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Volumn 34, Issue 1, 2008, Pages 87-112

Discrete rotational symmetry, moment isotropy, and higher order lattice Boltzmann models

Author keywords

Discrete rotational symmetry; Fluid dynamics; Lattice Boltzmann method; Moment isotropy

Indexed keywords

DISCRETE ROTATIONAL SYMMETRY; LATTICE BOLTZMANN METHOD; MOMENT ISOTROPY;

EID: 37549058406     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-007-9159-3     Document Type: Article
Times cited : (65)

References (31)
  • 1
    • 0035477840 scopus 로고    scopus 로고
    • Beyond Navier-Stokes: Burnett equations for flows in the continuum-transition regime
    • Agarwal, R., Yun, K.-Y., Balakrishnan, R.: Beyond Navier-Stokes: Burnett equations for flows in the continuum-transition regime. Phys. Fluids 13, 3061-3085 (2001)
    • (2001) Phys. Fluids , vol.13 , pp. 3061-3085
    • Agarwal, R.1    Yun, K.-Y.2    Balakrishnan, R.3
  • 2
    • 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. 222, 145-197 (1992)
    • (1992) Phys. Rep. , vol.222 , pp. 145-197
    • Benzi, R.1    Succi, S.2    Vergassola, M.3
  • 3
    • 26344468007 scopus 로고
    • A model for collision process in gases I. Small amplitude process in charged and neutral one-component systems
    • 3
    • Bhatnagar, P.L., Gross, E., Krook, M.: A model for collision process in gases I. Small amplitude process in charged and neutral one-component systems. Phys. Rev. 94(3), 511-525 (1954)
    • (1954) Phys. Rev. , vol.94 , pp. 511-525
    • Bhatnagar, P.L.1    Gross, E.2    Krook, M.3
  • 7
    • 21844510357 scopus 로고
    • H-theorem and generalized semi-detailed balance conditions for lattice gas systems
    • Chen, H.: H-theorem and generalized semi-detailed balance conditions for lattice gas systems. J. Stat. Phys. 81, 347-359 (1995)
    • (1995) J. Stat. Phys. , vol.81 , pp. 347-359
    • Chen, H.1
  • 8
    • 0000596294 scopus 로고    scopus 로고
    • Volumetric formulation of the lattice Boltzmann method for fluid dynamics: Basic concept
    • 3
    • Chen, H.: Volumetric formulation of the lattice Boltzmann method for fluid dynamics: Basic concept. Phys. Rev. E 58(3), 3955-3963 (1998)
    • (1998) Phys. Rev. e , vol.58 , pp. 3955-3963
    • Chen, H.1
  • 9
    • 0034228979 scopus 로고    scopus 로고
    • H-theorem and origins of instability in thermal lattice Boltzmann models
    • Chen, H., Teixeira, C.: H-theorem and origins of instability in thermal lattice Boltzmann models. Comput. Phys. Commun. 129, 21-31 (2000)
    • (2000) Comput. Phys. Commun. , vol.129 , pp. 21-31
    • Chen, H.1    Teixeira, C.2
  • 10
    • 25344468527 scopus 로고
    • Recovery of Navier-Stokes equations using a lattice-gas Boltzmann method
    • Chen, H., Chen, S., Matthaeus, W.H.: Recovery of Navier-Stokes equations using a lattice-gas Boltzmann method. Phys. Rev. A 45, R5339-42 (1992)
    • (1992) Phys. Rev. A , vol.45 , pp. 5339-42
    • Chen, H.1    Chen, S.2    Matthaeus, W.H.3
  • 11
    • 10244219882 scopus 로고    scopus 로고
    • Expanded analogy between Boltzmann kinetic theory of fluids and turbulence
    • Chen, H., Orszag, S., Staroselsky, I., Succi, S.: Expanded analogy between Boltzmann kinetic theory of fluids and turbulence. J. Fluid Mech. 519, 301-314 (2004)
    • (2004) J. Fluid Mech. , vol.519 , pp. 301-314
    • Chen, H.1    Orszag, S.2    Staroselsky, I.3    Succi, S.4
  • 12
    • 0031520473 scopus 로고    scopus 로고
    • Digital physics approach to computational fluid dynamics: Some basic theoretical features
    • Chen, H., Teixeira, C., Molvig, K.: Digital physics approach to computational fluid dynamics: Some basic theoretical features. Int. J. Mod. Phys. C 8, 675-684 (1997)
    • (1997) Int. J. Mod. Phys. C , vol.8 , pp. 675-684
    • Chen, H.1    Teixeira, C.2    Molvig, K.3
  • 13
    • 1542471855 scopus 로고    scopus 로고
    • Lattice Boltzmann method for fluid flows
    • Chen, S., Doolen, G.: Lattice Boltzmann method for fluid flows. Ann. Rev. Fluid Mech. 30, 329-364 (1998)
    • (1998) Ann. Rev. Fluid Mech. , vol.30 , pp. 329-364
    • Chen, S.1    Doolen, G.2
  • 14
    • 0000213068 scopus 로고
    • Thermal lattice Bhatnagar-Gross-Krook model without nonlinear deviation in macrodynamic equations
    • Chen, Y., Ohashi, H., Akiyama, M.: Thermal lattice Bhatnagar-Gross-Krook model without nonlinear deviation in macrodynamic equations. Phys. Rev. E 50, 2776-2783 (1994)
    • (1994) Phys. Rev. e , vol.50 , pp. 2776-2783
    • Chen, Y.1    Ohashi, H.2    Akiyama, M.3
  • 16
    • 35949016104 scopus 로고
    • Lattice-gas automata for the Navier-Stokes equation
    • Frisch, U., Hasslacher, B., Pomeau, Y.: Lattice-gas automata for the Navier-Stokes equation. Phys. Rev. Lett. 56, 1505 (1986)
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 1505
    • Frisch, U.1    Hasslacher, B.2    Pomeau, Y.3
  • 17
    • 0032632334 scopus 로고    scopus 로고
    • The fluid mechanics of microdevices-The Freeman scholar lecture
    • Gad-el-Hak, M.: The fluid mechanics of microdevices-The Freeman scholar lecture. J. Fluid Eng. 121, 5-33 (1999)
    • (1999) J. Fluid Eng. , vol.121 , pp. 5-33
    • Gad-El-Hak, M.1
  • 18
    • 84956073211 scopus 로고
    • Lattice gas dynamics with enhanced collisions
    • Higuera, F., Succi, S., Benzi, R.: Lattice gas dynamics with enhanced collisions. Europhys. Lett. 9, 345-349 (1989)
    • (1989) Europhys. Lett. , vol.9 , pp. 345-349
    • Higuera, F.1    Succi, S.2    Benzi, R.3
  • 19
    • 84956111432 scopus 로고
    • Lattice BGK models for Navier-Stokes equation
    • Qian, Y., d'Humieres, D., Lallemand, P.: Lattice BGK models for Navier-Stokes equation. Europhys. Lett. 17, 479-484 (1992)
    • (1992) Europhys. Lett. , vol.17 , pp. 479-484
    • Qian, Y.1    D'Humieres, D.2    Lallemand, P.3
  • 21
    • 0002945795 scopus 로고    scopus 로고
    • Discretization of the velocity space in solution of the Boltzmann equation
    • Shan, X., He, X.: Discretization of the velocity space in solution of the Boltzmann equation. Phys. Rev. Lett. 80, 65 (1998)
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 65
    • Shan, X.1    He, X.2
  • 22
    • 33645687069 scopus 로고    scopus 로고
    • Kinetic theory representation of hydrodynamics: A way beyond the Navier-Stokes equation
    • Shan, X., Yuan, X., Chen, H.: Kinetic theory representation of hydrodynamics: A way beyond the Navier-Stokes equation. J. Fluid Mech. 550, 413-441 (2006)
    • (2006) J. Fluid Mech. , vol.550 , pp. 413-441
    • Shan, X.1    Yuan, X.2    Chen, H.3
  • 23
    • 0036822246 scopus 로고    scopus 로고
    • Role of the H theorem in lattice Boltzmann hydrodynamic simulations
    • Succi, S., Karlin, I., Chen, H.: Role of the H theorem in lattice Boltzmann hydrodynamic simulations. Rev. Mod. Phys. 74, 1203-1220 (2002)
    • (2002) Rev. Mod. Phys. , vol.74 , pp. 1203-1220
    • Succi, S.1    Karlin, I.2    Chen, H.3
  • 25
    • 0034227479 scopus 로고    scopus 로고
    • Multispeed thermal lattice Boltzmann method stabilization via equilibrium under-relaxation
    • Teixeira, C., Chen, H., Freed, D.: Multispeed thermal lattice Boltzmann method stabilization via equilibrium under-relaxation. Comput. Phys. Commun. 129, 207-226 (2000)
    • (2000) Comput. Phys. Commun. , vol.129 , pp. 207-226
    • Teixeira, C.1    Chen, H.2    Freed, D.3
  • 27
    • 42049092689 scopus 로고    scopus 로고
    • Possibility of constructing a multispeed Bhatnagar-Gross-Krook thermal model of the lattice Boltzmann method
    • Watari, M., Tsutahara, M.: Possibility of constructing a multispeed Bhatnagar-Gross-Krook thermal model of the lattice Boltzmann method. Phys. Rev. E 70, 016703-9 (2004)
    • (2004) Phys. Rev. e , vol.70 , pp. 016703-9
    • Watari, M.1    Tsutahara, M.2
  • 28
    • 0000239476 scopus 로고
    • Cellular automaton fluid 1: Basic theory
    • Wolfram, S.: Cellular automaton fluid 1: Basic theory. J. Stat. Phys. 45, 471-526 (1986)
    • (1986) J. Stat. Phys. , vol.45 , pp. 471-526
    • Wolfram, S.1
  • 29
    • 0001445852 scopus 로고    scopus 로고
    • A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method
    • 48
    • 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(48), 289-335 (2001)
    • (2001) J. Comput. Phys. , vol.171 , pp. 289-335
    • Xu, K.1
  • 30
    • 0003067035 scopus 로고
    • Gas-kinetic finite volume methods, flux vector splitting and artificial dissipation
    • 48
    • Xu, K., Martinelli, L., Jameson, A.: Gas-kinetic finite volume methods, flux vector splitting and artificial dissipation. J. Comput. Phys. 120(48), 48-65 (1995)
    • (1995) J. Comput. Phys. , vol.120 , pp. 48-65
    • Xu, K.1    Martinelli, L.2    Jameson, A.3
  • 31
    • 0035333469 scopus 로고    scopus 로고
    • Effective volumetric lattice Boltzmann scheme
    • Zhang, R., Chen, H., Qian, Y., Chen, S.: Effective volumetric lattice Boltzmann scheme. Phys. Rev. E 63, 056705(1)-056705(6) (2001)
    • (2001) Phys. Rev. e , vol.63 , pp. 0567051-0567056
    • Zhang, R.1    Chen, H.2    Qian, Y.3    Chen, S.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.