Entropy stable flux correction for hydrostatic reconstruction scheme for shallow water flows

DOI10.1007/s10915-024-02457-warXiv2305.17774OpenAlexW4391997980MaRDI QIDQ6123345

Sergii Kivva

Publication date: 4 March 2024

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.17774

zbMATH Keywords

linear programmingshallow water equationsflux corrected transportfully discrete entropy inequalityhydrostatic reconstruction scheme

Mathematics Subject Classification ID

Linear programming (90C05) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Finite volume methods for boundary value problems involving PDEs (65N08) PDE constrained optimization (numerical aspects) (49M41)

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