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A staggered mesh finite difference scheme for the computation of compressible flows

โœ Scribed by Richard Sanders

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
585 KB
Volume
34
Category
Article
ISSN
0029-5981

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โœฆ Synopsis

A simple high resolution finite difference technique is presented to approximate weak solutions to hyperbolic systems of conservation laws. The method does not rely on Riemann problem solvers and is therefore easy to extend to a wide variety of problems. The overall performance (resolution and CPU requirements) is competitive. with other state-of-the-art techniques offering sharp non-oscillatory shocks and contacts. Theoretical results confirm the reliability of the approach for linear systems and non-linear scalar equations.

๐Ÿ“œ SIMILAR VOLUMES

Compact finite difference schemes on non
Compact finite difference schemes on non-uniform meshes. Application to direct numerical simulations of compressible flows
โœ L. Gamet; F. Ducros; F. Nicoud; T. Poinsot ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 519 KB

In this paper, the development of a fourth-(respectively third-) order compact scheme for the approximation of first (respectively second) derivatives on non-uniform meshes is studied. A full inclusion of metrics in the coefficients of the compact scheme is proposed, instead of methods using Jacobia