%0 Unpublished work
%T A class of robust numerical schemes to compute front propagation
%+ Laboratoire de Mathématiques Jean Leray (LMJL)
%A Therme, Nicolas
%8 2017-02-21
%D 2017
%K Finite volume
%K Hamilton-Jacobi
%K MUSL
%K Stability
%K Convergence
%Z Mathematics [math]/Numerical Analysis [math.NA]Preprints, Working Papers, ...
%X In this work a class of finite volume schemes is proposed to numerically solve equations involving propagating fronts. They fall into the class of Hamilton-Jacobi equations. Finite volume schemes based on staggered grids, and initially developed to compute fluid flows, are adapted to the G-equation, using the Hamilton-Jacobi theoretical framework. The designed scheme has a maximum principle property and is consistent an monotonous on Cartesian grids. A convergence property is then obtained for the scheme on Cartesian grids and numerical experiments evidence the convergence of the scheme on more general meshes.
%G English
%2 https://hal.science/hal-01322625v2/document
%2 https://hal.science/hal-01322625v2/file/597-2883-2-SM.pdf
%L hal-01322625
%U https://hal.science/hal-01322625
%~ UNIV-NANTES
%~ LMJL
%~ CNRS
%~ FMPL
%~ CHL
%~ TDS-MACS
%~ NANTES-UNIVERSITE
%~ UNIV-NANTES-AV2022