Solving hyperbolic conservation laws on general grids can be important to reduce the computational complexity and increase accuracy in many applications. However, the use of non-uniform grids can introduce challenges when using high-order methods. We propose to use a Central WENO (CWENO) scheme based on radial basis function (RBF) interpolation, which is applicable to scattered data. We develop a smoothness indicator, based on RBFs, and CWENO specific weights which depend on the mesh size of the grid to construct an arbitrarily high order RBF-CWENO method. We evaluate the method with multiple examples in one dimension.
CITATION STYLE
Hesthaven, J. S., Mönkeberg, F., & Zaninelli, S. (2020). Rbf based cweno method. In Lecture Notes in Computational Science and Engineering (Vol. 134, pp. 191–201). Springer. https://doi.org/10.1007/978-3-030-39647-3_14
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