Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6931625 | Journal of Computational Physics | 2015 | 22 Pages |
Abstract
A framework is proposed for the spectral analysis of the numerical scheme applied on a nonconforming grid interface between two structured blocks for the two-dimensional advection equation, in a cell-centered finite-volume formalism. The conservative flux computation on the nonconforming grid interface is based on the sum of partial fluxes computed with the same numerical scheme used for a standard cell interface. This framework is used to analyze the effect of grid refinement or coarsening on the stability of the second-order centered scheme. New theoretical results are given and compared to numerical results. Considering the convection of a two-dimensional isentropic vortex, the refinement/coarsening are shown to be the cause of instabilities, poor accuracy and reflection of high-frequency waves. A new approach to compute partial fluxes, which is based both on a high-order extrapolation that accounts for the local metric and on a Riemann solver, is then proposed to reduce spurious modes.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Julien Vanharen, Guillaume Puigt, Marc Montagnac,