메뉴 건너뛰기




Volumn 55, Issue 7, 2008, Pages 1481-1491

Convergence of lattice Boltzmann methods for Stokes flows in periodic and bounded domains

Author keywords

Bounce back; Convergence; Lattice Boltzmann method; Linear collision; Periodic boundary; Stability

Indexed keywords

ASYMPTOTIC ANALYSIS; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL OPERATORS;

EID: 39449138715     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2007.08.002     Document Type: Article
Times cited : (19)

References (18)
  • 1
    • 0141552499 scopus 로고    scopus 로고
    • Comparisons of lattice Boltzmann and finite difference methods for a two-dimensional viscous Burgers equations
    • Elton B.H. Comparisons of lattice Boltzmann and finite difference methods for a two-dimensional viscous Burgers equations. SIAM J. Sci. Comput. 17 4 (1996) 783-813
    • (1996) SIAM J. Sci. Comput. , vol.17 , Issue.4 , pp. 783-813
    • Elton, B.H.1
  • 2
    • 0011635960 scopus 로고
    • Convergence of convective-diffusive lattice Boltzmann methods
    • Elton B.H., and Levermore C.D. Convergence of convective-diffusive lattice Boltzmann methods. SIAM J. Numer. Anal. 32 (1995) 1327-1354
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 1327-1354
    • Elton, B.H.1    Levermore, C.D.2
  • 4
    • 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) 6333-6336
    • (1997) Phys. Rev. E , vol.55 , pp. 6333-6336
    • He, X.1    Luo, L.-S.2
  • 5
    • 4243825742 scopus 로고    scopus 로고
    • Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation
    • He X., and Luo L.-S. Theory of the 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
  • 6
    • 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 (2005) 676-704
    • (2005) J. Comput. Phys. , vol.210 , pp. 676-704
    • Junk, M.1    Klar, A.2    Luo, L.-S.3
  • 7
    • 27844541325 scopus 로고    scopus 로고
    • Asymptotic analysis of lattice Boltzmann boundary conditions
    • Junk M., and Yang Z. Asymptotic analysis of lattice Boltzmann boundary conditions. J. Stat. Phys. 121 (2005) 3-35
    • (2005) J. Stat. Phys. , vol.121 , pp. 3-35
    • Junk, M.1    Yang, Z.2
  • 8
    • 39449129110 scopus 로고    scopus 로고
    • 2 stability of the lattice Boltzmann equation, Preprint
    • 2 stability of the lattice Boltzmann equation, Preprint
  • 9
    • 0141620293 scopus 로고    scopus 로고
    • Rigorous Navier-Stokes limit of the lattice Boltzmann equation
    • Junk M., and Yong W.-A. Rigorous Navier-Stokes limit of the lattice Boltzmann equation. Asymptot. Anal. 35 (2003) 165-184
    • (2003) Asymptot. Anal. , vol.35 , pp. 165-184
    • Junk, M.1    Yong, W.-A.2
  • 10
    • 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
  • 11
    • 0000479716 scopus 로고
    • Initial and boundary conditions for the lattice Boltzmann method
    • Skordos P.A. Initial and boundary conditions for the lattice Boltzmann method. Phys. Rev. E 48 (1993) 4823-4842
    • (1993) Phys. Rev. E , vol.48 , pp. 4823-4842
    • Skordos, P.A.1
  • 12
    • 0029689748 scopus 로고    scopus 로고
    • Stability analysis of lattice Boltzmann methods
    • Sterling J., and Chen S. Stability analysis of lattice Boltzmann methods. J. Comput. Phys. 123 (1996) 196-206
    • (1996) J. Comput. Phys. , vol.123 , pp. 196-206
    • Sterling, J.1    Chen, S.2
  • 13
    • 33748538768 scopus 로고
    • Accurate partial difference methods ii. non-linear problems
    • Strang G. Accurate partial difference methods ii. non-linear problems. Numer. Math. 6 (1964) 37-64
    • (1964) Numer. Math. , vol.6 , pp. 37-64
    • Strang, G.1
  • 14
    • 0000497337 scopus 로고    scopus 로고
    • Stability analysis of lattice Boltzmann methods
    • Worthing R.A., Mozer J., and Seeley G. Stability analysis of lattice Boltzmann methods. Phys. Rev. E 56 2 (1997) 2243-2253
    • (1997) Phys. Rev. E , vol.56 , Issue.2 , pp. 2243-2253
    • Worthing, R.A.1    Mozer, J.2    Seeley, G.3
  • 15
    • 0000331979 scopus 로고    scopus 로고
    • Lattice Boltzmann method for 3-d flows with curved boundary
    • Mei R., Shyy W., Yu D., and Luo L.-S. Lattice Boltzmann method for 3-d flows with curved boundary. J. Comput. Phys. 161 (2000) 680-699
    • (2000) J. Comput. Phys. , vol.161 , pp. 680-699
    • Mei, R.1    Shyy, W.2    Yu, D.3    Luo, L.-S.4
  • 16
    • 0035504923 scopus 로고    scopus 로고
    • Momentum transfer of a Boltzmann-lattice fluid with boundaries
    • Bouzidi M., Firdaouss M., and Lallemand P. Momentum transfer of a Boltzmann-lattice fluid with boundaries. Phys. Fluids 13 (2001) 3452-3459
    • (2001) Phys. Fluids , vol.13 , pp. 3452-3459
    • Bouzidi, M.1    Firdaouss, M.2    Lallemand, P.3
  • 17
    • 33646777168 scopus 로고    scopus 로고
    • A stability notion of lattice Boltzmann equations
    • Banda M.K., Yong W.-A., and Klar A. A stability notion of lattice Boltzmann equations. SIAM J. Sci. Comput. 27 6 (2006) 2098-2111
    • (2006) SIAM J. Sci. Comput. , vol.27 , Issue.6 , pp. 2098-2111
    • Banda, M.K.1    Yong, W.-A.2    Klar, A.3
  • 18
    • 0001681816 scopus 로고
    • Generalized lattice-Boltzmann equations
    • Rarefied Gas Dynamics: Theory and Simulations. Shizgal B.D., and Weaver D.P. (Eds)
    • d'Humières D. Generalized lattice-Boltzmann equations. In: Shizgal B.D., and Weaver D.P. (Eds). Rarefied Gas Dynamics: Theory and Simulations. Progress in Astronautics and Aeronautics vol. 59 (1992) 450-548
    • (1992) Progress in Astronautics and Aeronautics , vol.59 , pp. 450-548
    • d'Humières, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.