Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642377 | Journal of Computational and Applied Mathematics | 2008 | 13 Pages |
Abstract
In this paper, high-resolution finite volume schemes are combined with an adaptive mesh technique inspired by multiresolution analysis to improve the computational efficiency for two-dimensional hyperbolic conservation laws. The method is conservative. Moreover, it is stable which is proven numerically in this paper. The computational grid is dynamically adapted so that higher spatial resolution is automatically allocated to regions where strong gradients are observed. Using this proposed scheme, we compute several two-dimensional model problems and a compressive rate ranging from about 5–10 is observed in all simulations.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lingyan Tang, Songhe Song,