Title :
Lattice Boltzmann method to simulate two dimension Burgers equation
Author :
Shen, Zhijun ; Yuan, Guangwei ; Shen, Longjiun
Author_Institution :
Lab. of Comput. Phys., Inst. of Appl. Phys. & Computational Math., China
Abstract :
It is well known that the lattice Boltzmann Method (LBM) has been very successful in many computational physics fields. In contrast, numerical theory in the lattice Boltzmann method has made little headway. In order to solve a 2D Burgers equation, a lattice Boltzmann scheme with a BGK model is constructed. The maximum value principle is proved and stability is also obtained. Numerical experiments show the second order convergent accuracy of the scheme.
Keywords :
Boltzmann equation; kinetic theory; lattice theory; numerical stability; physics computing; 2D Burgers equation; BGK model; computational physics; lattice Boltzmann method; maximum value principle; numerical theory; second order convergent accuracy; stability; Computational modeling; Concurrent computing; Kinetic theory; Laboratories; Lattice Boltzmann methods; Mathematics; Nonlinear equations; Numerical analysis; Physics computing; Stability;
Conference_Titel :
Algorithms and Architectures for Parallel Processing, 2002. Proceedings. Fifth International Conference on
Conference_Location :
Beijing, China
Print_ISBN :
0-7695-1512-6
DOI :
10.1109/ICAPP.2002.1173591
