Central WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes

Authors:
Doron Levy;Suhas Nayak;Chi-Wang Shu;Yong-Tao Zhang
Affiliations:
-;-;-;-
Venue:
SIAM Journal on Scientific Computing
Year:
2006

Citing 0
Cited 3

Convex ENO Schemes for Hamilton-Jacobi Equations

Journal of Scientific Computing
A Second Order Central Scheme for Hamilton-Jacobi Equations on Triangular Grids

Numerical Analysis and Its Applications
Alternating evolution discontinuous Galerkin methods for Hamilton-Jacobi equations

Journal of Computational Physics

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Abstract

We derive Godunov-type semidiscrete central schemes for Hamilton-Jacobi equations on triangular meshes. High-order schemes are then obtained by combining our new numerical fluxes with high-order WENO reconstructions on triangular meshes. The numerical fluxes are shown to be monotone in certain cases. The accuracy and high-resolution properties of our scheme are demonstrated in a variety of numerical examples.