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Issue ESAIM: Proc.
Volume 7, 1999
Third International Workshop on Vortex Flows and Related Numerical Methods
Page(s) 205 - 214
DOI http://dx.doi.org/10.1051/proc:1999019

ESAIM: Proc., 1999, Vol. 7, pp. 205-214
DOI: 10.1051/proc:1999019

A galerkin boundary element method for solving the generalized Helmholtz decomposition

S.N Kempka1, W.W Glass1, J.H Strickland1 and M.S Ingber2

1  Engineering Sciences Center Sandia National Laboratories Alburquerque, NM 87185, USA
2  Departement of Mechanical Engeneering University of New Mexico Alburquerque, NM 87106, USA


Abstract
The objective of this work is to more accuretely calculate velocities, particularly on bondaries, by using the Galerkin form of the generalized Helmholtz decomposition. This work describes advantages of using the generalized Helmholtz decomposition over the other formulations and shows the accuracy and convergence advantages of Galerkin numerical methods over point collocation methods. Solutions based on Galerkin and point collocation methods are compared for two-dimensional problems. The comparaison shows that Galerkin solutions are significantly more accurate and less oscillatory. Accordingly, the Galerkin method is recommended for use with vortex methods.



© EDP Sciences, ESAIM 1999


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