Energy-stable and linearly well-balanced numerical schemes for the nonlinear shallow water equations with the Coriolis force

DOI10.1137/22m1515707MaRDI QIDQ6660360

Yohan Penel, Virgile Dubos, Noémie Gaveau, Emmanuel Audusse

Publication date: 10 January 2025

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

Coriolis forceshallow water equationswell-balanced schemescolocated finite-volume schemesenergy-decreasing schemes

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Finite volume methods applied to problems in fluid mechanics (76M12) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Hyperbolic conservation laws (35L65) Numerical analysis (65-XX)

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