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Volumn 55, Issue 7, 2008, Pages 1441-1449

Equivalent partial differential equations of a lattice Boltzmann scheme

Author keywords

Chapman Enskog expansion; Taylor formula

Indexed keywords

BOLTZMANN EQUATION; FORMAL METHODS; GAS DYNAMICS; NAVIER STOKES EQUATIONS; TAYLOR SERIES;

EID: 39449096605     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2007.08.003     Document Type: Article
Times cited : (111)

References (9)
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    • (1990) Journal of Computational Physics , vol.86 , pp. 107-126
    • Chang, S.C.1
  • 2
    • 0001681816 scopus 로고
    • Generalized Lattice-Boltzmann equations
    • Rarefied Gas Dynamics: Theory and Simulations
    • D'Humières D. Generalized Lattice-Boltzmann equations. Rarefied Gas Dynamics: Theory and Simulations. AIAA Progress in Astronautics and Astronautics vol. 159 (1992) 450-458
    • (1992) AIAA Progress in Astronautics and Astronautics , vol.159 , pp. 450-458
    • D'Humières, D.1
  • 3
    • 39449102245 scopus 로고    scopus 로고
    • Une introduction au schéma de Boltzmann sur réseau
    • Dubois F. Une introduction au schéma de Boltzmann sur réseau. ESAIM Proceedings 18 July (2007) 181-215
    • (2007) ESAIM Proceedings , vol.18 , Issue.July , pp. 181-215
    • Dubois, F.1
  • 5
    • 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. Journal of Computational Physics 210 December (2005) 676-704
    • (2005) Journal of Computational Physics , vol.210 , Issue.December , pp. 676-704
    • Junk, M.1    Klar, A.2    Luo, L.-S.3
  • 6
    • 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. Physical Review E 61 June (2000) 6546-6562
    • (2000) Physical Review E , vol.61 , Issue.June , pp. 6546-6562
    • Lallemand, P.1    Luo, L.-S.2
  • 7
    • 0347460277 scopus 로고
    • Noncentered schemes and shock propagation problems
    • Lerat A., and Peyret R. Noncentered schemes and shock propagation problems. Computers and Fluids 2 (1974) 35-52
    • (1974) Computers and Fluids , vol.2 , pp. 35-52
    • Lerat, A.1    Peyret, R.2
  • 9
    • 49549156305 scopus 로고
    • The modified equation approach to the stability and accuracy analysis of finite difference methods
    • Warming R.F., and Hyett B.J. The modified equation approach to the stability and accuracy analysis of finite difference methods. Journal of Computational Physics 14 (1974) 159-179
    • (1974) Journal of Computational Physics , vol.14 , pp. 159-179
    • Warming, R.F.1    Hyett, B.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.