Upwind finite volume schemes in timedependent geometries

We developed a new numerical algorithm to solve the non-stationary compressible Euler equations in three dimensional geometries with a moving boundary. The numerical algorithm consists of a new cell-centered upwind finite volume scheme of higher order on a grid of simplices and the possibility to refine and to coarse the grid locally according to the approximated solution. Furthermore a new criterion based on local residuals to control the refinement and coarsening process is used. In this paper we will concentrate on the new technique we used to model the boundary (piston) motion in a conservative way. More details of the higher order scheme, the local adaption and the modelling of the piston motion can be found in the author's PhD thesis.