Non linear free-surface flow over a submerged obstacle

Abstract EN

Free-surface flow over a triangular obstacle is considered.

The fluid is assumed to be inviscid, incompressible and the flow is assumed to be steady and irrotational.

Both gravity and surface tension are included in the dynamic boundary condition.

Far upstream, the flow is assumed to be uniform.

The problem is solved numerically using a boundary integral equation method.

The problem is solved by first deriving integro-differential equations.

These equations are discretized and the resulting nonlinear algebraic equations are solved by Newton method.

When surface tension and gravity are included, there are two additional parameters in the problem known as the Weber number and Froude number.