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Volumn 227, Issue 10, 2008, Pages 4955-4976

A comparative study of the LBE and GKS methods for 2D near incompressible laminar flows

Author keywords

2D flow past a square in a channel; Gas kinetic scheme; Incompressible flows; Lattice Boltzmann equation; Linearized Boltzmann equation

Indexed keywords

BOLTZMANN EQUATION; FINITE DIFFERENCE METHOD; FINITE VOLUME METHOD; KINETICS; LAMINAR FLOW; MACH NUMBER; REYNOLDS NUMBER;

EID: 41249103695     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2008.01.024     Document Type: Article
Times cited : (130)

References (63)
  • 1
    • 85190080778 scopus 로고    scopus 로고
    • B. Van Leer, Computational fluid dynamics: science or toolbox, in: AIAA Paper 2001-2520, 2001.
    • B. Van Leer, Computational fluid dynamics: science or toolbox, in: AIAA Paper 2001-2520, 2001.
  • 2
    • 85190082150 scopus 로고    scopus 로고
    • M. Karttunen, I. Vattulainen, A. Lukkarinen (Eds.), Novel Methods in Soft Matter Simulations, vol. 640 of Lecture Notes in Physics, Springer, Berlin, 2004.
    • M. Karttunen, I. Vattulainen, A. Lukkarinen (Eds.), Novel Methods in Soft Matter Simulations, vol. 640 of Lecture Notes in Physics, Springer, Berlin, 2004.
  • 3
    • 0038359301 scopus 로고    scopus 로고
    • Viscous flow computations with the method of lattice Boltzmann equation
    • Yu D., Mei R., Luo L.-S., and Shyy W. Viscous flow computations with the method of lattice Boltzmann equation. Prog. Aerospace Sci. 39 (2003) 329-367
    • (2003) Prog. Aerospace Sci. , vol.39 , pp. 329-367
    • Yu, D.1    Mei, R.2    Luo, L.-S.3    Shyy, W.4
  • 4
    • 0001445852 scopus 로고    scopus 로고
    • A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method
    • Xu K. A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method. J. Comput. Phys. 171 1 (2001) 289-335
    • (2001) J. Comput. Phys. , vol.171 , Issue.1 , pp. 289-335
    • Xu, K.1
  • 5
    • 0242628979 scopus 로고    scopus 로고
    • Theory of the lattice Boltzmann method: acoustic and thermal properties in two and three dimensions
    • Lallemand P., and Luo L.-S. Theory of the lattice Boltzmann method: acoustic and thermal properties in two and three dimensions. Phys. Rev. E 68 (2003) 036706
    • (2003) Phys. Rev. E , vol.68 , pp. 036706
    • Lallemand, P.1    Luo, L.-S.2
  • 6
    • 0037825687 scopus 로고    scopus 로고
    • Rayleigh-Bénard simulation using the gas-kinetic Bhatnagar-Gross-Krook scheme in the incompressible limit
    • Xu K., and Lui S.H. Rayleigh-Bénard simulation using the gas-kinetic Bhatnagar-Gross-Krook scheme in the incompressible limit. Phys. Rev. E 60 1 (1999) 464-470
    • (1999) Phys. Rev. E , vol.60 , Issue.1 , pp. 464-470
    • Xu, K.1    Lui, S.H.2
  • 7
    • 0037141036 scopus 로고    scopus 로고
    • A well-balanced gas-kinetic scheme for the shallow-water equations with source terms
    • Xu K. A well-balanced gas-kinetic scheme for the shallow-water equations with source terms. J. Comput. Phys. 178 2 (2002) 533-562
    • (2002) J. Comput. Phys. , vol.178 , Issue.2 , pp. 533-562
    • Xu, K.1
  • 8
    • 24844466239 scopus 로고
    • Lattice Boltzmann model for simulating flows with multiple phases and components
    • Shan X., and Chen H. Lattice Boltzmann model for simulating flows with multiple phases and components. Phys. Rev. E 47 (1993) 1815-1819
    • (1993) Phys. Rev. E , vol.47 , pp. 1815-1819
    • Shan, X.1    Chen, H.2
  • 9
    • 0000192442 scopus 로고    scopus 로고
    • Unified theory of the lattice Boltzmann models for nonideal gases
    • Luo L.-S. Unified theory of the lattice Boltzmann models for nonideal gases. Phys. Rev. Lett. 81 (1998) 1618-1621
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 1618-1621
    • Luo, L.-S.1
  • 10
    • 0034297477 scopus 로고    scopus 로고
    • Theory of lattice Boltzmann method: lattice Boltzmann models for nonideal gases
    • Luo L.-S. Theory of lattice Boltzmann method: lattice Boltzmann models for nonideal gases. Phys. Rev. E 62 (2000) 4982-4996
    • (2000) Phys. Rev. E , vol.62 , pp. 4982-4996
    • Luo, L.-S.1
  • 11
    • 0242495249 scopus 로고    scopus 로고
    • Discrete velocity and lattice Boltzmann models for binary mixtures of nonideal fluids
    • Guo Z.L., and Zhao T.S. Discrete velocity and lattice Boltzmann models for binary mixtures of nonideal fluids. Phys. Rev. E 68 (2003) 035302
    • (2003) Phys. Rev. E , vol.68 , pp. 035302
    • Guo, Z.L.1    Zhao, T.S.2
  • 12
    • 41349113515 scopus 로고    scopus 로고
    • Lattice Boltzmann model for binary mixtures
    • Luo L.-S., and Girimaji S.S. Lattice Boltzmann model for binary mixtures. Phys. Rev. E 66 (2002) 035301R
    • (2002) Phys. Rev. E , vol.66
    • Luo, L.-S.1    Girimaji, S.S.2
  • 13
    • 42749098099 scopus 로고    scopus 로고
    • Theory of the lattice Boltzmann method: two-fluid model for binary mixtures
    • Luo L.-S., and Girimaji S.S. Theory of the lattice Boltzmann method: two-fluid model for binary mixtures. Phys. Rev. E 67 (2003) 036302
    • (2003) Phys. Rev. E , vol.67 , pp. 036302
    • Luo, L.-S.1    Girimaji, S.S.2
  • 14
    • 21244431571 scopus 로고    scopus 로고
    • Viscous coupling based lattice Boltzmann model for binary mixtures
    • Asinari P. Viscous coupling based lattice Boltzmann model for binary mixtures. Phys. Fluid 17 6 (2005) 067102
    • (2005) Phys. Fluid , vol.17 , Issue.6 , pp. 067102
    • Asinari, P.1
  • 15
    • 40249116648 scopus 로고    scopus 로고
    • A consistent lattice Boltzmann equation with baroclinic coupling for mixtures
    • Asinari P., and Luo L.-S. A consistent lattice Boltzmann equation with baroclinic coupling for mixtures. J. Comput. Phys. 227 8 (2008) 3878-3895
    • (2008) J. Comput. Phys. , vol.227 , Issue.8 , pp. 3878-3895
    • Asinari, P.1    Luo, L.-S.2
  • 16
    • 0342757749 scopus 로고    scopus 로고
    • A gas-kinetic scheme for reactive flows
    • Lian Y.S., and Xu K. A gas-kinetic scheme for reactive flows. Comput. Fluid 29 7 (2000) 725-748
    • (2000) Comput. Fluid , vol.29 , Issue.7 , pp. 725-748
    • Lian, Y.S.1    Xu, K.2
  • 17
    • 0008072575 scopus 로고    scopus 로고
    • A gas-kinetic scheme for multimaterial flows and its application in chemical reactions
    • Lian Y.S., and Xu K. A gas-kinetic scheme for multimaterial flows and its application in chemical reactions. J. Comput. Phys. 163 2 (2000) 349-375
    • (2000) J. Comput. Phys. , vol.163 , Issue.2 , pp. 349-375
    • Lian, Y.S.1    Xu, K.2
  • 18
    • 0037054259 scopus 로고    scopus 로고
    • Lattice kinetic schemes for magnetohydrodynamics
    • Dellar P. Lattice kinetic schemes for magnetohydrodynamics. J. Comput. Phys. 163 (2002) 95-126
    • (2002) J. Comput. Phys. , vol.163 , pp. 95-126
    • Dellar, P.1
  • 19
    • 0011982257 scopus 로고    scopus 로고
    • A high-order gas-kinetic method for multidimensional ideal magneto-hydro-dynamics
    • Tang H.Z., and Xu K. A high-order gas-kinetic method for multidimensional ideal magneto-hydro-dynamics. J. Comput. Phys. 165 1 (2000) 69-88
    • (2000) J. Comput. Phys. , vol.165 , Issue.1 , pp. 69-88
    • Tang, H.Z.1    Xu, K.2
  • 20
    • 0009582749 scopus 로고    scopus 로고
    • Gas-kinetic theory-based flux splitting method for ideal magneto-hydro-dynamics
    • Xu K. Gas-kinetic theory-based flux splitting method for ideal magneto-hydro-dynamics. J. Comput. Phys. 153 2 (1999) 334-352
    • (1999) J. Comput. Phys. , vol.153 , Issue.2 , pp. 334-352
    • Xu, K.1
  • 21
    • 33645943380 scopus 로고    scopus 로고
    • Physical symmetry, spatial accuracy, and relaxation time of the lattice Boltzmann equation for microgas flows
    • Guo Z.L., Zhao T.S., and Shi Y. Physical symmetry, spatial accuracy, and relaxation time of the lattice Boltzmann equation for microgas flows. J. Appl. Phys. 99 (2006) 074903
    • (2006) J. Appl. Phys. , vol.99 , pp. 074903
    • Guo, Z.L.1    Zhao, T.S.2    Shi, Y.3
  • 22
    • 85190078489 scopus 로고    scopus 로고
    • Lattice Boltzmann modelling of microchannel flow in slip flow regime
    • Verhaeghe F., Luo L.-S., and Blanpain B. Lattice Boltzmann modelling of microchannel flow in slip flow regime. Phys. Fluid (2006)
    • (2006) Phys. Fluid
    • Verhaeghe, F.1    Luo, L.-S.2    Blanpain, B.3
  • 23
    • 0041324680 scopus 로고    scopus 로고
    • Super-Burnett solutions for Poiseuille flow
    • Xu K. Super-Burnett solutions for Poiseuille flow. Phys. Fluid 15 (2003) 2077-2080
    • (2003) Phys. Fluid , vol.15 , pp. 2077-2080
    • Xu, K.1
  • 24
    • 4344664277 scopus 로고    scopus 로고
    • Microchannel flow in the slip regime: gas-kinetic BGK-Burnett solutions
    • Xu K., and Li Z.H. Microchannel flow in the slip regime: gas-kinetic BGK-Burnett solutions. J. Fluid Mech. 513 (2004) 87-110
    • (2004) J. Fluid Mech. , vol.513 , pp. 87-110
    • Xu, K.1    Li, Z.H.2
  • 25
    • 0041856299 scopus 로고    scopus 로고
    • Lattice Boltzmann method and gas-kinetic BGK scheme in the low-Mach number viscous flow simulations
    • Xu K., and He X.Y. Lattice Boltzmann method and gas-kinetic BGK scheme in the low-Mach number viscous flow simulations. J. Comput. Phys. 190 1 (2003) 100-117
    • (2003) J. Comput. Phys. , vol.190 , Issue.1 , pp. 100-117
    • Xu, K.1    He, X.Y.2
  • 26
    • 26344468007 scopus 로고
    • A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems
    • Bhatnagar P.L., Gross E.P., and Krook M. A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Phys. Rev. 94 (1954) 511-525
    • (1954) Phys. Rev. , vol.94 , pp. 511-525
    • Bhatnagar, P.L.1    Gross, E.P.2    Krook, M.3
  • 27
    • 84956111432 scopus 로고
    • Lattice BGK models for Navier-Stokes equation
    • Qian Y., d'Humières D., and Lallemand P. Lattice BGK models for Navier-Stokes equation. Europhys. Lett. 17 (1992) 479-484
    • (1992) Europhys. Lett. , vol.17 , pp. 479-484
    • Qian, Y.1    d'Humières, D.2    Lallemand, P.3
  • 28
    • 25344468527 scopus 로고
    • Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method
    • Chen H., Chen S., and Matthaeus H.W. Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method. Phys. Rev. A 45 (1992) R5339-R5342
    • (1992) Phys. Rev. A , vol.45
    • Chen, H.1    Chen, S.2    Matthaeus, H.W.3
  • 29
    • 1442354774 scopus 로고    scopus 로고
    • Multireflection boundary conditions for lattice Boltzmann models
    • Ginzburg I., and d'Humières D. Multireflection boundary conditions for lattice Boltzmann models. Phys. Rev. E 68 (2003) 066614
    • (2003) Phys. Rev. E , vol.68 , pp. 066614
    • Ginzburg, I.1    d'Humières, D.2
  • 30
    • 33646764572 scopus 로고    scopus 로고
    • An evaluation of lattice Boltzmann schemes for porous medium flow simulation
    • Pan C., Luo L.-S., and Miller C.T. An evaluation of lattice Boltzmann schemes for porous medium flow simulation. Comput. Fluid 35 8/9 (2006) 898-909
    • (2006) Comput. Fluid , vol.35 , Issue.8-9 , pp. 898-909
    • Pan, C.1    Luo, L.-S.2    Miller, C.T.3
  • 31
    • 85190072993 scopus 로고    scopus 로고
    • D. d'Humières, Generalized lattice-Boltzmann equations, in: B.D. Shizgal, D.P. Weave (Eds.), Rarefied Gas Dynamics: Theory and Simulations, vol. 159 of Prog. Astronaut. Aeronaut., AIAA, Washington, DC, 1992, pp. 450-458.
    • D. d'Humières, Generalized lattice-Boltzmann equations, in: B.D. Shizgal, D.P. Weave (Eds.), Rarefied Gas Dynamics: Theory and Simulations, vol. 159 of Prog. Astronaut. Aeronaut., AIAA, Washington, DC, 1992, pp. 450-458.
  • 32
    • 0034021977 scopus 로고    scopus 로고
    • Accurate computations of the laminar flow past a square cylinder based on two different methods: lattice-Boltzmann and finite-volume
    • Breuer M., Bernsdorf J., Zeiser T., and Durst F. Accurate computations of the laminar flow past a square cylinder based on two different methods: lattice-Boltzmann and finite-volume. Int. J. Heat Fluid Flow 21 (2000) 186-196
    • (2000) Int. J. Heat Fluid Flow , vol.21 , pp. 186-196
    • Breuer, M.1    Bernsdorf, J.2    Zeiser, T.3    Durst, F.4
  • 35
    • 0001294845 scopus 로고
    • Principles of the kinetic theory of gases
    • Flügge S. (Ed), Springer, Berlin
    • Grad H. Principles of the kinetic theory of gases. In: Flügge S. (Ed). Handbuch der Physik (1958), Springer, Berlin 204-294
    • (1958) Handbuch der Physik , pp. 204-294
    • Grad, H.1
  • 36
    • 0001441428 scopus 로고
    • Kinetic models and the linearized Boltzmann equation
    • Gross E.P., and Jackson E.A. Kinetic models and the linearized Boltzmann equation. Phys. Fluid 2 4 (1959) 432-441
    • (1959) Phys. Fluid , vol.2 , Issue.4 , pp. 432-441
    • Gross, E.P.1    Jackson, E.A.2
  • 37
    • 0001207344 scopus 로고    scopus 로고
    • A priori derivation of the lattice Boltzmann equation
    • He X., and Luo L.-S. A priori derivation of the lattice Boltzmann equation. Phys. Rev. E 55 (1997) R6333-R6336
    • (1997) Phys. Rev. E , vol.55
    • He, X.1    Luo, L.-S.2
  • 38
    • 4243825742 scopus 로고    scopus 로고
    • Theory of lattice Boltzmann method: from the Boltzmann equation to the lattice Boltzmann equation
    • He X., and Luo L.-S. Theory of lattice Boltzmann method: from the Boltzmann equation to the lattice Boltzmann equation. Phys. Rev. E 56 (1997) 6811-6817
    • (1997) Phys. Rev. E , vol.56 , pp. 6811-6817
    • He, X.1    Luo, L.-S.2
  • 39
    • 23844537591 scopus 로고    scopus 로고
    • Asymptotic analysis of the lattice Boltzmann equation
    • Junk M., Klar A., and Luo L.-S. Asymptotic analysis of the lattice Boltzmann equation. J. Comput. Phys. 210 2 (2005) 676-704
    • (2005) J. Comput. Phys. , vol.210 , Issue.2 , pp. 676-704
    • Junk, M.1    Klar, A.2    Luo, L.-S.3
  • 41
    • 0037139655 scopus 로고    scopus 로고
    • On the construction of kinetic schemes
    • Ohwada T. On the construction of kinetic schemes. J. Comput. Phys. 177 (2002) 156-175
    • (2002) J. Comput. Phys. , vol.177 , pp. 156-175
    • Ohwada, T.1
  • 42
    • 0034206379 scopus 로고    scopus 로고
    • Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, Galilean invariance, and stability
    • Lallemand P., and Luo L.-S. Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, Galilean invariance, and stability. Phys. Rev. E 61 (2000) 6546-6562
    • (2000) Phys. Rev. E , vol.61 , pp. 6546-6562
    • Lallemand, P.1    Luo, L.-S.2
  • 44
    • 85190086455 scopus 로고    scopus 로고
    • R. Rubinstein, L.-S. Luo, Theory of the lattice Boltzmann equation: symmetry properties of discrete velocity sets, Phys. Rev. E (2008), in press.
    • R. Rubinstein, L.-S. Luo, Theory of the lattice Boltzmann equation: symmetry properties of discrete velocity sets, Phys. Rev. E (2008), in press.
  • 45
    • 13644274123 scopus 로고    scopus 로고
    • The kinetic scheme for the full-Burnett equations
    • Ohwada T., and Xu K. The kinetic scheme for the full-Burnett equations. J. Comput. Phys. 201 (2004) 315-332
    • (2004) J. Comput. Phys. , vol.201 , pp. 315-332
    • Ohwada, T.1    Xu, K.2
  • 46
    • 0021286269 scopus 로고
    • A numerical-experimental study of confined flow around rectangular cylinders
    • Davis R.W., Moore E.F., and Purtell L.P. A numerical-experimental study of confined flow around rectangular cylinders. Phys. Fluid A 27 (1984) 46-59
    • (1984) Phys. Fluid A , vol.27 , pp. 46-59
    • Davis, R.W.1    Moore, E.F.2    Purtell, L.P.3
  • 47
    • 0026880256 scopus 로고
    • Numerical investigation of confined wakes behind a square cylinder in a channel
    • Mukhopadhyay A., Biswas G., and Sundararajan T. Numerical investigation of confined wakes behind a square cylinder in a channel. Int. J. Numer. Method Fluid 14 (1992) 1473-1484
    • (1992) Int. J. Numer. Method Fluid , vol.14 , pp. 1473-1484
    • Mukhopadhyay, A.1    Biswas, G.2    Sundararajan, T.3
  • 48
    • 0027553078 scopus 로고
    • Unsteady flow in a channel obstructed by a square rod (crisscross motion of vortex)
    • Suzuki H., Inoue Y., Nishimura T., Fukutani F., and Suzuki K. Unsteady flow in a channel obstructed by a square rod (crisscross motion of vortex). Int. J. Heat Fluid Flow 14 (1993) 2-9
    • (1993) Int. J. Heat Fluid Flow , vol.14 , pp. 2-9
    • Suzuki, H.1    Inoue, Y.2    Nishimura, T.3    Fukutani, F.4    Suzuki, K.5
  • 49
    • 0028461975 scopus 로고
    • Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation
    • Ladd A.J.C. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation. J. Fluid Mech. 271 (1994) 285-309
    • (1994) J. Fluid Mech. , vol.271 , pp. 285-309
    • Ladd, A.J.C.1
  • 50
    • 0028460854 scopus 로고
    • Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results
    • Ladd A.J.C. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results. J. Fluid Mech. 271 (1994) 311-339
    • (1994) J. Fluid Mech. , vol.271 , pp. 311-339
    • Ladd, A.J.C.1
  • 51
    • 0035538509 scopus 로고    scopus 로고
    • Lattice Boltzmann simulations of particle-fluid suspensions
    • Ladd A.J.C., and Verberg R. Lattice Boltzmann simulations of particle-fluid suspensions. J. Stat. Phys. 104 (2001) 1191-1251
    • (2001) J. Stat. Phys. , vol.104 , pp. 1191-1251
    • Ladd, A.J.C.1    Verberg, R.2
  • 52
    • 0001133794 scopus 로고
    • Boundary flow condition analysis for the three-dimensional lattice Boltzmann model
    • Ginzbourg I., and Adler P.M. Boundary flow condition analysis for the three-dimensional lattice Boltzmann model. J. Phys. II 4 (1994) 191-214
    • (1994) J. Phys. II , vol.4 , pp. 191-214
    • Ginzbourg, I.1    Adler, P.M.2
  • 53
    • 0035504923 scopus 로고    scopus 로고
    • Momentum transfer of Boltzmann-lattice fluid with boundaries
    • Bouzidi M., Firdaouss M., and Lallemand P. Momentum transfer of Boltzmann-lattice fluid with boundaries. Phys. Fluid 13 (2001) 3452-3459
    • (2001) Phys. Fluid , vol.13 , pp. 3452-3459
    • Bouzidi, M.1    Firdaouss, M.2    Lallemand, P.3
  • 54
    • 41349122644 scopus 로고    scopus 로고
    • Force evaluation in the lattice Boltzmann method involving curved geometry
    • Mei R., Yu D., Shyy W., and Luo L.-S. Force evaluation in the lattice Boltzmann method involving curved geometry. Phys. Rev. E 65 (2002) 041203
    • (2002) Phys. Rev. E , vol.65 , pp. 041203
    • Mei, R.1    Yu, D.2    Shyy, W.3    Luo, L.-S.4
  • 55
    • 33749612583 scopus 로고    scopus 로고
    • Stability and consistency of kinetic upwinding for advection-diffussion equations
    • Torrilhon M., and Xu K. Stability and consistency of kinetic upwinding for advection-diffussion equations. IMA J. Numer. Anal. 26 4 (2006) 686-722
    • (2006) IMA J. Numer. Anal. , vol.26 , Issue.4 , pp. 686-722
    • Torrilhon, M.1    Xu, K.2
  • 56
    • 0031206171 scopus 로고    scopus 로고
    • Lattice Boltzmann model for the incompressible Navier-Stokes equation
    • He X., and Luo L.-S. Lattice Boltzmann model for the incompressible Navier-Stokes equation. J. Stat. Phys. 88 (1997) 927-944
    • (1997) J. Stat. Phys. , vol.88 , pp. 927-944
    • He, X.1    Luo, L.-S.2
  • 57
    • 0041810941 scopus 로고    scopus 로고
    • Implicit discretization and nonuniform mesh refinement approaches for FD discretizations of LBGK models
    • Tölke J., Krafczyk M., Schulz M., Rank E., and Berrios R. Implicit discretization and nonuniform mesh refinement approaches for FD discretizations of LBGK models. Int. J. Mod. Phys. C 9 (1998) 1143-1157
    • (1998) Int. J. Mod. Phys. C , vol.9 , pp. 1143-1157
    • Tölke, J.1    Krafczyk, M.2    Schulz, M.3    Rank, E.4    Berrios, R.5
  • 58
    • 0141560661 scopus 로고    scopus 로고
    • A multigrid solver for the discrete Boltzmann equation
    • Tölke J., Krafczyk M., and Rank E. A multigrid solver for the discrete Boltzmann equation. J. Stat. Phys. 107 (2002) 573-591
    • (2002) J. Stat. Phys. , vol.107 , pp. 573-591
    • Tölke, J.1    Krafczyk, M.2    Rank, E.3
  • 59
    • 33646764573 scopus 로고    scopus 로고
    • Multigrid solution of the steady-state lattice Boltzmann equation
    • Mavriplis D.J. Multigrid solution of the steady-state lattice Boltzmann equation. Comput. Fluid 35 (2006) 793-804
    • (2006) Comput. Fluid , vol.35 , pp. 793-804
    • Mavriplis, D.J.1
  • 60
    • 41349101290 scopus 로고    scopus 로고
    • Preconditioned lattice-Boltzmann method for steady flows
    • Guo Z.L., Zhao T.S., and Shi Y. Preconditioned lattice-Boltzmann method for steady flows. Phys. Rev. E 70 (2004) 066706
    • (2004) Phys. Rev. E , vol.70 , pp. 066706
    • Guo, Z.L.1    Zhao, T.S.2    Shi, Y.3
  • 61
    • 13644273552 scopus 로고    scopus 로고
    • A multidimensional gas-kinetic BGK scheme for hypersonic viscous flow
    • Xu K., Mao M.L., and Tang L. A multidimensional gas-kinetic BGK scheme for hypersonic viscous flow. J. Comput. Phys. 203 2 (2005) 405-421
    • (2005) J. Comput. Phys. , vol.203 , Issue.2 , pp. 405-421
    • Xu, K.1    Mao, M.L.2    Tang, L.3
  • 62
    • 0038149990 scopus 로고    scopus 로고
    • Simulations of compressible flows with strong shocks by an adaptive lattice Boltzmann model
    • Sun C. Simulations of compressible flows with strong shocks by an adaptive lattice Boltzmann model. J. Comput. Phys. 161 (2000) 70-84
    • (2000) J. Comput. Phys. , vol.161 , pp. 70-84
    • Sun, C.1
  • 63
    • 0038629361 scopus 로고    scopus 로고
    • Adaptive lattice Boltzmann model for compressible flows: viscous and conductive properties
    • Sun C. Adaptive lattice Boltzmann model for compressible flows: viscous and conductive properties. Phys. Rev. E 61 (2000) 2645-2653
    • (2000) Phys. Rev. E , vol.61 , pp. 2645-2653
    • Sun, C.1


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