Symmetric supercritical free surface flow over a polygonal obstacle
type: Item
instance of: scholarly article
title: Symmetric supercritical free surface flow over a polygonal obstacle
zbMATH Open document ID: 0587.76020
DOI: 10.1016/0020-7225(85)90049-7
author: B. George
published in: International Journal of Engineering Science
publication date: 1985-01-01T00:00:00Z
review text: We consider steady, supercritical, plane, incompressible and irrotational flow in a channel with an obstacle of polygonal shape placed on the bottom. The solution is based on the combined use of a conformal mapping and the Riemann-Hilbert solution of a mixed boundary-value problem in the upper half plane. Numerical methods are introduced, and numerical solutions for some symmetric examples are presented. Numerical checks are applied showing good agreement. A comparison with the solution of the corresponding linearised problem shows that there are large differences, and contrary behaviour of the shape of the free surface as the Froude number is varied.
Mathematics Subject Classification ID: 76B10
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3943296
zbMATH Keywords: steady, supercritical, plane, incompressible and irrotational flow
zbMATH Keywords: channel with an obstacle of polygonal shape
zbMATH Keywords: conformal mapping
zbMATH Keywords: Riemann- Hilbert solution
zbMATH Keywords: mixed boundary-value problem
zbMATH Keywords: numerical solutions
zbMATH Keywords: linearised problem
MaRDI profile type: Publication
full work available at URL: 0020-7225(85)90049-7
OpenAlex ID: W2020732584
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description: scientific article; zbMATH DE number 3943296