A TVD-type method for 2D scalar Hamilton-Jacobi equations on unstructured meshes

[摘要] In this paper, a TVD-type difference scheme which satisfies maximum principle is developed for 21) 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. (c) 2005 Elsevier B.V. All rights reserved.

[发布日期] 2006-10-15

[效力级别]  Proceedings Paper

[关键词] Hamilton-Jacobi equation;unstructured mesh;maximum principle