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An investigation on the body force modeling in a lattice Boltzmann BGK simulation of generalized Newtonian fluids

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  • Farnoush, Somayeh
  • Manzari, Mehrdad T.

Abstract

Body force modeling is studied in the Generalized Newtonian (GN) fluid flow simulation using a single relaxation time lattice Boltzmann (LB) method. First, in a shear thickening Poiseuille flow, the necessity for studying body force modeling in the LB method is explained. Then, a parametric unified framework is constructed for the first time which is composed of a parametric LB model and its associated macroscopic dual equations in both steady state and transient simulations. This unified framework is used to compare the macroscopic behavior of different forcing models. Besides, using this unified framework, a new forcing model for steady state simulations is devised. Finally, by solving a number of test cases it is shown that numerical results confirm the theoretical arguments presented in this paper.

Suggested Citation

  • Farnoush, Somayeh & Manzari, Mehrdad T., 2014. "An investigation on the body force modeling in a lattice Boltzmann BGK simulation of generalized Newtonian fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 315-332.
    • Handle: RePEc:eee:phsmap:v:415:y:2014:i:c:p:315-332
    DOI: 10.1016/j.physa.2014.08.014
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    References listed on IDEAS

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    1. Rui Du & Baochang Shi, 2006. "A Novel Scheme For Force Term In The Lattice Bgk Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(07), pages 945-958.
    2. Silva, Goncalo & Semiao, Viriato, 2011. "A study on the inclusion of body forces in the lattice Boltzmann BGK equation to recover steady-state hydrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(6), pages 1085-1095.
    3. Farnoush, Somayeh & Manzari, Mehrdad T., 2014. "Comparison of boundary slip for two variants of immersed boundary method in lattice Boltzmann framework," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 404(C), pages 200-216.
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