Evolution of a high pressure region in a closed cylinder at time t = 1.5 (left) and t = 4.5 (right).
Abstract We propose a high resolution finite-volume scheme for the solution of hyperbolic problems on two- and three-dimensional mapped grids. The algorithms are based on the wave propagation algorithms available in Clawpack, a freely available software package developed by R. J. LeVeque. The method has also been extended to adaptively refined meshes. In this brief article, we present a novel grid mapping that can be used in place of the standard mapping based on cylindrical coordinates. We use this mapping to solve the Euler equations of gas dynamics in a closed circular cylinder.
For more details, please contact Donna Calhoun at donna[at]semt2.smts.cea.fr.