A ghost fluid, moving finite volume plus continuous remap method for compressible Euler flow

Abstract

AbstractA numerical solution method for accurately capturing material interfaces in unsteady compressible Euler flows is presented. The method consists of a finite volume scheme on a moving computational mesh and employs the HLLC approximate Riemann solver to evaluate intercell numerical fluxes. The mesh is moved in a Lagrangian fashion with the material, and to avoid grid distortion, remapping is performed at the end of each time interval, with the distorted grid being rezoned back to the initial mesh. The focus of the work is multimaterial flows consisting of two immiscible materials separated by an interface. The innovative aspect of the work is the application of a conservative ghost fluid method, together with a volume of fluid technique, within the moving mesh plus continuous remap framework. In addition a preliminary discussion, concerning the extension of the solution method to two spatial dimensions, includes a new area preserving volume fraction version of the interface reconstruction algorithm reported by Bonnell et al. (Material Interface Reconstruction. Lawrence Livermore National Laboratory Report). Copyright © 2005 John Wiley & Sons, Ltd.