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Volumn 14, Issue 3, 2008, Pages 191-268

Deviational particle Monte Carlo for the Boltzmann equation

Author keywords

Boltzmann equation; Deviational particles; Monte Carlo method; Reference Maxwellian

Indexed keywords


EID: 67549085341     PISSN: 09299629     EISSN: 15693961     Source Type: Journal    
DOI: 10.1515/MCMA.2008.010     Document Type: Article
Times cited : (31)

References (22)
  • 1
    • 20444423329 scopus 로고    scopus 로고
    • Variance reduction for Monte Carlo solutions of the Boltzmann equation
    • L. L. Baker and N. G. Hadjiconstantinou, Variance reduction for Monte Carlo solutions of the Boltzmann equation, Phys. Fluids 17 (2005), pp. 051703(1-4).
    • (2005) Phys. Fluids , vol.17 , Issue.1-4 , pp. 051703
    • Baker, L.L.1    Hadjiconstantinou, N.G.2
  • 4
    • 0032397060 scopus 로고    scopus 로고
    • Stationary particle systems approximating stationary solutions to the Boltzmann equation
    • S. Caprino, M. Pulvirenti and W. Wagner, Stationary particle systems approximating stationary solutions to the Boltzmann equation, SIAM J. Math. Anal. 29 (1998), pp. 913-934.
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 913-934
    • Caprino, S.1    Pulvirenti, M.2    Wagner, W.3
  • 7
    • 33645744107 scopus 로고    scopus 로고
    • A direct simulation Monte Carlo method for rarefied gas flows in the limit of small Mach number
    • 1-14
    • J. Chun and D. L. Koch, A direct simulation Monte Carlo method for rarefied gas flows in the limit of small Mach number, Phys. Fluids 17 (2005), pp. 107107(1-14).
    • (2005) Phys. Fluids , vol.17 , pp. 107107
    • Chun, J.1    Koch, D.L.2
  • 8
    • 0000679271 scopus 로고    scopus 로고
    • Statistical simulation of low-speed rarefied gas flows
    • DOI 10.1006/jcph.2000.6681, PII S0021999100966816
    • J. Fan and C. Shen, Statistical simulation of low-speed rarefied gas flows, J. Comput. Phys. 167 (2001), pp. 393-412. (Pubitemid 33652970)
    • (2001) Journal of Computational Physics , vol.167 , Issue.2 , pp. 393-412
    • Fan, J.1    Shen, C.2
  • 11
    • 33748524517 scopus 로고    scopus 로고
    • Generation of the Maxwellian inflow distribution
    • DOI 10.1016/j.jcp.2006.01.025, PII S0021999106000313
    • A. L. Garcia and W. Wagner, Generation of the Maxwellian inflow distribution, J. Comput. Phys. 217 (2006), pp. 693-708. (Pubitemid 44362150)
    • (2006) Journal of Computational Physics , vol.217 , Issue.2 , pp. 693-708
    • Garcia, A.L.1    Wagner, W.2
  • 12
    • 34548663326 scopus 로고    scopus 로고
    • A low-variance deviational simulation Monte Carlo for the Boltzmann equation
    • T. M. M. Homolle and N. G. Hadjiconstantinou, A low-variance deviational simulation Monte Carlo for the Boltzmann equation, J. Comput. Phys. 226 (2007), pp. 2341-2358.
    • (2007) J. Comput. Phys. , vol.226 , pp. 2341-2358
    • Homolle, T.M.M.1    Hadjiconstantinou, N.G.2
  • 15
    • 0036341659 scopus 로고    scopus 로고
    • Time relaxed Monte Carlo methods for the Boltzmann equation
    • L. Pareschi and G. Russo, Time relaxed Monte Carlo methods for the Boltzmann equation, SIAM J. Sci. Comput. 23 (2001), pp. 1253-1273.
    • (2001) SIAM J. Sci. Comput. , vol.23 , pp. 1253-1273
    • Pareschi, L.1    Russo, G.2
  • 16
    • 33747054801 scopus 로고    scopus 로고
    • Direct simulation Monte Carlo convergence behavior of the hard-sphere-gas thermal conductivity for Fourier heat flow
    • 1-16
    • D. J. Rader, M. A. Gallis, J. R. Torczynski and W. Wagner, Direct simulation Monte Carlo convergence behavior of the hard-sphere-gas thermal conductivity for Fourier heat flow, Phys. Fluids 18 (2006), pp. 077102 (1-16).
    • (2006) Phys. Fluids , vol.18 , pp. 077102
    • Rader, D.J.1    Gallis, M.A.2    Torczynski, J.R.3    Wagner, W.4
  • 17
    • 0348228181 scopus 로고    scopus 로고
    • On time counting procedures in the DSMC method for rarefied gases
    • PII S0378475498001426
    • S. Rjasanow and W. Wagner, On time counting procedures in the DSMC method for rarefied gases, Math. Comput. Simulation 48 (1998), pp. 151-176. (Pubitemid 128453438)
    • (1998) Mathematics and Computers in Simulation , vol.48 , Issue.2 , pp. 151-176
    • Rjasanow, S.1    Wagner, W.2
  • 21
    • 0036647480 scopus 로고    scopus 로고
    • A direct simulation method for subsonic, microscale gas flows
    • Q. Sun and I. D. Boyd, A direct simulation method for subsonic, microscale gas flows, J. Comput. Phys. 179 (2002), pp. 400-425.
    • (2002) J. Comput. Phys. , vol.179 , pp. 400-425
    • Sun, Q.1    Boyd, I.D.2
  • 22
    • 34249834360 scopus 로고
    • A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation
    • W. Wagner, A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation, J. Statist. Phys. 66 (1992), pp. 1011-1044.
    • (1992) J. Statist. Phys. , vol.66 , pp. 1011-1044
    • Wagner, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.