Well-balanced high order 1D schemes on non-uniform grids and entropy residuals
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Publication:2398473
DOI10.1007/s10915-015-0056-xzbMath1371.65093arXiv1403.4112OpenAlexW1803217503MaRDI QIDQ2398473
Gabriella Puppo, Matteo Semplice
Publication date: 16 August 2017
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.4112
entropynumerical exampleerror boundnon-uniform gridssystems of conservation lawshigh order finite volumeswell balancing
Hyperbolic conservation laws (35L65) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items
On the accuracy of WENO and CWENO reconstructions of third order on nonuniform meshes ⋮ Well-balanced high order 1D schemes on non-uniform grids and entropy residuals ⋮ Central Weighted ENO Schemes for Hyperbolic Conservation Laws on Fixed and Moving Unstructured Meshes ⋮ NUMERICAL ENTROPY PRODUCTION AS SMOOTHNESS INDICATOR FOR SHALLOW WATER EQUATIONS ⋮ Arbitrary Order Finite Volume Well-Balanced Schemes for the Euler Equations with Gravity ⋮ CWENO: Uniformly accurate reconstructions for balance laws ⋮ Cool WENO schemes ⋮ High order finite volume schemes for balance laws with stiff relaxation ⋮ Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction
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