Accession Number : ADA180956

Title :   Free Surface Flow Over an Obstruction in a Channel.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Vanden-Broeck,Jean-Marc

Report Date : JAN 1987

Pagination or Media Count : 15

Abstract : Two dimensional steady potential flow over a semicircular obstacle at the bottom of a channel is considered. The problem is solved numerically by using an integro-differential equation formulation due to Forbes and Schwartz. This equation is reduced to a set of algebraic equations by a difference method and solved by Newton's method together with parameter variation. Our numerical results for subcritical flows agree with those of Forbes and Schwartz. However we found that supercritical solutions exist only for values of the Froude number greater than some particular value. Furthermore for some values of the Froude number there are two supercritical solutions. One is a perturbation of a uniform stream whereas the other is a perturbation of a solitary wave. Keywords: inviscid incompressible fluids; submerged obstacles.

Descriptors :   *UNDERWATER OBJECTS, *CHANNEL FLOW, *BARRIERS, FINITE DIFFERENCE THEORY, FLOW, SURFACES, DIFFERENTIAL EQUATIONS, INTEGRAL EQUATIONS, VARIATIONS, SOLUTIONS(GENERAL), SUPERCRITICAL FLOW, EQUATIONS, FROUDE NUMBER, FLUIDS, INCOMPRESSIBILITY, INVISCID FLOW, ALGEBRA, STREAMS, CAUCHY PROBLEM

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE