A new method for the numerical solution of vorticity–streamfunction formulations
作者： Sheng Chen , Jonas Tölke , Manfred Krafczyk
DOI: 10.1016/J.CMA.2008.08.007
关键词:
摘要: Abstract A lattice Boltzmann model for vorticity–streamfunction formulations is proposed in this paper. The present was validated by several benchmark problems. Excellent agreement between the results and other numerical data shows that an efficient method solution of formulations.
harvard.edu
elsevier.com
sci-hub.se 参考文章(73)
Y. H. QIAN, S. SUCCI, S. A. ORSZAG, Recent Advances in Lattice Boltzmann Computing Annual Reviews of Computational Physics III. Edited by STAUFFER DIETRICH. Published by World Scientific Publishing Co. Pte. Ltd. pp. 195- 242 ,(1995) , 10.1142/9789812830647_0006
Andrea L. Bertozzi, Andrew J. Majda, Vorticity and incompressible flow ,(2001)
L. Quartapelle, Numerical Solution of the Incompressible Navier-Stokes Equations Birkhäuser Basel. ,(1993) , 10.1007/978-3-0348-8579-9
Roger Peyret, Spectral Methods for Incompressible Viscous Flow ,(2002)
Michael C. Sukop, Daniel T. Jr Thorne, Lattice Boltzmann Modeling: An Introduction for Geoscientists and Engineers ,(2005)
T. E. Tezduyar, J. Liou, D. K. Ganjoo, M. Behr, Solution techniques for the vorticity–streamfunction formulation of two‐dimensional unsteady incompressible flows International Journal for Numerical Methods in Fluids. ,vol. 11, pp. 515- 539 ,(1990) , 10.1002/FLD.1650110505
Takeshi Seta, Eishun Takegoshi, Kenichi Okui, Lattice Boltzmann simulation of natural convection in porous media Mathematics and Computers in Simulation. ,vol. 72, pp. 195- 200 ,(2006) , 10.1016/J.MATCOM.2006.05.013
SUMAN CHAKRABORTY, DIPANKAR CHATTERJEE, An enthalpy-based hybrid lattice-Boltzmann method for modelling solid-liquid phase transition in the presence of convective transport Journal of Fluid Mechanics. ,vol. 592, pp. 155- 175 ,(2007) , 10.1017/S0022112007008555
W E Langlois, Buoyancy-Driven Flows in Crystal-Growth Melts Annual Review of Fluid Mechanics. ,vol. 17, pp. 191- 215 ,(1985) , 10.1146/ANNUREV.FL.17.010185.001203
H. Schamel, Nilakshi Das, Scalar vortex dynamics of incompressible fluids and plasmas in Lagrangian space Physics of Plasmas. ,vol. 8, pp. 3120- 3123 ,(2001) , 10.1063/1.1375147