Learning WENO for entropy stable schemes to solve conservation laws

arXiv:2403.14848v1 Announce Type: cross
Abstract: Entropy conditions play a crucial role in the extraction of a physically relevant solution for a system of conservation laws, thus motivating the construction of entropy stable schemes that satisfy a discrete analogue of such conditions. TeCNO schemes (Fjordholm et al. 2012) form a class of arbitrary high-order entropy stable finite difference solvers, which require specialized reconstruction algorithms satisfying the sign property at each cell interface. Recently, third-order WENO schemes called SP-WENO (Fjordholm and Ray, …

abstract arxiv class conservation construction cs.lg cs.na entropy extraction form laws math.na role solution solve type