Semi-discrete central-upwind schemes with reduced dissipation for Hamilton–Jacobi equations
نویسنده
چکیده
We introduce a new family of Godunov-type semi-discrete central schemes for multidimensional Hamilton–Jacobi equations. These schemes are a less dissipative generalization of the central-upwind schemes that have been recently proposed in Kurganov, Noelle and Petrova (2001, SIAM J. Sci. Comput., 23, pp. 707–740). We provide the details of the new family of methods in one, two, and three space dimensions, and then verify their expected low-dissipative property in a variety of examples.
منابع مشابه
High-order semi-discrete central-upwind schemes for multi-dimensional Hamilton–Jacobi equations
We present the first fifth-order, semi-discrete central-upwind method for approximating solutions of multi-dimensional Hamilton–Jacobi equations. Unlike most of the commonly used high-order upwind schemes, our scheme is formulated as a Godunov-type scheme. The scheme is based on the fluxes of Kurganov–Tadmor and Kurganov– Noelle–Petrova, and is derived for an arbitrary number of space dimension...
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