Application of fast parallel and sequential tree codes to computing three-dimensional flows with the vortex element and boundary element methods

Winckelmans, Grégoire;Salmon, J.K.;Warren, Michael S.;Leonard, Anthony;Jodoin, B.
(1996) Second International Workshop on Vortex Flows ans Related Numerical Methods — Location: Montréal, Canada (20.August.1995)

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  • Winckelmans, GrégoireUCLouvain
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  • Salmon, J.K.California Institute of Technology
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  • Warren, Michael S.Los Alamos National Laboratory
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  • Leonard, AnthonyCalifornia Institute of Technology
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  • Jodoin, B.University of Ottawa
    Author
Abstract
A fast parallel oct-tree code originally developed for three-dimensional N-body gravitational simulations was modified into (1) a fast N-vortex code for viscous and inviscid vortex flow computations using the regularized vortex particle method (VEM), and (2) a fast N-panel code for solving boundary integral equations in potential flow aerodynamics using the boundary element method (BEM). The core of the fast tree code remains essentially unchanged between the different application codes: gravitation, VEM, BEM, etc. Only the modules that actually encode the physical model are changed. Particular attention is given to controlling the error introduced by the use of multipole expansions to represent the field produced by groups of elements, i.e., the tree code error. In particular, the acceptable error bound for use of any multipole expansion approximation is a run-time parameter. Program outputs include statistics on the errors for the field evaluation at all element locations. Problems i...
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Winckelmans, G., Salmon, J. K., Warren, M. S., Leonard, A., & Jodoin, B. (1996). Application of fast parallel and sequential tree codes to computing three-dimensional flows with the vortex element and boundary element methods. European Series in Applied and Industrial Mathematics Proceedings (ESAIM). Published. Second International Workshop on Vortex Flows ans Related Numerical Methods, Montréal, Canada. https://doi.org/10.1051/proc:1996039