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Volumn 22, Issue 1, 2000, Pages 1-19

Discretizations for the incompressible Navier-Stokes equations based on the lattice Boltzmann method

Author keywords

Chorin's projection scheme; Discrete velocity models; Finite difference method; Incompressible Navier Stokes equations; Lattice Boltzmann method; Low Mach number limit; Relaxation systems

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; CONFORMAL MAPPING; FINITE DIFFERENCE METHOD; FLUID DYNAMICS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; POLYNOMIALS; TENSORS; VECTORS;

EID: 0034455605     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827599357188     Document Type: Article
Times cited : (63)

References (35)
  • 1
    • 0001445882 scopus 로고    scopus 로고
    • Derivation of the Lattice Boltzmann method by means of the discrete ordinate method for the Boltzmann equation
    • (1997) J. Comput. Phys. , vol.131 , pp. 241-246
    • Abe, T.1
  • 8
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • (1968) Math. Comp. , vol.22 , pp. 745-762
    • Chorin, A.1
  • 15
    • 4243825742 scopus 로고    scopus 로고
    • Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation
    • (1997) Phys. Rev. E , vol.56 , pp. 6811-6817
    • He, X.1    Luo, L.2
  • 23
    • 0000557853 scopus 로고    scopus 로고
    • An asymptotic-induced scheme for nonstationary transport equations in the diffusive limit
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 1073-1094
    • Klar, A.1
  • 24
    • 0005435230 scopus 로고    scopus 로고
    • An asymptotic-induced numerical scheme for kinetic equations in the low mach number limit
    • (1999) SIAM J. Numer. Anal. , vol.36 , pp. 1507-1527
    • Klar, A.1
  • 25
    • 0002936886 scopus 로고    scopus 로고
    • Relaxation schemes for a Lattice Boltzmann type discrete velocity model and numerical Navier-Stokes limit
    • (1999) J. Comput. Phys. , vol.148 , pp. 1-17
    • Klar, A.1
  • 27
  • 28
    • 0024018036 scopus 로고
    • Discrete velocity models of the Boltzmann equations: A survey on the mathematical aspects of the theory
    • (1988) SIAM Rev. , vol.30 , pp. 213-255
    • Platkowski, T.1    Illner, R.2
  • 34
    • 0005402921 scopus 로고    scopus 로고
    • Analysis of the spatial error for a class of finite difference methods for viscous incompressible flow
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 723-755
    • Wetton, B.R.1
  • 35
    • 0001316138 scopus 로고    scopus 로고
    • Error analysis for Chorin's original fully discrete projection method and regularizations in space and time
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 1683-1697
    • Wetton, B.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.