Semi-discrete Schemes for Hamilton-Jacobi Equations on Unstructured Grids

Levy, Doron; Nayak, Suhas

doi:10.1007/978-3-642-18775-9_60

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Introduction We Consider Cauchy Problems For Hamilton-jacob1

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2006

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“…Our scheme combines a new numerical flux (that was announced in [22]) with the high-order WENO reconstructions of [35].…”

Section: Introduction We Consider Cauchy Problems For Hamilton-jacobmentioning

confidence: 99%

Central WENO Schemes for Hamilton–Jacobi Equations on Triangular Meshes

Levy¹,

Nayak²,

Shu³

et al. 2006

SIAM J. Sci. Comput.

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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.

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“…Our scheme combines a new numerical flux (that was announced in [22]) with the high-order WENO reconstructions of [35].…”

Section: Introduction We Consider Cauchy Problems For Hamilton-jacobmentioning

confidence: 99%