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Finite volume schemes and Lax-Wendroff consistency

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 نشر من قبل Raphaele Herbin
 تاريخ النشر 2021
  مجال البحث الهندسة المعلوماتية
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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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