THEORETICAL AND NUMERICAL STUDY OF AN IMPLICIT DISCRETIZATION OF A 1D INVISCID MODEL FOR RIVER FLOWS

DOI10.1142/S0218202506001194zbMath1099.76032MaRDI QIDQ5470136

Alfredo Bermúdez, Carmen Rodríguez, Miguel Angel Vilar, Rafael Muñoz-Sola

Publication date: 29 May 2006

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

stability analysisriver flowfully discretized schemesemidiscretized schemeimplicit time schemecharacteristic/FE method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (3)

Sediment minimization in canals: an optimal control approach ⋮ Flow regulation for water quality restoration in a river section: modeling and control ⋮ An application of optimal control theory to river pollution remediation

Cites Work

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• Duality methods for solving variational inequalities
• Global existence for the Cauchy problem for the viscous shallow water equations
• Existence of solutions to hyperbolic conservation laws with a source
• Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
• Finite elements and characteristics for some parabolic-hyperbolic problems
• Existence theorem for the solution of a shallow water problem
• Upwind schemes for the two-dimensional shallow water equations with variable depth using unstructured meshes
• Solving Shallow Water Equations by a Mixed Implicit Finite Element Method
• Global Existence of Classical Solutions in the Dissipative Shallow Water Equations
• Existence and Uniqueness of a Classical Solution of an Initial-Boundary Value Problem of the Theory of Shallow Waters
• RECENT DEVELOPMENTS IN THE NUMERICAL SIMULATION OF SHALLOW WATER EQUATIONS II: TEMPORAL DISCRETIZATION
• The shallow flow equations solved on adaptive quadtree grids
• Inverse problems of the mathematical theory of tides: tide potential problem for a semi-discrete model

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