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| Title: | Efficient random walks in the presence of complex two-dimensional geometries |
| Authors: | RAMACHANDRAN, P RAMAKRISHNA, A RAJAN, SC |
| Keywords: | discrete vortex method fast multipole method impulsively started cylinder high-resolution simulations particle simulations unsteady-flow algorithm equations square |
| Issue Date: | 2007 |
| Publisher: | PERGAMON-ELSEVIER SCIENCE LTD |
| Citation: | COMPUTERS & MATHEMATICS WITH APPLICATIONS, 53(2), 329-344 |
| Abstract: | This paper details an efficient algorithm for particles undergoing random walks in the presence of complex, two-dimensional, solid boundaries. The scheme is developed for the simulation of vortex diffusion using the random vortex method. Both vortex blobs and sheets are handled. The relevant modifications for using the algorithm with the vorticity redistribution technique are also discussed. The algorithm is designed to be used in the framework of an existing fast multipole implementation. A measure for the geometric complexity of a body is introduced and the algorithm's efficiency is studied as various parameters are changed for bodies of varying complexity. (C) 2007 |
| URI: | http://dx.doi.org/10.1016/j.camwa.2006.02.050 http://dspace.library.iitb.ac.in/xmlui/handle/10054/10773 http://hdl.handle.net/10054/10773 |
| ISSN: | 0898-1221 |
| Appears in Collections: | Article
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