Low dissipative entropy stable schemes using third order WENO and TVD reconstructions
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-017-9576-2
Abstract: A low dissipative framework is given to construct high order entropy stable flux by addition of suitable numerical diffusion operator into entropy conservative flux. The framework is robust in the sense that it allows the… read more here.
Keywords: order; tvd reconstructions; entropy stable; weno ... See more keywords
An Entropy Stable h / p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-018-0733-7
Abstract: This work presents an entropy stable discontinuous Galerkin (DG) spectral element approximation for systems of non-linear conservation laws with general geometric (h) and polynomial order (p) non-conforming rectangular meshes. The crux of the proofs presented… read more here.
Keywords: summation parts; entropy stable; discontinuous galerkin; non ... See more keywords
Entropy Stable and Well-Balanced Discontinuous Galerkin Methods for the Nonlinear Shallow Water Equations
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-020-01248-3
Abstract: The nonlinear shallow water equations (SWEs) are widely used to model the unsteady water flows in rivers and coastal areas, with extensive applications in ocean and hydraulic engineering. In this work, we propose entropy stable,… read more here.
Keywords: entropy stable; nonlinear shallow; water; water equations ... See more keywords
Entropy Stable Discontinuous Galerkin Methods for Nonlinear Conservation Laws on Networks and Multi-Dimensional Domains
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-021-01464-5
Abstract: We present a high-order entropy stable discontinuous Galerkin method for nonlinear conservation laws on both multi-dimensional domains and on networks constructed from one-dimensional domains. These methods utilize treatments of multi-dimensional interfaces and network junctions which… read more here.
Keywords: stable discontinuous; entropy stable; discontinuous galerkin; multi dimensional ... See more keywords