Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Dynamic Study of a Metal Hydride Pump Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Large Eddy Simulation-Based Lattice Boltzmann Method with Different Collision Models

Authors : Mohamed Hamdi, Souheil Elalimi, Sassi Ben Nasrallah

Published in: Exergy for A Better Environment and Improved Sustainability 1

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

It is of interest to discuss the analogies between ELB and LBM with turbulence models. This paper addresses the issue of incorporation of the subgrid turbulence model in the lattice Boltzmann equation (LBE). A lattice Boltzmann solver is implemented using various techniques, and the performance will be discussed. The numerical validity of the codes is tested against known fluid flow solutions, and a visual representation of the fluid flow is created. The simulations include lattice Boltzmann method with subgrid model and single-relaxation-time (SRT), multiple-relaxation-time (MRT), and entropic collision models (ELBM). We explore the behavior and accuracy of the proposed models on lid-driven square cavity at Reynolds number up to 10.000. Our results clearly show that the LES-MRT model remains the most effective in terms of accuracy and stability. Also our results highlight the subgrid features of the ELBE.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Recovery of Waste Farm After Methanation by Evaporation on Inclined Plate
next chapter Electrochemical, Energy, Exergy, and Exergoeconomic Analyses of Hybrid Photocatalytic Hydrogen Production Reactor for Cu–Cl Cycle
Literature
Ansumali, S., Karlin, I.: Kinetic boundary conditions in the lattice Boltzmann method. Phys. Rev. E. 66(2), 026311 (2002)MathSciNetCrossRef
Ansumali, S., Karlin, I.V., Öttinger, H.C.: Minimal entropic kinetic models for hydrodynamics. Europhys. Lett. 63, 798–804 (2003)CrossRef
Arcidiacono, S., Karlin, I.V., Mantzaras, J., Frouzakis, C.E.: Lattice Boltzmann model for the simulation of multicomponent mixtures. Phys. Rev. E. 76, 046703 (2007)CrossRef
Bhatnagar, P.L., Gross, E.P., Krook, M.: A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Phys. Rev. 94, 511 (1954)CrossRef
Chen, S.: A large-eddy-based lattice Boltzmann model for turbulent flow simulation. Appl. Math. Comput. 215(2), 591–598 (2009)
Chikatamarla, S.S., Ansumali, S., Karlin, I.V.: Grad’s approximation for missing data in lattice Boltzmann simulations. Europhys. Lett. 74(2), 215–221 (2006)MathSciNetCrossRef
D’Humieres, D., Irina, G., Manfred, K., Pierre, L., Luo, L.-S.: Multiple-relaxation-time lattice Boltzmann models in three dimensions. Phil. Trans. R. Soc. Lond. Series A-Math. Phys. Eng. Sci. 360(1792), 437–451 (2002)MathSciNetCrossRef
Deng, L., Zhang, Y., Wen, Y., Zhou, H.: A fractional-step thermal lattice Boltzmann model for high Peclet number flow. Comput. Math. Appl. 70(5), 1152–1161 (2015)
Ding, Y., Kawahara, M.: Linear stability of incompressible fluid flow in a cavity using finite element method. Int. J. Numer. Methods Fluids. 27, 139–157 (1998)MathSciNetCrossRef
Dong, Y.-H., Sagaut, P., Marie, S.: Inertial consistent subgrid model for large-eddy simulation based on the lattice Boltzmann method. Phys. Fluids. 20, 035104 (2008)CrossRef
Dubois, F., Lallemand, P., Tekitek, M.: On a superconvergent lattice Boltzmann boundary scheme. Comput. Math. Appl. 59(7), 2141–2149 (2010)MathSciNetCrossRef
Eggels, J.G.M.: Direct and large-eddy simulation of turbulent fluid flow using the lattice-Boltzmann scheme. Int. J. Heat Fluid Flow. 17(3), 307–323 (1996)CrossRef
Erturk, E., Corke, T.C., Gokcol, C.: Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers. Int. J. Numer. Methods Fluids. 48, 747–774 (2005)CrossRef
Ghia, U., Ghia, K.N., Shin, C.T.: High-re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. J. Comput. Phys. 48, 387–411 (1982)CrossRef
Ginzburg, I.: Equilibrium-type and link-type lattice Boltzmann models for generic advection and anisotropic-dispersion equation. Adv. Water Resour. 28(11), 1171–1195 (2005)CrossRef
Ginzburg, I., Alder, P.M.: Boundary flow condition analysis for the three-dimensional lattice Boltzmann model. J. Phys. II. 4, 191–214 (1994)
Ginzburg, I., d’Humières, D.: Multireflection boundary conditions for lattice Boltzmann models. Phys. Rev. E. 68, 066614 (2002)MathSciNetCrossRef
Ginzburg, I., Verhaeghe, F., d’Humieres, D.: Two-relaxation-time lattice Boltzmann scheme: about parametrization, velocity, pressure and mixed boundary conditions. Commun. Comput. Phys. 3(2), 427–478 (2008)MathSciNet
Hachem, E., Rivaux, B., Kloczko, T., Digonnet, H., Coupez, T.: Stabilized finite element method for incompressible flows with high Reynolds number. J. Comput. Phys. 229, 8643–8665 (2010)MathSciNetCrossRef
He, X., Luo, L.-S.: Theory of the lattice Boltzmann method: from the Boltzmann equation to the lattice Boltzmann equation. Phys. Rev. E. 56, 6811 (1997)CrossRef
Hou, S., Sterling, J., Chen, S., Doolen, G.D.: A lattice Boltzmann Subgrid model for high Reynolds number flows. Fields Inst. Comm. 6, 151–166 (1996)MathSciNetMATH
Karlin, I.V., Succi, S., Chikatamarla, S.S.: Comment on “Numerics of the lattice Boltzmann method: effects of collision models on the lattice Boltzmann simulations”. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 84, 068701 (2011a)CrossRef
Karlin, I., Asinari, P., Succi, S.: Matrix lattice Boltzmann reloaded. Phil. Trans. R. Soc. A. 369, 2202–2210 (2011b)MathSciNetCrossRef
Keating, B., Vahala, G.: Entropic lattice Boltzmann representations required to recover Navier-Stokes flows. Phys. Rev. E. 75, 036712 (2007)MathSciNetCrossRef
Krafczyk, M., Tölke, J., Luo, L.S.: Large-eddy simulations with a multiple-relaxation-time LBE model. Int. J. Mod. Phys. B. 17, 33–39 (2003)CrossRef
Lachowicz, M.: Links between microscopic and macroscopic descriptions. Multiscale Prob. Life Sci., Lecture Notes in Mathematics. 1940, 201–267 (2008)
Lallemand, P., Luo, L.-S.: Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, Galilean invariance, and stability. Phys. Rev. E. 61, 6546 (2000)MathSciNetCrossRef
Lu, Z., Liao, Y., Qian, D., McLaughlin, J.B., Derksen, J.J., Kontomaris, K.: Large eddy simulations of a stirred tank using the lattice Boltzmann method on a Nonuniform grid. J. Comput. Phys. 181, 675–704 (2002)CrossRef
Luo, L.S., Liao, W., Chen, X., Peng, Y., Zhang, W.: Numerics of the lattice Boltzmann method: effects of collision models on the lattice Boltzmann simulations. Phys. Rev. E. 83(056710), 1–24 (2011)
Malaspinas, O., Deville, M., Chopard, B.: Towards a physical interpretation of the entropic lattice Boltzmann method. Phys. Rev. E. 78, 066705 (2008)
Malaspinas, O., Sagaut, P.: Advanced large-eddy simulation for lattice Boltzmann methods: the approximate deconvolution model. Phys. Fluids. 23, 105103 (2011)CrossRef
Mohamad, A.A.: Applied Lattice Boltzmann Method for Transport Phenomena, Momentum, Heat and Mass Transfer. Sure Print, Calgary (2007)
Rogallo, R.S., Moin, P.: Numerical simulation of turbulent flows. Ann. Rev. 16, 99–137 (1984)MATH
Sagaut, P.: Toward advanced subgrid models for lattice-Boltzmann-based large-eddy simulation: theoretical formulations. Comput. Math. Appl. 59(7), 2194–2199 (2010)MathSciNetCrossRef
Sauro, S.: The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (Numerical Mathematics and Scientific Computation). Clarendon Press, Oxford (2001)MATH
Schlatter, P., Stolz, S., Kleiser, L.: Large-eddy simulation of spatial transition in plane channel flow. J. Turbul. 7, 1–24 (2006)MathSciNetCrossRef
Shua, C., Niua, X.D., Chewa, Y.T., Caib, Q.D.: A fractional step lattice Boltzmann method for simulating high Reynolds number flows. Math. Comput. Simul. 72, 201–205 (2006)MathSciNetCrossRef
Stolz, S., Adams, N.A.: An approximate deconvolution procedure for large-eddy simulation. Phys. Fluids. 11(7), 1699–1701 (1999)CrossRef
Wang, J., Wang, D., Lallemand, P., Luo, L.-S.: Lattice Boltzmann simulations of thermal convective flows in two dimensions. Comput. Math. Appl. 65, 262–286 (2013)MathSciNetCrossRef
Weickert, M., Teike, G., Schmidt, O., Sommerfeld, M.: Investigation of the LES WALE turbulence model within the lattice Boltzmann framework. Comput. Math. Appl. 59(7), 2200–2214 (2010)MathSciNetCrossRef
Yasuda, T., Satofuka, N.: An improved entropic lattice Boltzmann model for parallel computation. Comput. Fluids. 45(1), 187–190 (2011)MathSciNetCrossRef
Metadata
Title
Large Eddy Simulation-Based Lattice Boltzmann Method with Different Collision Models
Authors
Mohamed Hamdi
Souheil Elalimi
Sassi Ben Nasrallah
Copyright Year
2018
Book
Exergy for A Better Environment and Improved Sustainability 1

Print ISBN: 978-3-319-62571-3

Electronic ISBN: 978-3-319-62572-0

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-62572-0_43