Linearized-Boltzmann-type-equation-based finite difference method for thermal incompressible flow

S. C. Fu, R. M.C. So, Woon Fong Leung

Research output: Journal article publicationJournal articleAcademic researchpeer-review

60 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)67-80
Number of pages14
JournalComputers and Fluids
Publication statusPublished - 30 Oct 2012


  • Finite difference method
  • Incompressible flow
  • Lattice Boltzmann method
  • Pressure-correction method
  • Thermal flow

ASJC Scopus subject areas

  • General Computer Science
  • General Engineering


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