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Hai-Ming HUANG Guo HUANG Yumeng HU Xiaoliang XU


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.

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HUANG, Hai-Ming et al. STUDY ON REVERSE-QUADTREE ADAPTIVE GRID TECHNIQUE. Thermal Science, [S.l.], v. 16, n. 5, p. 1515-1519, dec. 2016. ISSN 2334-7163. Available at: <>. Date accessed: 19 sep. 2017. doi:
Received 2016-12-29
Accepted 2016-12-30
Published 2016-12-30


[1] Huang, H. M., Xu, X. L., Simulation on Motion of Particles in Vortex Merging Process, Applied Mathematics and Mechanics, 31 (2010), 4, pp. 433-442
[2] Chorin, A. J., Numerical Study of Slightly Viscous Flow, J. of Fluid Mechanics, 57 (1973), 4. pp. 785- 796
[3] 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
[4] Shiels, D., Simulation of Controlled Bluff Body Flow with a Viscous Vortex Method, Ph. D. thesis, California Institute of Technology, Pasadena, Cal., USA, 1998
[5] Huang, M. J., The Physical Mechanism of Symmetric Vortex Merger: a New Viewpoint, Physics of Fluids, 17 (2005), 7, pp. 1-7
[6] 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
[7] Chen, L. J., Development and Parallel Application of a Fast Core-Spreading Vortex Method, M. Sc. thesis, National Taiwan University, Taiwan, CN, 2008