A novel lattice Boltzmann model for the coupled viscous Burgers’ equations

作者: Qianhuan Li , Zhenhua Chai , Baochang Shi

DOI: 10.1016/J.AMC.2014.11.036

关键词:

摘要: Abstract In this work, a new lattice Boltzmann model for coupled Burgers’ equations is proposed through selecting proper distribution functions. Unlike the previous models, present can exactly recover without any assumptions. A detailed numerical study on several performed to validate model, and results show that not only has second-order convergence rate in space, but also more accurate than model.

参考文章(22)
Xiaojing Liu, Jizeng Wang, Youhe Zhou, A wavelet method for solving coupled viscous Burgers' equations 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013. ,vol. 1558, pp. 935- 937 ,(2013) , 10.1063/1.4825654
Junfeng Zhang, Lattice Boltzmann method for microfluidics: models and applications Microfluidics and Nanofluidics. ,vol. 10, pp. 1- 28 ,(2011) , 10.1007/S10404-010-0624-1
Baochang Shi, Zhaoli Guo, Lattice Boltzmann model for nonlinear convection-diffusion equations. Physical Review E. ,vol. 79, pp. 016701- ,(2009) , 10.1103/PHYSREVE.79.016701
R. Benzi, S. Succi, M. Vergassola, The lattice Boltzmann equation: theory and applications Physics Reports. ,vol. 222, pp. 145- 197 ,(1992) , 10.1016/0370-1573(92)90090-M
Maryam Mohammadi, Reza Mokhtari, Hamid Panahipour, A Galerkin-reproducing kernel method: Application to the 2D nonlinear coupled Burgers' equations Engineering Analysis With Boundary Elements. ,vol. 37, pp. 1642- 1652 ,(2013) , 10.1016/J.ENGANABOUND.2013.09.005
Siraj-ul-Islam, Sirajul Haq, Marjan Uddin, A meshfree interpolation method for the numerical solution of the coupled nonlinear partial differential equations Engineering Analysis with Boundary Elements. ,vol. 33, pp. 399- 409 ,(2009) , 10.1016/J.ENGANABOUND.2008.06.005
A.A. Soliman, The modified extended tanh-function method for solving Burgers-type equations Physica A-statistical Mechanics and Its Applications. ,vol. 361, pp. 394- 404 ,(2006) , 10.1016/J.PHYSA.2005.07.008
Bracy H Elton, None, Comparisons of Lattice Boltzmann and Finite Difference Methods for a Two-Dimensional Viscous Burgers Equation SIAM Journal on Scientific Computing. ,vol. 17, pp. 783- 813 ,(1996) , 10.1137/0917052
Hudong Chen, Satheesh Kandasamy, Steven Orszag, Rick Shock, Sauro Succi, Victor Yakhot, Extended Boltzmann kinetic equation for turbulent flows. Science. ,vol. 301, pp. 633- 636 ,(2003) , 10.1126/SCIENCE.1085048
Guo Zhao-Li, Zheng Chu-Guang, Shi Bao-Chang, Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method Chinese Physics. ,vol. 11, pp. 366- 374 ,(2002) , 10.1088/1009-1963/11/4/310