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A finite-volume-based lattice-Boltzmann method to simulate buoyant flow

Darbandi, M ; Sharif University of Technology | 2005

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  1. Type of Document: Article
  2. DOI: 10.2514/6.2005-575
  3. Publisher: American Institute of Aeronautics and Astronautics Inc , 2005
  4. Abstract:
  5. Despite great advancement in the lattice Boltzmann method and its application in fluid flow problems, there are still major restrictions in treating either the solution domains with complex boundaries or buoyant flow problems. The past experience shows that the heat equation is a source for instabilities which jeopardizes the stable solution of the lattice Boltzmann method in solving fluid flow problems with heat transfer. The instabilities Increase with increasing buoyant force strength. In this work, we suggest a new approach to overcome the restrictions through implementing the advantages of finite volume method in LBM. In this regard, the lattice Boltzznann equation is incorporated with a convection-diffusion equation which takes into account the thermal contribution. The body force provides the required link between the two equations. Both of these equations are treated in finite volume context. The developed formulations are then investigated inside a cavity with natural convection heat transfer between its side walls
  6. Keywords:
  7. Buoyancy ; Diffusion ; Flow of fluids ; Heat transfer ; Lattice constants ; Natural convection ; Stability ; Fluid flow problem ; Heat equation ; Lattice Boltzmann method ; Finite volume method
  8. Source: 43rd AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 10 January 2005 through 13 January 2005 ; 2005 , Pages 2675-2684
  9. URL: https://arc.aiaa.org/doi/10.2514/6.2005-575