메뉴 건너뛰기




Volumn 166, Issue 5-6, 2011, Pages 332-342

Multiple-relaxation-time lattice Boltzmann model for generalized Newtonian fluid flows

Author keywords

Generalized Newtonian fluid; Multiple relaxation time lattice Boltzmann model; Non Newtonian fluids

Indexed keywords

ANALYTICAL SOLUTIONS; GENERALIZED NEWTONIAN FLUID; LATTICE BOLTZMANN MODELS; MULTIPLE-RELAXATION-TIME LATTICE BOLTZMANN MODEL; NON-NEWTONIAN FLUIDS; SCIENCE AND ENGINEERING;

EID: 79851513634     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2011.01.002     Document Type: Article
Times cited : (122)

References (42)
  • 3
    • 21344472107 scopus 로고    scopus 로고
    • A 3rd order upwind finite volume method for generalized Newtonian fluid flows
    • Neofytou P. A 3rd order upwind finite volume method for generalized Newtonian fluid flows. Adv. Eng. Softw. 2005, 36:664-680.
    • (2005) Adv. Eng. Softw. , vol.36 , pp. 664-680
    • Neofytou, P.1
  • 4
    • 72849137305 scopus 로고    scopus 로고
    • Modelling of generalized Newtonian lid-driven cavity flow using an SPH method
    • Rafiee A. Modelling of generalized Newtonian lid-driven cavity flow using an SPH method. ANZIAM J. 2008, 49:411-422.
    • (2008) ANZIAM J. , vol.49 , pp. 411-422
    • Rafiee, A.1
  • 5
    • 0028173670 scopus 로고
    • P-version least squares finite element formulation for two-dimensional, incompressible, non-Newtonian, isothermal and isothermal flow
    • Bell B.C., Surana K.S. P-version least squares finite element formulation for two-dimensional, incompressible, non-Newtonian, isothermal and isothermal flow. Int. J. Numer. Methods Fluids 1994, 18:127-162.
    • (1994) Int. J. Numer. Methods Fluids , vol.18 , pp. 127-162
    • Bell, B.C.1    Surana, K.S.2
  • 6
    • 0031192632 scopus 로고    scopus 로고
    • Flows of viscoplastic materials: models and computations
    • Papanastasiou T.C., Boudouvis A.G. Flows of viscoplastic materials: models and computations. Comput. Strut. 1997, 64:677-694.
    • (1997) Comput. Strut. , vol.64 , pp. 677-694
    • Papanastasiou, T.C.1    Boudouvis, A.G.2
  • 7
    • 0023379973 scopus 로고
    • Flow of materials with yield
    • Papanastasiou T.C. Flow of materials with yield. J. Rheol. 1987, 31:385-404.
    • (1987) J. Rheol. , vol.31 , pp. 385-404
    • Papanastasiou, T.C.1
  • 8
    • 55949110797 scopus 로고    scopus 로고
    • An adaptive finite element method for viscoplastic flows in a square pipe with stick-slip at the wall
    • Roquet N., Saramito P. An adaptive finite element method for viscoplastic flows in a square pipe with stick-slip at the wall. J. Non-Newton. Fluid Mech. 2008, 155:101-115.
    • (2008) J. Non-Newton. Fluid Mech. , vol.155 , pp. 101-115
    • Roquet, N.1    Saramito, P.2
  • 9
    • 13844320326 scopus 로고
    • The lattice Boltzmann equation: theory and applications
    • Benzi R., Succi S., Vergassola M. The lattice Boltzmann equation: theory and applications. Phys. Rep. 1992, 222:145-197.
    • (1992) Phys. Rep. , vol.222 , pp. 145-197
    • Benzi, R.1    Succi, S.2    Vergassola, M.3
  • 10
    • 1542471855 scopus 로고    scopus 로고
    • Lattice Boltzmann method for fluid flows
    • Chen S., Doolen G.D. Lattice Boltzmann method for fluid flows. Annu. Rev. Fluid Mech. 1998, 30:329-364.
    • (1998) Annu. Rev. Fluid Mech. , vol.30 , pp. 329-364
    • Chen, S.1    Doolen, G.D.2
  • 12
    • 77950520224 scopus 로고    scopus 로고
    • Lattice-Boltzmann method for complex flows
    • Aidun C.K., Clausen J.R. Lattice-Boltzmann method for complex flows. Annu. Rev. Fluid Mech. 2010, 42:439-472.
    • (2010) Annu. Rev. Fluid Mech. , vol.42 , pp. 439-472
    • Aidun, C.K.1    Clausen, J.R.2
  • 13
    • 28844467175 scopus 로고    scopus 로고
    • Lattice Boltzmann method for non-Newtonian (Power-law) fluids
    • Gabbanelli S., Drazer G., Koplik J. Lattice Boltzmann method for non-Newtonian (Power-law) fluids. Phys. Rev. E 2005, 72:046312.
    • (2005) Phys. Rev. E , vol.72 , pp. 046312
    • Gabbanelli, S.1    Drazer, G.2    Koplik, J.3
  • 14
    • 33947281019 scopus 로고    scopus 로고
    • A second-order accurate lattice Boltzmann non-Newtonian flow model
    • Boyd J., Buick J., Green S. A second-order accurate lattice Boltzmann non-Newtonian flow model. J. Phys. A: Math. Gen. 2006, 39:14241-14247.
    • (2006) J. Phys. A: Math. Gen. , vol.39 , pp. 14241-14247
    • Boyd, J.1    Buick, J.2    Green, S.3
  • 15
    • 39649099735 scopus 로고    scopus 로고
    • Simulation of generalized Newtonian fluids with the lattice Boltzmann method
    • Malaspinas O., Courbebaisse G., Deville M. Simulation of generalized Newtonian fluids with the lattice Boltzmann method. Int. J. Mod. Phys. C 2007, 18:1939-1949.
    • (2007) Int. J. Mod. Phys. C , vol.18 , pp. 1939-1949
    • Malaspinas, O.1    Courbebaisse, G.2    Deville, M.3
  • 16
    • 32944459291 scopus 로고    scopus 로고
    • Simulation of power-law fluid flow through porous media using lattice Boltzmann techniques
    • Sullivan S.P., Gladden L.F., Johns M.L. Simulation of power-law fluid flow through porous media using lattice Boltzmann techniques. J. Non-Newton. Fluid Mech. 2006, 133:91-98.
    • (2006) J. Non-Newton. Fluid Mech. , vol.133 , pp. 91-98
    • Sullivan, S.P.1    Gladden, L.F.2    Johns, M.L.3
  • 17
    • 35348883344 scopus 로고    scopus 로고
    • A numerical method for incompressible non-Newtonian fluid flows based on the lattice Boltzmann method
    • Yoshino M., Hotta Y., Hirozane T., Endo M. A numerical method for incompressible non-Newtonian fluid flows based on the lattice Boltzmann method. J. Non-Newton. Fluid Mech. 2007, 147:69-78.
    • (2007) J. Non-Newton. Fluid Mech. , vol.147 , pp. 69-78
    • Yoshino, M.1    Hotta, Y.2    Hirozane, T.3    Endo, M.4
  • 18
    • 46549084790 scopus 로고    scopus 로고
    • Lattice Boltzmann modeling of Bingham plastics
    • Wang C.H., Ho J.R. Lattice Boltzmann modeling of Bingham plastics. Physics A 2008, 387:4740-4748.
    • (2008) Physics A , vol.387 , pp. 4740-4748
    • Wang, C.H.1    Ho, J.R.2
  • 19
    • 55949128625 scopus 로고    scopus 로고
    • Lattice-Boltzmann method for yield-stress liquids
    • Vikhansky A. Lattice-Boltzmann method for yield-stress liquids. J. Non-Newton. Fluid Mech. 2008, 155:95-100.
    • (2008) J. Non-Newton. Fluid Mech. , vol.155 , pp. 95-100
    • Vikhansky, A.1
  • 20
    • 58249143875 scopus 로고    scopus 로고
    • Electroosmotic flow of non-Newtonian fluid in microchannels
    • Tang G.H., Li X.F., He Y.L., Tao W.Q. Electroosmotic flow of non-Newtonian fluid in microchannels. J. Non-Newton. Fluid Mech. 2009, 157:133-137.
    • (2009) J. Non-Newton. Fluid Mech. , vol.157 , pp. 133-137
    • Tang, G.H.1    Li, X.F.2    He, Y.L.3    Tao, W.Q.4
  • 21
    • 70449449496 scopus 로고    scopus 로고
    • The unstructured lattice Boltzmann method for non-Newtonian flows
    • Pontrelli G., Ubertini S., Succi S. The unstructured lattice Boltzmann method for non-Newtonian flows. J. Stat. Mech. 2009, 2009:06005.
    • (2009) J. Stat. Mech. , vol.2009 , pp. 06005
    • Pontrelli, G.1    Ubertini, S.2    Succi, S.3
  • 22
    • 67650566167 scopus 로고    scopus 로고
    • A comparison of non-Newtonian models for lattice Boltzmann blood flow simulations
    • Ashrafizaadeh M., Bakhshaei H. A comparison of non-Newtonian models for lattice Boltzmann blood flow simulations. Comput. Math. Appl. 2009, 58:1045-1054.
    • (2009) Comput. Math. Appl. , vol.58 , pp. 1045-1054
    • Ashrafizaadeh, M.1    Bakhshaei, H.2
  • 23
    • 84956111432 scopus 로고
    • Lattice BGK models for Navier-Stokes equation
    • Qian Y.H., d'Humeier D., Lallemand P. Lattice BGK models for Navier-Stokes equation. Europhys. Lett. 1992, 17:479-484.
    • (1992) Europhys. Lett. , vol.17 , pp. 479-484
    • Qian, Y.H.1    d'Humeier, D.2    Lallemand, P.3
  • 24
    • 4243825742 scopus 로고    scopus 로고
    • Theory of the lattice Boltzmann method: from the Boltzmann equation to the lattice Boltzmann equation
    • He X., Luo L.-S. Theory of the lattice Boltzmann method: from the Boltzmann equation to the lattice Boltzmann equation. Phys. Rev. E 1997, 56:6811-6817.
    • (1997) Phys. Rev. E , vol.56 , pp. 6811-6817
    • He, X.1    Luo, L.-S.2
  • 25
    • 0034206379 scopus 로고    scopus 로고
    • Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, and stability
    • Lallemand P., Luo L.-S. Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, and stability. Phys. Rev. E 2000, 61:6546-6562.
    • (2000) Phys. Rev. E , vol.61 , pp. 6546-6562
    • Lallemand, P.1    Luo, L.-S.2
  • 27
    • 33746645987 scopus 로고    scopus 로고
    • Simulating high Reynolds number flow in two-dimensional lid-driven cavity by multi-relaxation-time lattice Boltzmann method
    • Chai Z.H., Shi B.C., Zheng L. Simulating high Reynolds number flow in two-dimensional lid-driven cavity by multi-relaxation-time lattice Boltzmann method. Chin. Phys. 2006, 15:1855-1862.
    • (2006) Chin. Phys. , vol.15 , pp. 1855-1862
    • Chai, Z.H.1    Shi, B.C.2    Zheng, L.3
  • 28
    • 0001681816 scopus 로고
    • Generalized lattice-Boltzmann equations, in: Rarefied Gas Dynamics: Theory and Simulations, of Progress in Astronautics and Aeronautics, AIAA Press, Washington, DC.
    • D. d'Humières, Generalized lattice-Boltzmann equations, in: Rarefied Gas Dynamics: Theory and Simulations, vol. 159 of Progress in Astronautics and Aeronautics, AIAA Press, Washington, DC, 1992, pp. 450-458.
    • (1992) , vol.159 , pp. 450-458
    • d'Humières, D.1
  • 29
    • 0035514986 scopus 로고    scopus 로고
    • Flow of Bingham plastics in a lid-driven square cavity
    • Mitsoulis E., Zisis T. Flow of Bingham plastics in a lid-driven square cavity. J. Non-Newton. Fluid Mech. 2001, 101:173-180.
    • (2001) J. Non-Newton. Fluid Mech. , vol.101 , pp. 173-180
    • Mitsoulis, E.1    Zisis, T.2
  • 30
    • 0028746905 scopus 로고
    • Entry and exit flows of Casson fluids
    • Pham T.V., Mitsoulis E. Entry and exit flows of Casson fluids. Can. J. Chem. Eng. 1994, 72:1080-1084.
    • (1994) Can. J. Chem. Eng. , vol.72 , pp. 1080-1084
    • Pham, T.V.1    Mitsoulis, E.2
  • 31
    • 65549140132 scopus 로고    scopus 로고
    • Shear stress in lattice Boltzmann simulations
    • Krüger T., Varnik F., Raabe D. Shear stress in lattice Boltzmann simulations. Phys. Rev. E 2009, 79:046704.
    • (2009) Phys. Rev. E , vol.79 , pp. 046704
    • Krüger, T.1    Varnik, F.2    Raabe, D.3
  • 32
    • 77955582804 scopus 로고    scopus 로고
    • Second-order convergence of the deviatoric stress tensor in the standard Bhatnagar-Gross-Krook lattice Boltzmann method
    • Krüger T., Varnik F., Raabe D. Second-order convergence of the deviatoric stress tensor in the standard Bhatnagar-Gross-Krook lattice Boltzmann method. Phys. Rev. E 2010, 82:025701.
    • (2010) Phys. Rev. E , vol.82 , pp. 025701
    • Krüger, T.1    Varnik, F.2    Raabe, D.3
  • 33
    • 0036334507 scopus 로고    scopus 로고
    • Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method
    • Guo Z.L., Zheng C.G., Shi B.C. Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method. Chin. Phys. 2002, 11:366-374.
    • (2002) Chin. Phys. , vol.11 , pp. 366-374
    • Guo, Z.L.1    Zheng, C.G.2    Shi, B.C.3
  • 34
    • 0030740735 scopus 로고    scopus 로고
    • Further contributions on the two-dimensional flow in a sudden expansion
    • Alleborn N., Nandakumar K., Raszillier H., Drust F. Further contributions on the two-dimensional flow in a sudden expansion. J. Fluid Mech. 1997, 330:169-188.
    • (1997) J. Fluid Mech. , vol.330 , pp. 169-188
    • Alleborn, N.1    Nandakumar, K.2    Raszillier, H.3    Drust, F.4
  • 35
    • 0024010407 scopus 로고
    • Finite-element simulation of laminar viscoplastic flows with regions of recirculation
    • Scott P.S., Mirza F., Vlachopoulos J. Finite-element simulation of laminar viscoplastic flows with regions of recirculation. J. Rheol. 1988, 32:387-400.
    • (1988) J. Rheol. , vol.32 , pp. 387-400
    • Scott, P.S.1    Mirza, F.2    Vlachopoulos, J.3
  • 37
    • 49049143188 scopus 로고
    • High-Re solution for incompressible flow using the Navier-Stokes equations and a multigrid method
    • Ghia U., Ghia K.N., Shin C.Y. High-Re solution for incompressible flow using the Navier-Stokes equations and a multigrid method. J. Comput. Phys. 1982, 48:387-394.
    • (1982) J. Comput. Phys. , vol.48 , pp. 387-394
    • Ghia, U.1    Ghia, K.N.2    Shin, C.Y.3
  • 38
    • 0038625303 scopus 로고    scopus 로고
    • Laminar unsteady flows of Bingham fluids: a numerical strategy and some benchmark results
    • Vola D., Boscardin L., Latché J.C. Laminar unsteady flows of Bingham fluids: a numerical strategy and some benchmark results. J. Comput. Phys. 2003, 187:441-456.
    • (2003) J. Comput. Phys. , vol.187 , pp. 441-456
    • Vola, D.1    Boscardin, L.2    Latché, J.C.3
  • 39
    • 33646764572 scopus 로고    scopus 로고
    • An evaluation of lattice Boltzmann schemes for porous medium flow simulation
    • Pan C., Luo L.-S., Miller C.T. An evaluation of lattice Boltzmann schemes for porous medium flow simulation. Comput. Fluids 2006, 35:898-909.
    • (2006) Comput. Fluids , vol.35 , pp. 898-909
    • Pan, C.1    Luo, L.-S.2    Miller, C.T.3
  • 40
    • 77956338532 scopus 로고    scopus 로고
    • Non-Darcy flow in disordered porous media: a lattice Boltzmann study
    • Chai Z., Shi B., Lu J., Guo Z. Non-Darcy flow in disordered porous media: a lattice Boltzmann study. Comput. Fluids 2010, 39:2069-2077.
    • (2010) Comput. Fluids , vol.39 , pp. 2069-2077
    • Chai, Z.1    Shi, B.2    Lu, J.3    Guo, Z.4
  • 41
    • 41549112062 scopus 로고    scopus 로고
    • Lattice Boltzmann equation with multiple effective relaxation times for gaseous microscale flow
    • Guo Z., Zheng C., Shi B. Lattice Boltzmann equation with multiple effective relaxation times for gaseous microscale flow. Phys. Rev. E 2008, 77:036707.
    • (2008) Phys. Rev. E , vol.77 , pp. 036707
    • Guo, Z.1    Zheng, C.2    Shi, B.3
  • 42
    • 77958546403 scopus 로고    scopus 로고
    • Gas flow through square arrays of circular cylinders with Klinkenberg effect: a lattice Boltzmann study
    • Chai Z., Shi B., Guo Z., Lu J. Gas flow through square arrays of circular cylinders with Klinkenberg effect: a lattice Boltzmann study. Commun. Comput. Phys. 2010, 8:1052-1073.
    • (2010) Commun. Comput. Phys. , vol.8 , pp. 1052-1073
    • Chai, Z.1    Shi, B.2    Guo, Z.3    Lu, J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.