Hostname: page-component-848d4c4894-hfldf Total loading time: 0 Render date: 2024-05-09T16:40:42.670Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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