Reconstruction of river bed topography from free surface data using a direct numerical approach in one-dimensional shallow water flow

DOI10.1088/0266-5611/27/2/025001zbMath1210.35286OpenAlexW2045537337WikidataQ107613044 ScholiaQ107613044MaRDI QIDQ3081483

A. F. Gessese, Elijah Van Houten, G. Smart, Mathieu Sellier

Publication date: 8 March 2011

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/27/2/025001

zbMATH Keywords

noise inverse problem free surface data river bed topography

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Inverse problems in geophysics (86A22) Inverse problems for PDEs (35R30) Free boundary problems for PDEs (35R35) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (12)

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 ⋮ The inverse problem in creeping film flows ⋮ A direct solution approach to the inverse shallow-water problem ⋮ Optimal observations-based retrieval of topography in 2D shallow water equations using PC-EnKF ⋮ FESTUNG 1.0: overview, usage, and example applications of the MATLAB/GNU Octave toolbox for discontinuous Galerkin methods ⋮ River discharge and bathymetry estimation from SWOT altimetry measurements ⋮ Sparsity-promoting elastic net method with rotations for high-dimensional nonlinear inverse problem ⋮ Flow domain identification from free surface velocity in thin inertial films ⋮ Free-surface, wave-free gravity flow of an inviscid, incompressible fluid over a topography: an inverse problem ⋮ Recovery of a Time-Dependent Bottom Topography Function from the Shallow Water Equations via an Adjoint Approach ⋮ One-dimensional bathymetry based on velocity measurements

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