Use of an extremal functional in solving for an unknown bottom surface given a free surface profile

DOI10.1016/S0955-7997(99)00035-1zbMath0969.76077OpenAlexW1979353328WikidataQ126464104 ScholiaQ126464104MaRDI QIDQ1577902

N. Delaunay

Publication date: 1 October 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(99)00035-1

zbMATH Keywords

variational principleinverse analysisextremal functionalboundary integral techniqueminimization techniqueextremal energy methodextremal pressure methodfree surface fluid flowunknown bottom surface

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Free-surface potential flows for incompressible inviscid fluids (76B07)

Related Items (2)

Inverse problems in free surface flows: a review ⋮ Solving free surface fluid flow problems by the minimal kinetic energy functional

Cites Work

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• 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
• Retrieval of the shape of the bottom surface of a channel when the free surface profile is given
• FREE-SURFACE FLOW OF A STREAM OBSTRUCTED BY AN ARBITRARY BED TOPOGRAPHY
• Free-surface flow over a semicircular obstruction
• Open channel flows with submerged obstructions

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