메뉴 건너뛰기




Volumn 171, Issue 1, 2001, Pages 336-356

A Characteristic Galerkin Method for Discrete Boltzmann Equation

Author keywords

Characteristic Galerkin method; Lattice Boltzmann equation; Unstructured mesh

Indexed keywords

BOLTZMANN EQUATION; CIRCULAR CYLINDERS; FINITE ELEMENT METHOD; FLOW OF FLUIDS; GALERKIN METHODS;

EID: 0001177019     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2001.6791     Document Type: Article
Times cited : (160)

References (42)
  • 1
    • 1542471855 scopus 로고    scopus 로고
    • Lattice Boltzmann method for fluid flows
    • S. Chen and G. D. Doolen, Lattice Boltzmann method for fluid flows, Ann. Rev. Fluid Mech. 30, 329 (1998).
    • (1998) Ann. Rev. Fluid Mech. , vol.30 , pp. 329
    • Chen, S.1    Doolen, G.D.2
  • 2
    • 0001207344 scopus 로고    scopus 로고
    • A priori derivation of the lattice Boltzmann equation
    • X. He and L.-S. Luo, A priori derivation of the lattice Boltzmann equation, Phys. Rev. E. 55, R6333 (1997).
    • (1997) Phys. Rev. E. , vol.55
    • He, X.1    Luo, L.-S.2
  • 3
    • 4243825742 scopus 로고    scopus 로고
    • Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation
    • X. He and L.-S. Luo, Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation, Phys. Rev. E. 56, 6811 (1997).
    • (1997) Phys. Rev. E. , vol.56 , pp. 6811
    • He, X.1    Luo, L.-S.2
  • 4
    • 0001445882 scopus 로고    scopus 로고
    • Derivation of the lattice Boltzmann method by means of the discrete ordinate method for the Boltzmann equation
    • T. Abe, Derivation of the lattice Boltzmann method by means of the discrete ordinate method for the Boltzmann equation, J. Comput. Phys. 131, 241 (1997).
    • (1997) J. Comput. Phys. , vol.131 , pp. 241
    • Abe, T.1
  • 5
    • 0000292043 scopus 로고    scopus 로고
    • Grid refinement for Lattice-Boltzmann models
    • O. Filippova and D. Hänel, Grid refinement for Lattice-Boltzmann models, J. Comput. Phys. 147, 219 (1998).
    • (1998) J. Comput. Phys. , vol.147 , pp. 219
    • Filippova, O.1    Hänel, D.2
  • 6
    • 0000804409 scopus 로고    scopus 로고
    • An accurate curved boundary treatment in the lattice Boltzmann method
    • R. Mei, L. Luo, and W. Shyy, An accurate curved boundary treatment in the lattice Boltzmann method, J. Comput. Phys. 155, 307 (1999).
    • (1999) J. Comput. Phys. , vol.155 , pp. 307
    • Mei, R.1    Luo, L.2    Shyy, W.3
  • 7
    • 0000331979 scopus 로고    scopus 로고
    • Lattice Boltzmann method for 3-D flows with curved boundary
    • R. Mei, W. Shyy, D. Yu, and L. Luo, Lattice Boltzmann method for 3-D flows with curved boundary, J. Comput. Phys. 161, 680 (2000).
    • (2000) J. Comput. Phys. , vol.161 , pp. 680
    • Mei, R.1    Shyy, W.2    Yu, D.3    Luo, L.4
  • 8
    • 0030527048 scopus 로고    scopus 로고
    • Some progress in lattice Boltzmann method. Part I. Nonuniform mesh grids
    • X. He, L.-S. Luo, and M. Dembo, Some progress in lattice Boltzmann method. Part I. Nonuniform mesh grids, J. Comput. Phys. 129, 357 (1996).
    • (1996) J. Comput. Phys. , vol.129 , pp. 357
    • He, X.1    Luo, L.-S.2    Dembo, M.3
  • 9
    • 4243441126 scopus 로고    scopus 로고
    • Lattice Boltzmann method on a curvilinear coordinate system: Vortex shedding behind a circular cylinder
    • X. He and G. D. Doolen, Lattice Boltzmann method on a curvilinear coordinate system: Vortex shedding behind a circular cylinder, Phys. Rev. E. 56, 434 (1997).
    • (1997) Phys. Rev. E. , vol.56 , pp. 434
    • He, X.1    Doolen, G.D.2
  • 10
    • 0031185286 scopus 로고    scopus 로고
    • Lattice Boltzmann method on curvilinear coordinates system: Flow around a circular cylinder
    • X. He and G. D. Doolen, Lattice Boltzmann method on curvilinear coordinates system: Flow around a circular cylinder, J. Comput. Phys. 134, 306 (1997).
    • (1997) J. Comput. Phys. , vol.134 , pp. 306
    • He, X.1    Doolen, G.D.2
  • 11
    • 0002428144 scopus 로고    scopus 로고
    • Physical symmetry and lattice symmetry in the lattice Boltzmann method
    • N. Cao, S. Chen, S. Jin, and D. Martinez, Physical symmetry and lattice symmetry in the lattice Boltzmann method, Phys. Rev. E. E55, R21 (1997).
    • (1997) Phys. Rev. E. , vol.E55
    • Cao, N.1    Chen, S.2    Jin, S.3    Martinez, D.4
  • 12
    • 0000854542 scopus 로고    scopus 로고
    • On the finite difference-based lattice Boltzmann method in curvilinear coordinates
    • R. Mei and W. Shyy, On the finite difference-based lattice Boltzmann method in curvilinear coordinates, J. Comput. Phys. 143, 426 (1998).
    • (1998) J. Comput. Phys. , vol.143 , pp. 426
    • Mei, R.1    Shyy, W.2
  • 13
    • 21844516883 scopus 로고
    • Challenges in lattice Boltzmann computing
    • S. Succi, G. Amati, and R. Benzi, Challenges in lattice Boltzmann computing, J. Stat. Phys. 81, 5 (1995).
    • (1995) J. Stat. Phys. , vol.81 , pp. 5
    • Succi, S.1    Amati, G.2    Benzi, R.3
  • 14
    • 0000007706 scopus 로고    scopus 로고
    • Finite-volume lattice Boltzmann method
    • H. Xi, G. Peng, and S.-H. Chou, Finite-volume lattice Boltzmann method, Phys. Rev. E. 59, 6202 (1999).
    • (1999) Phys. Rev. E. , vol.59 , pp. 6202
    • Xi, H.1    Peng, G.2    Chou, S.-H.3
  • 15
    • 0000007707 scopus 로고    scopus 로고
    • Finite-volume lattice Boltzmann schemes in two and three dimensions
    • H. Xi, G. Peng, and S.-H. Chou, Finite-volume lattice Boltzmann schemes in two and three dimensions, Phys. Rev. E. 60, 3380 (1999).
    • (1999) Phys. Rev. E. , vol.60 , pp. 3380
    • Xi, H.1    Peng, G.2    Chou, S.-H.3
  • 16
    • 0029104589 scopus 로고
    • A general algorithm for compressible and incompressible flow - Part I. The split, characteristic-based scheme
    • O. C. Zienkiewicz and R. Codina, A general algorithm for compressible and incompressible flow - Part I. The split, characteristic-based scheme, Int. J. Numer. Methods Fluids 20, 869 (1995).
    • (1995) Int. J. Numer. Methods Fluids , vol.20 , pp. 869
    • Zienkiewicz, O.C.1    Codina, R.2
  • 17
    • 0346935968 scopus 로고
    • A Taylor-Galerkin method for convection transport problems
    • J. Donea, A Taylor-Galerkin method for convection transport problems, Int. J. Numer. Methods Fluids 4, 1043 (1984).
    • (1984) Int. J. Numer. Methods Fluids , vol.4 , pp. 1043
    • Donea, J.1
  • 22
    • 26344468007 scopus 로고
    • A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component system
    • P. L. Bhatnagar, E. P. Gross, and M. Krook, A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component system, Phys. Rev. 94, 511 (1954).
    • (1954) Phys. Rev. , vol.94 , pp. 511
    • Bhatnagar, P.L.1    Gross, E.P.2    Krook, M.3
  • 24
    • 0019607241 scopus 로고
    • Streamline upwind/Petrov-Galerkin formulation for convection dominated flows with particular emphasis on the incompressible Navier Stokes equation
    • A. N. Brooks and T. J. R. Hughes, Streamline upwind/Petrov-Galerkin formulation for convection dominated flows with particular emphasis on the incompressible Navier Stokes equation, Comput. Method. Appl. Mech. Eng. 32, 199 (1982).
    • (1982) Comput. Method. Appl. Mech. Eng. , vol.32 , pp. 199
    • Brooks, A.N.1    Hughes, T.J.R.2
  • 25
    • 0029138604 scopus 로고
    • A consistent hydrodynamic boundary condition for the lattice Boltzmann method
    • D. Noble, S. Chen, J. Georgiadis, and R. Buckius, A consistent hydrodynamic boundary condition for the lattice Boltzmann method, Phys. Fluids 7(1), 203 (1995).
    • (1995) Phys. Fluids , vol.7 , Issue.1 , pp. 203
    • Noble, D.1    Chen, S.2    Georgiadis, J.3    Buckius, R.4
  • 26
    • 0001481167 scopus 로고
    • A non-slip boundary condition for lattice Boltzmann simulations
    • T. Inamuro, M. Yoshino, and F. Ogino, A non-slip boundary condition for lattice Boltzmann simulations, Phys. Fluids 7(12), 2928 (1995).
    • (1995) Phys. Fluids , vol.7 , Issue.12 , pp. 2928
    • Inamuro, T.1    Yoshino, M.2    Ogino, F.3
  • 27
    • 0029676650 scopus 로고    scopus 로고
    • Boundary conditions for the lattice Boltzmann method
    • R. Maier, R. Bernard, and D. Grunau, Boundary conditions for the lattice Boltzmann method, Phys. Fluids 8(7), 1788 (1996).
    • (1996) Phys. Fluids , vol.8 , Issue.7 , pp. 1788
    • Maier, R.1    Bernard, R.2    Grunau, D.3
  • 28
    • 2142825823 scopus 로고    scopus 로고
    • On pressure and velocity boundary conditions for the lattice Boltzmann BGK model
    • Q. Zou and X. He, On pressure and velocity boundary conditions for the lattice Boltzmann BGK model, Phys. Fluids 9(6), 1591 (1997).
    • (1997) Phys. Fluids , vol.9 , Issue.6 , pp. 1591
    • Zou, Q.1    He, X.2
  • 29
    • 0004574861 scopus 로고
    • Simulation of cavity flow by the lattice Boltzmann method
    • S. Hou, Q. Zou, S. Chen, G. Dollen, and A. C. Cogley, Simulation of cavity flow by the lattice Boltzmann method, J. Comput. Phys. 118, 329 (1995).
    • (1995) J. Comput. Phys. , vol.118 , pp. 329
    • Hou, S.1    Zou, Q.2    Chen, S.3    Dollen, G.4    Cogley, A.C.5
  • 30
    • 0030476055 scopus 로고    scopus 로고
    • On boundary conditions in lattice Boltzmann methods
    • S. Chen, D. Martinez, and R. Mei, On boundary conditions in lattice Boltzmann methods, Phys. Fluids 8(9), 2527 (1996).
    • (1996) Phys. Fluids , vol.8 , Issue.9 , pp. 2527
    • Chen, S.1    Martinez, D.2    Mei, R.3
  • 32
    • 0028431181 scopus 로고
    • Résumé and remarks on the open boundary condition minisymposium
    • R. L. Sani and P. M. Gresho, Résumé and remarks on the open boundary condition minisymposium, Int. J. Numer. Methods Fluids 18, 983 (1994).
    • (1994) Int. J. Numer. Methods Fluids , vol.18 , pp. 983
    • Sani, R.L.1    Gresho, P.M.2
  • 33
    • 0031080083 scopus 로고    scopus 로고
    • The "no boundary condition" outflow boundary condition
    • D. F. Griffiths, The "no boundary condition" outflow boundary condition, Int. J. Numer. Methods Fluids 24, 393 (1997).
    • (1997) Int. J. Numer. Methods Fluids , vol.24 , pp. 393
    • Griffiths, D.F.1
  • 34
    • 0031080045 scopus 로고    scopus 로고
    • Imposing "no" boundary condition at outflow: Why does it work?
    • M. Renardy, Imposing "no" boundary condition at outflow: Why does it work? Int. J. Numer. Methods Fluids 24, 413 (1997).
    • (1997) Int. J. Numer. Methods Fluids , vol.24 , pp. 413
    • Renardy, M.1
  • 35
    • 0029159033 scopus 로고
    • Analysis of finite element schemes for convection-type problems
    • G. Comini, M. Manzan, and C. Nonino, Analysis of finite element schemes for convection-type problems, Int. J. Numer. Methods Fluids 20, 443 (1995).
    • (1995) Int. J. Numer. Methods Fluids , vol.20 , pp. 443
    • Comini, G.1    Manzan, M.2    Nonino, C.3
  • 37
    • 49049143188 scopus 로고
    • High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
    • U. Ghia, K. N. Ghia, and C. T. Shin, High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method, J. Comput. Phys. 48, 387 (1982).
    • (1982) J. Comput. Phys. , vol.48 , pp. 387
    • Ghia, U.1    Ghia, K.N.2    Shin, C.T.3
  • 38
    • 0034238551 scopus 로고    scopus 로고
    • Lattice Boltzmann method on composite grids
    • C.-L. Lin and Y. Lai, Lattice Boltzmann method on composite grids, Phys. Rev. E. 62(2), 2219 (2000).
    • (2000) Phys. Rev. E. , vol.62 , Issue.2 , pp. 2219
    • Lin, C.-L.1    Lai, Y.2
  • 39
    • 84904262350 scopus 로고
    • Experiments on the flow past a circular cylinder at low Reynolds numbers
    • J. D. Tritton, Experiments on the flow past a circular cylinder at low Reynolds numbers, J. Fluid Mech. 6, 547 (1959).
    • (1959) J. Fluid Mech. , vol.6 , pp. 547
    • Tritton, J.D.1
  • 40
    • 0014938217 scopus 로고
    • Numerical solutions for steady flow past a circular cylinder at Reynolds number up to 100
    • S. C. R. Dennis and G. Z. Chang, Numerical solutions for steady flow past a circular cylinder at Reynolds number up to 100, J. Fluid Mech. 42, 471 (1970).
    • (1970) J. Fluid Mech. , vol.42 , pp. 471
    • Dennis, S.C.R.1    Chang, G.Z.2
  • 41
    • 0015561841 scopus 로고
    • Viscous flow past circular cylinders
    • F. Nieuwstadt and H. B. Keller, Viscous flow past circular cylinders, Comput. Fluids 1, 59 (1973).
    • (1973) Comput. Fluids , vol.1 , pp. 59
    • Nieuwstadt, F.1    Keller, H.B.2
  • 42
    • 0013728985 scopus 로고
    • A numerical study of steady viscous flow past a circular cylinder
    • B. Fornberg, A numerical study of steady viscous flow past a circular cylinder, J. Fluid Mech. 98, 819 (1980).
    • (1980) J. Fluid Mech. , vol.98 , pp. 819
    • Fornberg, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.