메뉴 건너뛰기




Volumn 155, Issue 2, 1999, Pages 307-330

An Accurate Curved Boundary Treatment in the Lattice Boltzmann Method

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN EQUATION; CIRCULAR CYLINDERS; COMPUTATIONAL FLUID DYNAMICS; DISTRIBUTION FUNCTIONS; KINETIC THEORY; OSCILLATING CYLINDERS; OSCILLATING FLOW;

EID: 0000804409     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1999.6334     Document Type: Article
Times cited : (555)

References (33)
  • 1
    • 25744459324 scopus 로고
    • Use of the Boltzmann equation to simulate lattice-gas automata
    • McNamara G., Zanetti G. Use of the Boltzmann equation to simulate lattice-gas automata. Phys. Rev. Lett. 61:1988;2332.
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 2332
    • McNamara, G.1    Zanetti, G.2
  • 2
    • 84956073211 scopus 로고
    • Lattice gas dynamics with enhanced collisions
    • Higuera F., Succi S., Benzi R. Lattice gas dynamics with enhanced collisions. Europhys. Lett. 9:1989;345.
    • (1989) Europhys. Lett. , vol.9 , pp. 345
    • Higuera, F.1    Succi, S.2    Benzi, R.3
  • 3
    • 25344468527 scopus 로고
    • Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method
    • Chen H., Chen S., Matthaeus W. H. Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method. Phys. Rev. A. 45:1992;R5339.
    • (1992) Phys. Rev. a , vol.45 , pp. 5339
    • Chen, H.1    Chen, S.2    Matthaeus, W.H.3
  • 4
    • 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. 222:1992;145.
    • (1992) Phys. Rep. , vol.222 , pp. 145
    • Benzi, R.1    Succi, S.2    Vergassola, M.3
  • 5
    • 1542471855 scopus 로고    scopus 로고
    • Lattice Boltzmann method for fluid flows
    • Chen S., Doolen G. D. Lattice Boltzmann method for fluid flows. Ann. Rev. Fluid Mech. 30:1998;329.
    • (1998) Ann. Rev. Fluid Mech. , vol.30 , pp. 329
    • Chen, S.1    Doolen, G.D.2
  • 9
    • 26344468007 scopus 로고
    • A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component system
    • 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 system. Phys. Rev. A. 94:1954;511.
    • (1954) Phys. Rev. a , vol.94 , pp. 511
    • Bhatnagar, P.L.1    Gross, E.P.2    Krook, M.3
  • 10
    • 0001207344 scopus 로고    scopus 로고
    • A priori derivation of the lattice Boltzmann equation
    • He X., Luo L.-S. A priori derivation of the lattice Boltzmann equation. Phys. Rev. E. 55:1997;R6333.
    • (1997) Phys. Rev. e , vol.55 , pp. 6333
    • He, X.1    Luo, L.-S.2
  • 11
    • 4243825742 scopus 로고    scopus 로고
    • Theory of the lattice Boltzmann equation: From Boltzmann equation to lattice Boltzmann equation
    • He X., Luo L.-S. Theory of the lattice Boltzmann equation: From Boltzmann equation to lattice Boltzmann equation. Phys. Rev. E. 56:1997;6811.
    • (1997) Phys. Rev. e , vol.56 , pp. 6811
    • He, X.1    Luo, L.-S.2
  • 12
    • 0001445882 scopus 로고    scopus 로고
    • Derivation of the lattice Boltzmann method by means of the discrete ordinate method for the Boltzmann equation
    • Abe T. Derivation of the lattice Boltzmann method by means of the discrete ordinate method for the Boltzmann equation. J. Comput. Phys. 131:1997;241.
    • (1997) J. Comput. Phys. , vol.131 , pp. 241
    • Abe, T.1
  • 14
    • 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. 56:1986;1505.
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 1505
    • Frisch, U.1    Hasslacher, B.2    Pomeau, Y.3
  • 16
    • 21144470454 scopus 로고
    • Boundary conditions for lattice Boltzmann simulations
    • Ziegler D. P. Boundary conditions for lattice Boltzmann simulations. J. Stat. Phys. 71:1993;1171.
    • (1993) J. Stat. Phys. , vol.71 , pp. 1171
    • Ziegler, D.P.1
  • 17
    • 0001133794 scopus 로고
    • Boundary flow condition analysis for the three-dimensional lattice Boltzmann model
    • Ginzbourg I., Alder P. M. Boundary flow condition analysis for the three-dimensional lattice Boltzmann model. J. Phys. II France. 4:1994;191.
    • (1994) J. Phys. II France , vol.4 , pp. 191
    • Ginzbourg, I.1    Alder, P.M.2
  • 18
    • 0031116098 scopus 로고    scopus 로고
    • Analytic solutions and analysis on non-slip boundary condition for the lattice Boltzmann BGK model
    • He X., Zou Q., Luo L.-S., Dembo M. Analytic solutions and analysis on non-slip boundary condition for the lattice Boltzmann BGK model. J. Stat. Phys. 87:1997;115.
    • (1997) J. Stat. Phys. , vol.87 , pp. 115
    • He, X.1    Zou, Q.2    Luo, L.-S.3    Dembo, M.4
  • 19
    • 0001433596 scopus 로고
    • Solid boundaries in particle suspension simulations via lattice Boltzmann method
    • Behrend O. Solid boundaries in particle suspension simulations via lattice Boltzmann method. Phys. Rev. E. 52:1995;1164.
    • (1995) Phys. Rev. e , vol.52 , pp. 1164
    • Behrend, O.1
  • 20
    • 0031206428 scopus 로고    scopus 로고
    • Analytic solutions of linearized lattice Boltzmann equation for simple flows
    • Luo L.-S. Analytic solutions of linearized lattice Boltzmann equation for simple flows. J. Stat. Phys. 88:1997;913.
    • (1997) J. Stat. Phys. , vol.88 , pp. 913
    • Luo, L.-S.1
  • 21
    • 0028460854 scopus 로고
    • Numerical simulation of particular suspensions via a discretized Boltzmann equation. Part 2. Numerical results
    • Ladd A. J. C. Numerical simulation of particular suspensions via a discretized Boltzmann equation. Part 2. Numerical results. J. Fluid Mech. 271:1994;311.
    • (1994) J. Fluid Mech. , vol.271 , pp. 311
    • Ladd, A.J.C.1
  • 22
    • 0029138604 scopus 로고
    • A consistent hydrodynamic boundary condition for the lattice Boltzmann method
    • Noble D. R., Chen S., Georgiadis J. G., Buckius R. O. A consistent hydrodynamic boundary condition for the lattice Boltzmann method. Phys. Fluid. 7:1995;203.
    • (1995) Phys. Fluid , vol.7 , pp. 203
    • Noble, D.R.1    Chen, S.2    Georgiadis, J.G.3    Buckius, R.O.4
  • 23
    • 0030476055 scopus 로고    scopus 로고
    • On boundary conditions in lattice Boltzmann method
    • Chen S., Martinez D., Mei R. On boundary conditions in lattice Boltzmann method. Phys. Fluids. 8:1996;2527.
    • (1996) Phys. Fluids , vol.8 , pp. 2527
    • Chen, S.1    Martinez, D.2    Mei, R.3
  • 24
    • 2142825823 scopus 로고    scopus 로고
    • On pressure and velocity boundary conditions for the lattice Boltzmann BGK model
    • Zou Q., He X. On pressure and velocity boundary conditions for the lattice Boltzmann BGK model. Phys. Fluids. 9:1997;1591.
    • (1997) Phys. Fluids , vol.9 , pp. 1591
    • Zou, Q.1    He, X.2
  • 25
    • 0030527048 scopus 로고    scopus 로고
    • Some progress in lattice Boltzmann method. Part I. Nonuniform mesh grids
    • He X., Luo L.-S., Dembo M. Some progress in lattice Boltzmann method. Part I. Nonuniform mesh grids. J. Comput. Phys. 129:1996;357.
    • (1996) J. Comput. Phys. , vol.129 , pp. 357
    • He, X.1    Luo, L.-S.2    Dembo, M.3
  • 26
    • 0031147182 scopus 로고    scopus 로고
    • Some progress in lattice Boltzmann method: High Reynolds mesh grids
    • He X., Luo L.-S., Dembo M. Some progress in lattice Boltzmann method: High Reynolds mesh grids. Phys. A. 239:1997;276.
    • (1997) Phys. a , vol.239 , pp. 276
    • He, X.1    Luo, L.-S.2    Dembo, M.3
  • 27
    • 0031185286 scopus 로고    scopus 로고
    • Lattice Boltzmann method on curvilinear coordinates system: Flow around a circular cylinder
    • He X., Doolen G. Lattice Boltzmann method on curvilinear coordinates system: Flow around a circular cylinder. J. Comput. Phys. 134:1997;306.
    • (1997) J. Comput. Phys. , vol.134 , pp. 306
    • He, X.1    Doolen, G.2
  • 28
    • 0000854542 scopus 로고    scopus 로고
    • On the finite difference-based lattice Boltzmann method in curvilinear coordinates
    • Mei R., Shyy W. On the finite difference-based lattice Boltzmann method in curvilinear coordinates. J. Comput. Phys. 143:1998;426.
    • (1998) J. Comput. Phys. , vol.143 , pp. 426
    • Mei, R.1    Shyy, W.2
  • 29
    • 0039568430 scopus 로고    scopus 로고
    • Local second-order boundary methods for lattice Boltzmann models
    • Ginzbourg I., d'Humières D. Local second-order boundary methods for lattice Boltzmann models. J. Stat. Phys. 84:1996;927.
    • (1996) J. Stat. Phys. , vol.84 , pp. 927
    • Ginzbourg, I.1    D'Humières, D.2
  • 30
    • 0000292043 scopus 로고    scopus 로고
    • Grid refinement for lattice-BGK models
    • Filippova O., Hänel D. Grid refinement for lattice-BGK models. J. Comput. Phys. 147:1998;219.
    • (1998) J. Comput. Phys. , vol.147 , pp. 219
    • Filippova, O.1    Hänel, D.2
  • 31
    • 0031206171 scopus 로고    scopus 로고
    • Lattice Boltzmann model for the incompressible Navier-Stokes equation
    • He X., Luo L.-S. Lattice Boltzmann model for the incompressible Navier-Stokes equation. J. Stat. Phys. 88:1997;927.
    • (1997) J. Stat. Phys. , vol.88 , pp. 927
    • He, X.1    Luo, L.-S.2
  • 32
    • 0000192442 scopus 로고    scopus 로고
    • Unified theory of the lattice Boltzmann models for non-ideal gases
    • Luo L.-S. Unified theory of the lattice Boltzmann models for non-ideal gases. Phys. Rev. Lett. 81:1998;1618.
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 1618
    • Luo, L.-S.1
  • 33
    • 0030268159 scopus 로고    scopus 로고
    • Motion of a sphere oscillating at low Reynolds numbers in a visco-elastic-fluid-filled cylindrical tube
    • Mei R., Xiong J., Tran-Son-Tay R. Motion of a sphere oscillating at low Reynolds numbers in a visco-elastic-fluid-filled cylindrical tube. J. Non-Newtonian Fluid Mech. 66:1996;169.
    • (1996) J. Non-Newtonian Fluid Mech. , vol.66 , pp. 169
    • Mei, R.1    Xiong, J.2    Tran-Son-Tay, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.