Bibliographic Details
| Title: |
AN IMPLICIT WELL-POSED LAGRANGIAN SCHEME FOR NONVISCOUS COMPRESSIBLE FLUIDS IN HIGH DIMENSION. |
| Authors: |
DEL PINO, STÉPHANE1 stephane.delpino@cea.fr, DESPRES, BRUNO2 bruno.despres@sorbonne-universite.fr, PLESSIER, ALEXIANE3 alexiane.plessier@cea.fr |
| Source: |
SIAM Journal on Scientific Computing. 2025, Vol. 47 Issue 5, pA2636-A2671. 36p. |
| Subjects: |
Compressibility (Fluids), Inviscid flow, Finite volume method, Dimensional analysis, Flow stability (Fluid dynamics), Stability (Mechanics), Lagrangian functions |
| Abstract: |
We construct an implicit first-order Lagrangian scheme to approximate inviscid compressible gas dynamics in dimension d∈{1,2,3}. Our main theoretical result is that this finite volume scheme is unconditionally stable with regard to the time step, which means that solutions provided by the scheme ensure positivity of density and growth of physical entropy for all Δt>0. We detail the issues related to the displacement of the mesh in dimension d∈{1,2,3}. Finally, we illustrate the theoretical results with basic tests. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
