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Lattice Boltzmann Approach for Local Reference Frames

Published online by Cambridge University Press:  20 August 2015

Raoyang Zhang ,
Chenghai Sun ,
Yanbing Li ,
Rajani Satti ,
Richard Shock ,
James Hoch  and
Hudong Chen
Raoyang Zhang*
Affiliation:
EXA Corporation, 55 Network Drive, Burlington, MA 01803, USA
Chenghai Sun*
Affiliation:
EXA Corporation, 55 Network Drive, Burlington, MA 01803, USA
Yanbing Li*
Affiliation:
EXA Corporation, 55 Network Drive, Burlington, MA 01803, USA
Rajani Satti*
Affiliation:
EXA Corporation, 55 Network Drive, Burlington, MA 01803, USA
Richard Shock*
Affiliation:
EXA Corporation, 55 Network Drive, Burlington, MA 01803, USA
James Hoch*
Affiliation:
EXA Corporation, 55 Network Drive, Burlington, MA 01803, USA
Hudong Chen*
Affiliation:
EXA Corporation, 55 Network Drive, Burlington, MA 01803, USA
*
Corresponding author.Email:raoyang@exa.com
Email:chenghai@exa.com
Email:leolee@exa.com
Email:Rajani.Satti@bakerhughes.com
Email:rshock@exa.com
Email:hoch@exa.com
Email:hudong@exa.com
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Abstract

In this paper we present a generalized lattice Boltzmann based approach for sliding-mesh local reference frame. This scheme exactly conserves hydrodynamic fluxes across local reference frame interface. The accuracy and robustness of our scheme are demonstrated by benchmark validations.

Keywords

47.11.Qr44.05.+eLBMLRFsliding mesh
Type
Research Article
Information
Communications in Computational Physics , Volume 9 , Issue 5 , May 2011 , pp. 1193 - 1205
Copyright
Copyright © Global Science Press Limited 2011

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References

[1]Dong, L., Johansen, S. T., and Engh, T. A., Flow induced by an impeller in an UnBaffled tank-1, Exp. Chem. Eng. Sci., 49(4) (1994), 549–560.Google Scholar
[2]Hartmann, H., Derksen, J. J., Montavon, C., Pearson, J., Hamill, I. S., and Van Den Akker, H. E. A., Assessment of large eddy and RANS tank simulations by means of LDA, Chem. Eng. Sci., 59 (2004), 2419–2432.CrossRefGoogle Scholar
[3]Perng, C. Y., and Murthy, J. Y., A moving deforming mesh technique for simulation of flow in mixing tanks, A. IChE. Symp. Ser., 89(293) (1993), 37–41.Google Scholar
[4]Murthy, J. Y., Mathur, S. R., and Choudahary, D., CFD simulation of flows in stirred tank reactors using a sliding mesh technique, I. ChemE. Symp. Ser., 136 (1994), 341–348.Google Scholar
[5]Tabor, G., Gosman, A. D., and Issa, R., Numerical simulation of the flow in a mixing vessel stirred by a rushton turbine, I. ChemE. Symp. Ser., 140 (1996), 25–34.Google Scholar
[6]Daskapoulous, Ph., and Harris, C. K., Three dimensional CFD simulations of turbulent flow in baffled stirred tanks, I. ChemE. Symp. Ser., 140 (1996), 1–13.Google Scholar
[7]Chen, S., and Doolen, G., Lattice Boltzmann method for fluid flows, Ann. Rev. Fluid. Mech., 30 (1997), 329–364.Google Scholar
[8]Chen, H., Chen, S., and Matthaeus, W., Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method, Phys. Rev. A., 45 (1992), 5339–5342.Google Scholar
[9]Qian, Y. H., d’Humires, D., and Lallemand, P., Lattice BGK models for Navier-Stokes equation, Europhys. Lett., 17 (1992), 479–484.CrossRefGoogle Scholar
[10]Shan, X., Yuan, X. F., and Chen, H., Kinetic theory representation of hydrodynamics: a way beyond the Navier-Stokes equation, J. Fluid. Mech., 550 (2006), 413–441.Google Scholar
[11]Zhang, R., Shan, X., and Chen, H., Efficient kinetic method for fluid simulation beyond Navier-Stokes equation, Phys. Rev. E., 74 (2006), 046703.Google Scholar
[12]Chen, H., and Shan, X., Fundamental conditions for N-th order accurate lattice Boltzmann models, Phys. D., 237(14) (2008), 2003–2008.Google Scholar
[13]Chen, H., Teixeira, C., and Molvig, K., Realization of fluid boundary conditions via discrete Boltzmann dynamics, Int. J. Mod. Phys. C., 9 (1998), 1281–1292.Google Scholar
[14]Shan, X., and Chen, H., Lattice Boltzmann model for simulating flows with multiple phases and components, Phys. Rev. E., 47 (1993), 1815–1819.Google Scholar
[15]Chen, H., Kandasamy, S., Orszag, S., Shock, R., Succi, S., and Yakhot, V., Extended Boltzmann kinetic equation for turbulent flows, Science., 301 (2003), 633–636.Google Scholar
[16]Chen, H., Orszag, S. A., Staroselsky, I., and Succi, S., Expanded analogy between Boltzmann theory of fluids and turbulence, J. Fluid. Mech., 519 (2004), 301–314.Google Scholar
[17]Li, Y., Shock, R., Zhang, R., and Chen, H., Numerical study of flow past an impulsively started cylinder by lattice Boltzmann method, J. Fluid. Mech., 519 (2004), 273–300.Google Scholar
[18]Li, Y., Shock, R., Zhang, R., and Chen, H., Simulation of flow over iced airfoil by using a lattice Boltzmann method, AIAA Paper 2005-1103, 43rd AIAA Aerospace Sciences Meeting and Exhibit, January 10-13, Reno, Nevada, 2005.Google Scholar
[19]Guo, Z., Zhen, C., and Shi, B., Discrete lattice effects on the forcing term in the lattice Boltz-mann method, Phys. Rev. E., 65 (2002), 046308.Google Scholar
[20]Li, Y., Zhang, R., Shock, R., and Chen, H., Prediction of vortex shedding from a circular cylinder using a volumetric Lattice-Boltzmann boundary approach, Euro. Phys. J., 171 (2009), 91–97.Google Scholar
[21]Pervaiz, M., and Teixeira, C., Two equation turbulence modeling with the lattice Boltzmann method, Proceeding of ASME PVP Division Conference: 2nd International Symposium on Computational Technologies for Fluid/Thermal/Chemical Systems with Industrial Applications, August, Boston, MA, USA, 1999.Google Scholar
[22]Jessup, S. D., Schott, C., Jeffers, M., and Kobayashi, S., Local propeller blade flows in uniform and sheared onset flows using LDV techniques, 15th ONR Symposium on Naval Hydrodynamics, Hamburg, Germany, 1984.Google Scholar
[23]Jeong, J., and Hussain, F., On the identification of a vortex, J. Fluid. Mech., 285 (1995), 69–94.CrossRefGoogle Scholar