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

DOI10.1016/j.amc.2014.11.036zbMath1328.65218OpenAlexW2000982474MaRDI QIDQ902802

Qianhuan Li, Zhenhua Chai, Baochang Shi

Publication date: 4 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.11.036

zbMATH Keywords

convection-diffusion equationsecond-order accuracylattice Boltzmann modelChapman-Enskog analysiscoupled Burgers' equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Particle methods and lattice-gas methods (76M28) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

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Cites Work

• Modified lattice Boltzmann scheme for nonlinear convection diffusion equations
• A meshfree interpolation method for the numerical solution of the coupled nonlinear partial differential equations
• A decomposition method for finding solitary and periodic solutions for a coupled higher-dimensional Burgers equations
• Numerical solution of the coupled viscous Burgers equation
• The modified local Crank-Nicolson method for one- and two-dimensional Burgers' equations
• A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability
• A new lattice Boltzmann model for solving the coupled viscous Burgers' equation
• A Galerkin-reproducing kernel method: application to the 2D nonlinear coupled Burgers' equations
• A unified lattice Boltzmann model for some nonlinear partial differential equations
• A Fourier Pseudospectral Method for Solving Coupled Viscous Burgers Equations
• Comparisons of Lattice Boltzmann and Finite Difference Methods for a Two-Dimensional Viscous Burgers Equation