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.
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