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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 Connect in order to contact the contributor
Submitted on : Tuesday, July 19, 2022 - 3:19:51 PM
Last modification on : Friday, September 30, 2022 - 9:44:08 AM

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vf-cras-rev.pdf
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  • HAL Id : hal-03257774, version 2
  • ARXIV : 2106.06380

Citation

R Eymard, T Gallouët, R Herbin, J.-C Latché. FINITE VOLUME SCHEMES AND LAX-WENDROFF CONSISTENCY. 2022. ⟨hal-03257774v2⟩

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