- A class of robust numerical schemes to compute flame front propagation hal link

Auteur(s): Therme N.

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In this work a class of finite volume schemes is developed to numerically solve an equation modeling a flame front propagation. This equation, called G-equation is a particular Hamilton-Jacobi equation. 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 consistant 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.