Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4643174 | Journal of Computational and Applied Mathematics | 2006 | 10 Pages |
Abstract
In this paper, a TVD-type difference scheme which satisfies maximum principle is developed for 2D scalar Hamilton–Jacobi equations on unstructured triangular meshes. The main ideas are node-based approximations and derivative-limited reconstruction with quadratic interpolation polynomial. The solution's slope satisfies maximum principle. Numerical experiments are performed to demonstrate high-order accuracy in smooth fields and good resolution of derivative singularities. The new method is simpler than WENO.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lingyan Tang, Songhe Song,