Main Article Content
The fast multipole method is universally adopted for solving the convection equation in the vortex method. In this paper, a reverse-quadtree adaptive grid technique is proposed in order to improve the quadtree adaptive grid technique in the fast multipole method. Taking flow past a cylinder as an example, the results indicate the reverse-quadtree scheme can save more calculation time than the quadtree scheme when the particle population is large enough.
Authors retain copyright of the published article and have the right to use the article in the ways permitted to third parties under the - Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International (CC BY-NC-ND) licence. Full bibliographic information (authors, article title, journal title, volume, issue, pages) about the original publication must be provided and a link must be made to the article's DOI.
The authors and third parties who wish use the article in a way not covered by the the -Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International (CC BY-NC-ND) licence must obtain a written consent of the publisher. This license allows others to download the paper and share it with others as long as they credit the journal, but they cannot change it in any way or use it commercially.
Authors grant to the publisher the right to publish the article, to be cited as its original publisher in case of reuse, and to distribute it in all forms and media.
 Chorin, A. J., Numerical Study of Slightly Viscous Flow, J. of Fluid Mechanics, 57 (1973), 4. pp. 785- 796
 Degond, P., Mas-Gallic, S., The Weighted Particle Method for Convection-Diffusion Equations, Part 1: the Case of an Isotropic Viscosity, Mathematics of Computation, 53 (1989), 188, pp. 485-507
 Shiels, D., Simulation of Controlled Bluff Body Flow with a Viscous Vortex Method, Ph. D. thesis, California Institute of Technology, Pasadena, Cal., USA, 1998
 Huang, M. J., The Physical Mechanism of Symmetric Vortex Merger: a New Viewpoint, Physics of Fluids, 17 (2005), 7, pp. 1-7
 Ploumhans, P., Winckelmans, G. S., Vortex Method for High-Resolution Simulations of Viscous Flow past Bluff Bodies of General Geometry, Journal of Computational Physics, 165 (2000), 2, pp. 354-406
 Chen, L. J., Development and Parallel Application of a Fast Core-Spreading Vortex Method, M. Sc. thesis, National Taiwan University, Taiwan, CN, 2008