A Galerkin Implementation Of The Generalized Helmholtz Decomposition For Use In Vorticity Formulations
Price
Free (open access)
Transaction
Volume
25
Pages
14
Published
1999
Size
1,115 kb
Paper DOI
10.2495/BE990361
Copyright
WIT Press
Author(s)
M.S. Ingber, C.W. Morrow & S.N. Kempka
Abstract
Vorticity formulations for the incompressible Navier-Stokes equations have certain advantages over primitive-variable formulations. However, the accu- rate implementation of the boundary conditions seems to continue to be an impediment to the acceptance and use of numerical methods based on vor- ticity formulations. Typically, velocity boundary conditions are satisfied by determining the appropriate vortex sheet strengths that must be created on the boundary. The vortex sheet strengths are often determined by solving an over-specified set of linear equations. The over-specification arises be- cause integral constraints are imposed on the vortex sheet strengths. These integral con
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