Comparison of the LBM with the modified local Crank-Nicolson method solution of transient one-dimensional nonlinear Burgers' equation Online publication date: Tue, 01-Nov-2016
by Ahmad Reza Haghighi; Shirin Pakrou
International Journal of Computing Science and Mathematics (IJCSM), Vol. 7, No. 5, 2016
Abstract: Burgers' equation is a simplified form of the Navier-Stokes equations that represents the nonlinear features of them. In this paper, the transient one-dimensional nonlinear Burgers' equation is solved using the lattice Boltzmann method (LBM). The results are compared with the modified local Crank-Nicolson method (MLCN) and exact solutions. An example, distinguished by initial condition, is solved using the LBM and the MLCN methods and the accuracy of these two methods at various Reynolds numbers are analysed. Also, the effects of different numbers of particle velocities on the accuracy of the LBM are evaluated. The results show that at higher Reynolds numbers the accuracy of the LBM is higher than the MLCN method and vice versa.
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Computing Science and Mathematics (IJCSM):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email subs@inderscience.com