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Implicit discretization of Lagrangian gas dynamics

Abstract : We construct an original framework based on convex analysis to prove the existence and uniqueness of a solution to a class of implicit numerical schemes. We propose an application of this general framework in the case of a new non linear implicit scheme for the 1D Lagrangian gas dynamics equations. We provide numerical illustrations that corroborate our proof of unconditional stability for this non linear implicit scheme.
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Preprints, Working Papers, ...
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https://hal-cea.archives-ouvertes.fr/cea-03284467
Contributor : Alexiane Plessier Connect in order to contact the contributor
Submitted on : Wednesday, November 2, 2022 - 9:28:22 AM
Last modification on : Sunday, November 6, 2022 - 3:26:07 AM

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  • HAL Id : cea-03284467, version 3

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A. Plessier, S. del Pino, B. Després. Implicit discretization of Lagrangian gas dynamics. 2022. ⟨cea-03284467v3⟩

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