WIT Press


A Galerkin Implementation Of The Generalized Helmholtz Decomposition For Use In Vorticity Formulations

Price

Free (open access)

Paper DOI

10.2495/BE990361

Volume

25

Pages

14

Published

1999

Size

1,115 kb

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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