Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/13435
Title: Linearized-Boltzmann-type-equation-based finite difference method for thermal incompressible flow
Authors: Fu, SC
So, RMC 
Leung, WWF 
Keywords: Finite difference method
Incompressible flow
Lattice Boltzmann method
Pressure-correction method
Thermal flow
Issue Date: 2012
Source: Computers and fluids, 2012, v. 69, p. 67-80 How to cite?
Journal: Computers and Fluids 
Abstract: This study reports on further development of a finite difference method formulated on the basis of a linearized-Boltzmann-type-equation for thermal incompressible flows with external body force effect. In classical lattice Boltzmann methods, a pressure-density relation, and/or a finite Mach number, no matter how small, are required in the solution of the linearized Boltzmann-type equation, thus generating inherent compressibility error unavoidably. In the present approach, the pressure field is determined by a pressure-correction method to ensure incompressibility, thus the approach is valid for both liquid and incompressible gas flows. A variety of thermal laminar incompressible flows, such as Couette flow, falling thin liquid film flow, fluid flow through porous plates, and two- and three-dimensional natural convection flow are simulated. The results compared extremely well with analytical solutions and other known numerical simulations of the thermal incompressible flows investigated.
URI: http://hdl.handle.net/10397/13435
ISSN: 0045-7930
DOI: 10.1016/j.compfluid.2012.08.016
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