Title :
Efficient lattice Boltzmann method for specialized Kuramoto-Sivashinsky equation
Author :
Cai Li ; Xie Wenxian
Author_Institution :
Sch. of Sci., Northwestern Polytech. Univ., Xi´an, China
Abstract :
In this paper, a new lattice Boltzmann model with a first order amending term is offered to solve the specialized Kuramoto-Sivashinsky equation. The governing equation can be recovered generally from the proposed Boltzmann equation based on the Chapman-Enskog expansion. The numerical results agree well with the exact solutions and it verifies that the presented lattice Boltzmann method is suitable for solving the specialized Kuramoto-Sivashinsky equation.
Keywords :
Boltzmann equation; lattice Boltzmann methods; lattice theory; Chapman-Enskog expansion; lattice Boltzmann method; specialized Kuramoto-Sivashinsky equation; Educational institutions; Equations; Lattice Boltzmann methods; Mathematical model; Numerical models; Partial differential equations; Kuramoto-Sivashinsky equation; lattice Boltzmann method; multiscale Chapman-Enskog expansion;
Conference_Titel :
TENCON 2013 - 2013 IEEE Region 10 Conference (31194)
Conference_Location :
Xi´an
Print_ISBN :
978-1-4799-2825-5
DOI :
10.1109/TENCON.2013.6718850
