A double-distribution-function lattice Boltzmann model for high-speed compressible viscous flows

• Published in: Computers & fluids Vol. 166; pp. 24 - 31
• Main Authors: Qiu, Ruo-Fan, Zhu, Cheng-Xiang, Chen, Rong-Qian, Zhu, Jian-Feng, You, Yan-Cheng
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Ltd 30.04.2018; Elsevier BV
• Subjects: Boundary layer; Compressibility; Compressible viscous flow; Distribution functions; Energy distribution; Fluid mechanics; Heat flux; High speed; Lattice Boltzmann method; Model testing; Shock wave; Shock waves; Supersonic boundary layers; High-speed; Lattice Boltzmann method; Shock wave; Compressible viscous flow; Boundary layer
• ISSN: 0045-7930; 1879-0747
• DOI: 10.1016/j.compfluid.2018.01.039

•A DDF-LB model for high-speed compressible viscous flows is developed.•The D2Q17 circle function is introduced for better consistency and higher accuracy.•Present LB model shows superior performance in supersonic boundary layer problem. A lattice Boltzmann model for high-speed compressible viscous flows is presented based on the double-distribution-function lattice Boltzmann method proposed by Li et al. (2007). The D2Q17 circle function is introduced to take into account first to fourth order constraints of density equilibrium distribution function, in order for better consistency in the heat flux and the energy dynamics. The corresponding total energy equilibrium distribution function is formed. The present model is tested through three problems, i.e., the Riemann problem, regular shock reflection problem and supersonic boundary layer problem. We also observe improved performance of the new model for a supersonic boundary layer problem in comparison to the original coupled double-distribution-function lattice Boltzmann method.