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Numerical solution of axisymmetric cavity flows using the boundary element method
Author(s) -
Wrobel L. C.
Publication year - 1993
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.1650160907
Subject(s) - rotational symmetry , stream function , finite element method , robustness (evolution) , boundary element method , mathematics , mechanics , boundary value problem , mathematical analysis , boundary knot method , iterative method , numerical analysis , geometry , physics , mathematical optimization , vortex , vorticity , biochemistry , chemistry , gene , thermodynamics
This paper presents a formulation of the boundary element method (BEM) for solution of axisymmetric cavity flow problems. The governing equation is written in terms of Stokes' stream function, requiring a new fundamental solution to be found. The iterative procedure for adjusting the free‐surface position is similar to that used for planar cavity flows. Numerical results are compared with finite difference and finite element solutions, showing the robustness of the BEM model.