Modeling dam-break flows in channels with 90 degree bend using an alternating-direction implicit based curvilinear hydrodynamic solver

DOI10.1016/j.compfluid.2015.03.011zbMath1390.76532OpenAlexW1992419052MaRDI QIDQ1645719

Keh-Han Wang, Amanda Wood

Publication date: 22 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2015.03.011

zbMATH Keywords

shallow-water equationsdam-break flowscurvilinear coordinate transformationalternating-direction implicit finite-difference scheme

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Cites Work

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• Approximate Riemann solvers, parameter vectors, and difference schemes
• An implicit finite-difference algorithm for hyperbolic systems in conservation-law form
• Upwind methods for hyperbolic conservation laws with source terms
• Mathematical balancing of flux gradient and source terms prior to using Roe's approximate Riemann solver.
• A well-balanced positivity preserving ``second-order scheme for shallow water flows on unstructured meshes
• Numerical solution of the St. Venant equations with the MacCormack finite-difference scheme
• The Artificial Compression Method for Computation of Shocks and Contact Discontinuities: III. Self-Adjusting Hybrid Schemes
• Formation of a jump by the dam-break wave over a granular bed
• Solution of the 2D shallow water equations using the finite volume method on unstructured triangular meshes
• A numerical model for the flooding and drying of irregular domains
• Explicit finite volume non-oscillatory schemes for 2D transient free-surface flows