Free Surface Flow Over an Obstruction in a Channel.
Technical summary rept.,
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Pagination or Media Count:
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 Newtons 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.
- Fluid Mechanics