Refaad for Studies, Research and Developement
Non Linear Free-Surface Flow Over a Submerged Obstacle
2519-9269 (Print)
2519-9277 (Online)
Volume 1
Issue 1
2016
August
0
Non Linear Free-Surface Flow Over a Submerged Obstacle
45
52
English
Abdelkrim Merzouguidepartment of Mathematics,Faculty of Mathematics and Informatics, M'sila University, Algeria
shamdadz@yahoo.fr
Abdelkader LaiadiBiskra University, department of Mathematics, Algerialaiadhi_a@yahoo.fr
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.
Free surface flow; potential flow; Weber number; surface tension; Froude number.
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