Fast vortex method calculation using a special-purpose computer |
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Authors: | TK Sheel K Yasuoka S Obi |
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Affiliation: | Department of Mechanical Engineering, Keio University, 3-14-1 Hiyoshi, Kohoku-Ku, Yokohama 223-8522, Japan |
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Abstract: | A mathematical formulation for the 3D vortex method has been developed for calculation using a special-purpose computer MDGRAPE-2 that was originally designed for molecular dynamics simulations. We made an assessment of this hardware for a few representative problems and compared the results with and without it. It is found that the generation of appropriate function tables, which are used to call libraries, embedded in MDGRAPE-2 is of primary importance in order to retain accuracy. The error arising from the approximation is evaluated by calculating a pair of vortex rings impinging to themselves. Consequently, acceleration about 50 times greater is achieved by MDGRAPE-2 while the error in the statistical quantities such as kinetic energy and enstrophy remain negligible. |
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