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Article Dans Une Revue IMA Journal of Numerical Analysis Année : 2022

Transfer of conservative discrete differential operators between staggered grids: construction and duality relations

Stella Krell
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Julie Llobell
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Thierry Goudon

Résumé

This paper is concerned with the construction of a discrete conservative operator on a mesh, knowing a conservative operator on a different mesh. We analyse the possibility of defining such a transfer based on the preservation of conservation properties and provide practical procedures, which can be effectively implemented for schemes that work on staggered grids. We show that such a transfer can be applied to obtain a discrete balance equation on a mesh starting from a discrete balance equation on a different mesh, and to prove local discrete duality relations for standard discrete operators defined on staggered grids.
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Dates et versions

hal-03428267 , version 1 (15-11-2021)

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Stella Krell, Sebastian Minjeaud, Julie Llobell, Thierry Goudon. Transfer of conservative discrete differential operators between staggered grids: construction and duality relations. IMA Journal of Numerical Analysis, 2022, 42 (3), pp.2459--2504. ⟨10.1093/imanum/drab042⟩. ⟨hal-03428267⟩
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