A two-layer finite volume model for flows through channels with irregular geometry: computation of maximal exchange solutions. Application to the Strait of Gibraltar.

DOI10.1016/S1007-5704(03)00115-1zbMath1136.76394OpenAlexW1640391234MaRDI QIDQ1421556

Manuel J. Castro, Jorge Macías, Elena Vázquez-Cendón, C. Parés-Madroñal, José A. García-Rodríguez

Publication date: 26 January 2004

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(03)00115-1

zbMATH Keywords

equationsHyperbolic systemsSource terms\(Q\)-schemes1D shallow waterCoupled conservation lawsMaximal two-layer exchange flowsStrait of GibraltarTwo-layer flows

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Higher-order hyperbolic systems (35L55)

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Cites Work

• Approximate Riemann solvers, parameter vectors, and difference schemes
• Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
• Upwind methods for hyperbolic conservation laws with source terms
• Numerical simulation of two-layer shallow water flows through channels with irregular geometry.
• On numerical treatment of the source terms in the shallow water equations
• AQ-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system
• On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes
• Maximal two-layer exchange through a contraction with barotropic net flow
• Maximal two-layer exchange over a sill and through the combination of a sill and contraction with barotropic flow

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