Implicit discretization of Lagrangian gas dynamics - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

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.
Fichier principal
Vignette du fichier
version_hal.pdf (929.86 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

cea-03284467 , version 1 (12-07-2021)
cea-03284467 , version 2 (01-06-2022)
cea-03284467 , version 3 (02-11-2022)


  • HAL Id : cea-03284467 , version 3


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


Gmail Facebook Twitter LinkedIn More