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FINITE VOLUME SCHEMES AND LAX-WENDROFF CONSISTENCY

Abstract : We present a (partial) historical summary of the mathematical analysis of finite differences and finite volumes methods, paying a special attention to the Lax-Richtmyer and Lax-Wendroff theorems. We then state a Lax-Wendroff consistency result for convection operators on staggered grids (often used in fluid flow simulations), which illustrates a recent generalization of the flux consistency notion designed to cope with general discrete functions.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03257774
Contributor : Raphaele Herbin <>
Submitted on : Friday, June 11, 2021 - 10:26:05 AM
Last modification on : Saturday, June 12, 2021 - 3:31:02 AM

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  • HAL Id : hal-03257774, version 1
  • ARXIV : 2106.06380

Citation

R Eymard, T Gallouët, R Herbin, J.-C Latché. FINITE VOLUME SCHEMES AND LAX-WENDROFF CONSISTENCY. 2021. ⟨hal-03257774⟩

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