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Implicit discretization of Lagrangian gas dynamics


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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Dates and versions

hal-04048418 , version 1 (12-07-2021)
hal-04048418 , version 2 (01-06-2022)
hal-04048418 , version 3 (02-11-2022)
hal-04048418 , version 4 (27-03-2023)


  • HAL Id : hal-04048418 , version 2


A. Plessier, S. del Pino, B. Després. Implicit discretization of Lagrangian gas dynamics. 2022. ⟨hal-04048418v2⟩
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