WIT Press


A Boundary Integral Technique For Solving For An Unknown Bottom Surface Given A Free Surface Fluid Flow

Price

Free (open access)

Paper DOI

10.2495/BE990331

Volume

25

Pages

10

Published

1999

Size

974 kb

Author(s)

J.K. Lonyangapou, L. Elliott, D.B. Ingham & X. Wen

Abstract

In this paper the free surface fluid flow is caused by an obstacle on the bot- tom of the channel whose exact shape and location are unknown a priori. The fluid flow is assumed to be two-dimensional, steady, inviscid, irrota- tional, incompressible and is influenced by the force of gravity. A boundary integral technique which is based on the combination of the boundary in- tegral method (BIM), the variational principle technique (VPT) and the application of a minimization technique (MT) is developed. To illustrate the technique the free surface profile to be applied in the inverse analysis has been generated following a direct formulation for when the solid bottom boundary is monotonically decreasing and when it p

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