A unified sub‐cell force‐based discretization for cell‐centered Lagrangian hydrodynamics on polygonal grids

Abstract

AbstractWe develop a general formalism to derive cell‐centered Lagrangian scheme, wherein numerical fluxes are expressed in terms of sub‐cell force. The general form of the sub‐cell force is obtained by requiring the scheme to satisfy a semi‐discrete entropy inequality. Sub‐cell force and nodal velocity are computed consistently with cell volume variation by means of a node‐centered solver, which results from total energy conservation. Numerical results demonstrate the accuracy and the robustness of this scheme. Copyright © 2010 John Wiley & Sons, Ltd.