Loading...
conference paper
RBF Based CWENO Method
2020
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018
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.
Loading...
Name
RBFBasedCWENOMethod.pdf
Access type
openaccess
Size
505.25 KB
Format
Adobe PDF
Checksum (MD5)
04b6e011417a6f5b87758d31e93de5f4