THERMAL SCIENCE

International Scientific Journal

STUDY ON REVERSE-QUADTREE ADAPTIVE GRID TECHNIQUE

ABSTRACT
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.
KEYWORDS
PAPER SUBMITTED: 2012-07-30
PAPER REVISED: 2012-09-01
PAPER ACCEPTED: 2012-09-13
DOI REFERENCE: https://doi.org/10.2298/TSCI1205515H
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2012, VOLUME 16, ISSUE 5, PAGES [1515 - 1519]
REFERENCES
  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

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