Hesthaven, Jan S.Mönkeberg, FabianZaninelli, Sarah2018-11-092018-11-092018-11-09202010.1007/978-3-030-39647-3_14https://infoscience.epfl.ch/handle/20.500.14299/151312Solving 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.text::conference output::conference proceedings::conference paper