Entropy Stable Essentially Nonoscillatory Methods Based On Rbf Reconstruction

To solve hyperbolic conservation laws we propose to use high-order essentially nonoscillatory methods based on radial basis functions. We introduce an entropy stable arbitrary high-order finite difference method (RBF-TeCNOp) and an entropy stable second order finite volume method (RBF-EFV2) for one-dimensional problems. Thus, we show that methods based on radial basis functions are as powerful as methods based on polynomial reconstruction. The main contribution is the construction of an algorithm and a smoothness indicator that ensures an interpolation function which fulfills the sign-property on general one dimensional grids.


Published in:
ESAIM: Mathematical Modelling and Numerical Analysis, 53, 3, 925-958
Year:
Jun 21 2019
Publisher:
Les Ulis Cedex A, EDP Sciences
ISSN:
0764-583X
Keywords:
Note:
This article is licensed under a Creative Commons Attribution 4.0 International License
Laboratories:


Note: The status of this file is: Anyone


 Record created 2019-07-31, last modified 2020-10-27

Final:
Download fulltext
PDF

Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)