Retrieval of the shape of the bottom surface of a channel when the free surface profile is given

DOI10.1016/S0955-7997(98)00100-3zbMath0954.76072OpenAlexW2030990738MaRDI QIDQ1961599

Yanyan Li

Publication date: 8 February 2001

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0955-7997(98)00100-3

zbMATH Keywords

boundary integral methodinviscid irrotational incompressible free surface flowminimal height methodminimum plot procedure

Mathematics Subject Classification ID

Free-surface potential flows for incompressible inviscid fluids (76B07)

Related Items (5)

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 ⋮ Flow domain identification from free surface velocity in thin inertial films ⋮ Solving free surface fluid flow problems by the minimal kinetic energy functional ⋮ Use of an extremal functional in solving for an unknown bottom surface given a free surface profile

Cites Work

• Hilbert's method for numerical solution of flow from a uniform channel over irregular bottom topographies
• Approximate solution of a flow over a ramp for large Froude number
• Fully non-linear two-layer flow over arbitrary topography
• Free-surface flow over a semicircular obstruction
• Free-surface flow over a step
• Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
• Open channel flows with submerged obstructions
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