture the interesting thermodynamic effects of compressible flow, and reduce to the standard Marker and Cell incompressible flow Poisson matrix in the incompressible limit. The method works well in modelling flows in the subsonic range that normal incompressible techniques do not capture and where compressible methods are inefficient. We have also investigated adapting these techniques to granular elastic-plastic flow.