Godunov-Typ Verfahren fuer die Gleichungen der Hydrodynamik auf bewegten Gittern

The current PhD thesis presents Godunov-type schemes for the Euler equations on moving grids. The numerical method is based on a finite-volume approach in the space-time domain. The fluxes are calculated using the approximate solution of Riemann problems. Several Riemann solvers are extended to moving grids and higher order methods are developed. For application of the method we concentrate on the simulation of moving material interfaces. We extend the Euler equations by an additional equation to get a regularization of the discontinuous flux function. Then the well known methods of constructing approximate Riemann solvers can be used even at a material interface. To show the power of these methods the results of one dimensional test problems are presented and discussed. Another application are supersonic shock problems, that can be experimentally explored at the KALIF (Karlsruhe Light Ion Facility) at Forschungszentrum Karlsruhe. The results of the simulation of such experiments show the high efficiency and robustness of these methods also in two space dimensions. (orig.)SIGLEAvailable from TIB Hannover: ZA 5141(6017) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman