A direct solution approach to the inverse shallow-water problem

DOI10.1155/2012/417950zbMath1264.76033OpenAlexW2015691940WikidataQ58911549 ScholiaQ58911549MaRDI QIDQ1954758

Alelign Gessese, Mathieu Sellier

Publication date: 11 June 2013

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/417950

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (4)

Inverse problems in free surface flows: a review ⋮ Steady solution and spatial stability of gravity-driven thin-film flow: reconstruction of an uneven slippery bottom substrate ⋮ FESTUNG 1.0: overview, usage, and example applications of the MATLAB/GNU Octave toolbox for discontinuous Galerkin methods ⋮ Free-surface, wave-free gravity flow of an inviscid, incompressible fluid over a topography: an inverse problem

Cites Work

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• One-dimensional bathymetry based on velocity measurements
• Reconstruction of river bed topography from free surface data using a direct numerical approach in one-dimensional shallow water flow
• Beating capillarity in thin film flows
• Substrate design or reconstruction from free surface data for thin film flows
• Bottom reconstruction in thin-film flow over topography: Steady solution and linear stability

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