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Lattice Boltzmann Algorithm for Simulating Thermal Flow in Compressible Fluids

✍ Scribed by Bruce J. Palmer; David R. Rector


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
121 KB
Volume
161
Category
Article
ISSN
0021-9991

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✦ Synopsis


An algorithm has been developed for incorporating the effects of temperature into lattice Boltzmann simulations. Instead of modeling the internal energy as a moment of the distribution describing the flow of mass and momentum, the internal energy is modeled as a scalar field using a second distribution. The energy is then coupled to the density and momentum via the partition between moving and nonmoving particles in a conventional two-speed model. The algorithm is tested against a number of systems for which analytic results are available. These include nonuniform conductivity between two plates, entry length behavior for flow in a channel between two parallel plates, and critical Rayleigh number behavior in Rayleigh-BΓ©nard convection. Quantitative agreement is found in all cases.


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A detailed comparison between the finite element method (FEM) and the lattice-Boltzmann method (LBM) is presented. As a realistic test case, three-dimensional fluid flow simulations in an SMRX static mixer were performed. The SMRX static mixer is a piece of equipment with excellent mixing performanc