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Numerical solution of viscous flows using integral equation methods
Author(s) -
Bush M. B.,
Tanner R. I.
Publication year - 1983
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650030107
Subject(s) - reynolds number , mathematics , boundary element method , drag , flow (mathematics) , mechanics , incompressible flow , rotational symmetry , hele shaw flow , open channel flow , mathematical analysis , geometry , finite element method , physics , turbulence , thermodynamics
A formulation of the boundary element method for the solution of non‐zero Reynolds number incompressible flows in which the non‐linear terms are lumped together to form a forcing function is presented. Solutions can be obtained at low to moderate Reynolds numbers. The method was tested using the flow of a fluid in a two‐dimensional converging channel (Hamel flow) for which an exact solution is available. An axisymmetric formulation is demonstrated by examining the drag experienced by a sphere held stationary in uniform flow. Performance of the method was satisfactory. New results for an axisymmetric free jet at zero Reynolds number obtained using the boundary element method are also included. The method is ideal for this type of free‐surface problem.