Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 200, Issue 2, Pages 591-605Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2006.01.022
Keywords
WEND scheme; Hamilton-Jacobi equation; Lax-Wendroff type time discretization; high-order accuracy
Categories
Ask authors/readers for more resources
In this paper, a class of weighted essentially non-oscillatory (WENO) schemes with a Lax-Wendroff time discretization procedure, termed WEND-LW schemes, for solving Hamilton-Jacobi equations is presented. This is an alternative method for time discretization to the popular total variation diminishing (TVD) Runge-Kutta time discretizations. We explore the possibility in avoiding the nonlinear weights for part of the procedure, hence reducing the cost but still maintaining non-oscillatory properties for problems with strong discontinuous derivative. As a result, comparing with the original WEND with Runge-Kutta time discretizations schemes (WEND-RK) of Jiang and Peng [G. Jiang, D. Peng, Weighted ENO schemes for Hamilton-Jacobi equations, SIAM J. Sci. Comput. 21 (2000) 2126-2143] for Hamilton-Jacobi equations, the major advantages of WEND-LW schemes are more cost effective for certain problems and their compactness in the reconstruction. Extensive numerical experiments are performed to illustrate the capability of the method. (c) 2006 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available