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-Modelisation Mathematique Et Analyse Numerique, 53, 3, 925-958
Year:
Jun 21 2019
Publisher:
Les Ulis Cedex A, EDP SCIENCES S A
ISSN:
0764-583X
1290-3841
Keywords:
Laboratories:




 Record created 2019-07-31, last modified 2019-12-05


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