Sensitivity of the 1D shallow water equations with source terms: Solution method for discontinuous flows

DOI10.1002/fld.2398zbMath1316.76056OpenAlexW2168288608MaRDI QIDQ3100842

Vincent Guinot, Pascal Finaud-Guyot, Carole Delenne, Bernard Cappelaere

Publication date: 21 November 2011

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.2398

zbMATH Keywords

sensitivityshallow water equationssource termsfinite volumeRiemann solverinitial and boundary conditions

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)

Related Items (3)

MUSCL schemes for the shallow water sensitivity equations with passive scalar transport ⋮ Mesh-independent multidimensional coupling of surface and subsurface water flow models ⋮ Upwind finite volume solution of sensitivity equations for hyperbolic systems of conservation laws with discontinuous solutions

Uses Software

• HLLE

Cites Work

• Unnamed Item
• Direct sensitivity computation for the Saint-Venant equations with hydraulic jumps
• Upwind finite volume solution of sensitivity equations for hyperbolic systems of conservation laws with discontinuous solutions
• Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
• Restoration of the contact surface in the HLL-Riemann solver
• Hyperbolic systems of conservation laws II
• An eigenvector-based linear reconstruction scheme for the shallow-water equations on two-dimensional unstructured meshes
• A general approximate-state Riemann solver for hyperbolic systems of conservation laws with source terms
• Direct sensitivity analysis for smooth unsteady compressible flows using complex differentiation
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• Simplified Second-Order Godunov-Type Methods
• Sensitivity Analysis in Practice

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