Numerical and Analytical Approaches to freesurface and potential flow
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Date
2025-06-15
Journal Title
Journal ISSN
Volume Title
Publisher
Mohamed Boudiaf University of M'sila
Abstract
This work deals with the study of a free surface flow of an ideal, two-dimensional, steady and, irrotational fluid inside a horizontal channel huid is assumed to be incompressible, and surface tension effects are neglected, while channel with an obstacle on the bottom. The gravity is taken into is based on the long-wave approximation, using a small parameter : 0 < epsilon = (H/l) ^ 2 << 1 The bottom profile function y = b(x) and the free surface by y =
H + eta(x, t) where 7 is the main unknown of our problem.
Description
Keywords
fluid, potential flow, free surface, incompressible fluid, supercritical flow