Godunov type method on non-structured meshes for three-dimensional moving boundary problems

This paper presents a numerical method for the computation of compressible flows in domains whose boundaries move in a well defined predictable manner. The method uses the space-time formulation by Godunov while the discretization is conducted on non-structured tetrahedral meshes, using Roe's approximate Riemann solver, an implicit time stepping and a MUSCL-type interpolation. The computation of the geometrical parameters required to take into account the movement of the boundaries is described. Examples including the calculation of the flow in the cylinder of an internal combustion engine illustrates the possibilities of the method.