1. Linearized-Boltzmann-type-equation-based finite difference method for thermal incompressible flow
- Author
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Fu, S.C., So, R.M.C., and Leung, W.W.F.
- Subjects
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BOLTZMANN'S equation , *FINITE differences , *THERMAL analysis , *INCOMPRESSIBLE flow , *LATTICE Boltzmann methods , *MACH number , *COMPUTER simulation - Abstract
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. [Copyright &y& Elsevier]
- Published
- 2012
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