Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617261 | Journal of Mathematical Analysis and Applications | 2012 | 13 Pages |
Abstract
In this paper, we introduce an improved version of mapped weighted essentially non-oscillatory (WENO) schemes for solving Hamilton–Jacobi equations. To this end, we first discuss new smoothness indicators for WENO construction. Then the new smoothness indicators are combined with the mapping function developed by Henrick et al. (2005) [31]. The proposed scheme yields fifth-order accuracy in smooth regions and sharply resolve discontinuities in the derivatives. Numerical experiments are provided to demonstrate the performance of the proposed schemes on a variety of one-dimensional and two-dimensional problems.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Youngsoo Ha, Chang Ho Kim, Yeon Ju Lee, Jungho Yoon,