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http://hdl.handle.net/1783.1/3549
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| Title: | Thermal lattice Boltzmann equation for low Mach number flows : Decoupling model |
| Authors: | Guo, Zhaoli
Zheng, Chuguang
Shi, Baochang
Zhao, Tian-Shou |
| Keywords: | Natural convection
Poiseuille flow
Lattice theory
Boltzmann equation
Hydrodynamics |
| Issue Date: | Mar-2007 |
| Citation: | Physical review. E, v. 75, 036704 (2007) |
| Abstract: | A lattice Boltzmann model is proposed for solving low Mach number thermal flows with viscous dissipation and compression work in the double-distribution-function framework. A distribution function representing the total energy is defined based on a single velocity distribution function, and its evolution equation is derived from the continuous Boltzmann equation. A lattice Boltzmann equation model with clear physics and a simple structure is then obtained from a kinetic model for the decoupled hydrodynamic and energy equations. The model is tested by simulating a thermal Poiseuille flow and natural convection in a square cavity, and it is found that the numerical results agree well with the analytical solutions and/or the data reported in previous studies. |
| Rights: | Physical Review. E © copyright 2007 American Physical Society. The Journal's web site is located at http://pre.aps.org/ |
| URI: | http://hdl.handle.net/1783.1/3549 |
| Appears in Collections: | MECH Journal/Magazine Articles
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Size | Format |
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| 036704.pdf | pre-published version | 259Kb | Adobe PDF | View/Open |
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