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Article
An Implicit Lattice Boltzmann Model for Heat Conduction with Phase Change
International Journal of Heat and Mass Transfer
  • Mohsen Eshraghi
  • Sergio D. Felicelli, University of Akron, Main Campus
Document Type
Article
Publication Date
4-1-2012
Abstract
In this work, a new variation of the lattice Boltzmann method (LBM) was developed to solve the heat conduction problem with phase change. In contrast to previous explicit algorithms, the latent heat source term was treated implicitly in the energy equation, avoiding iteration steps and improving the formulation stability and efficiency. The Bhatnagar–Gross–Krook (BGK) approximation with a D2Q9 lattice was applied and different boundary conditions including Dirichlet and Neumann boundary conditions were considered. The developed model was tested by solving a one-dimensional melting problem for a pure metal, and one and two-dimensional solidification problems for a binary alloy. The results of the LBM solution were compared with analytical and finite element solutions and a good consistency was observed. Considering the special capabilities that LBM offers, like local characteristic, and inherent parallel structure, the developed model is an interesting alternative to traditional continuum models.
Citation Information
Mohsen Eshraghi and Sergio D. Felicelli. "An Implicit Lattice Boltzmann Model for Heat Conduction with Phase Change" International Journal of Heat and Mass Transfer Vol. 55 Iss. 9-10 (2012) p. 2420 - 2428
Available at: http://works.bepress.com/sergio_felicelli/12/