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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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Contributor : Alexiane Plessier Connect in order to contact the contributor
Submitted on : Monday, July 12, 2021 - 3:49:49 PM
Last modification on : Tuesday, January 4, 2022 - 6:46:03 AM
Long-term archiving on: : Wednesday, October 13, 2021 - 7:21:53 PM


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  • HAL Id : cea-03284467, version 1


A. Plessier, S. del Pino, B. Després. Implicit discretization of Lagrangian gas dynamics. 2021. ⟨cea-03284467⟩



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