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 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

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence