A well-balanced high-order scheme on van Leer-type for the shallow water equations with temperature gradient and variable bottom topography

DOI10.1007/s10444-020-09832-9zbMath1473.65147OpenAlexW3128836442MaRDI QIDQ2026117

Dao Huy Cuong, Nguyen Xuan Thanh, Mai Duc Thanh

Publication date: 18 May 2021

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-020-09832-9

zbMATH Keywords

high-order schemeRiemann solverwell-balancednonconservativeRipa systemvan Leer scheme

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hyperbolic conservation laws (35L65) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) PDEs in connection with geophysics (35Q86)

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