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Volumn 17, Issue 5, 2005, Pages 1-4

Variance reduction for Monte Carlo solutions of the Boltzmann equation

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; MONTE CARLO METHODS; PROBLEM SOLVING; RANDOM PROCESSES; SIGNAL TO NOISE RATIO; STATISTICAL METHODS;

EID: 20444423329     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1899210     Document Type: Article
Times cited : (151)

References (20)
  • 3
    • 1542786313 scopus 로고    scopus 로고
    • "Micro-electro-mechanical systems (MEMS) and fluid flows"
    • ARVFA30066-418910.1146/annurev.fluid.30.1.579
    • C. M. Ho and Y. C. Tai, "Micro-electro-mechanical systems (MEMS) and fluid flows," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/ annurev.fluid.30.1.579 30, 579 (1998).
    • (1998) Annu. Rev. Fluid Mech. , vol.30 , pp. 579
    • Ho, C.M.1    Tai, Y.C.2
  • 6
    • 0000503233 scopus 로고    scopus 로고
    • "The direct simulation Monte Carlo method"
    • CPHYE20894-186610.1063/1.168619
    • F. J. Alexander and A. L. Garcia, "The direct simulation Monte Carlo method," Comput. Phys.CPHYE20894-186610.1063/1.168619 11, 588 (1997).
    • (1997) Comput. Phys. , vol.11 , pp. 588
    • Alexander, F.J.1    Garcia, A.L.2
  • 7
    • 34249834360 scopus 로고
    • "A convergence proof for bird's direct simulation Monte Carlo method for the Boltzmann equation"
    • JSTPBS0022-471510.1007/BF01055714
    • W. Wagner, "A convergence proof for bird's direct simulation Monte Carlo method for the Boltzmann equation," J. Stat. Phys.JSTPBS0022-471510.1007/BF01055714 66, 1011 (1992).
    • (1992) J. Stat. Phys. , vol.66 , pp. 1011
    • Wagner, W.1
  • 8
    • 0344942594 scopus 로고    scopus 로고
    • "Statistical error in particle simulations of hydrodynamic phenomena"
    • JCTPAH0021-999110.1016/S0021-9991(03)00099-8
    • N. G. Hadjiconstantinou, A. L. Garcia, M. Z. Bazant, and G. He, "Statistical error in particle simulations of hydrodynamic phenomena," J. Comput. Phys.JCTPAH0021-999110.1016/ S0021-9991(03)00099-8 187, 274 (2003).
    • (2003) J. Comput. Phys. , vol.187 , pp. 274
    • Hadjiconstantinou, N.G.1    Garcia, A.L.2    Bazant, M.Z.3    He, G.4
  • 9
    • 0008519617 scopus 로고
    • "The Δ-∈ method for the Boltzmann equation"
    • JCTPAH0021-999110.1006/jcph.1994.1030
    • Z. Tan and P. L. Varghese, "The Δ-∈ method for the Boltzmann equation," J. Comput. Phys. JCTPAH0021-999110.1006/ jcph.1994.1030 110, 327 (1994).
    • (1994) J. Comput. Phys. , vol.110 , pp. 327
    • Tan, Z.1    Varghese, P.L.2
  • 11
    • 0034336649 scopus 로고    scopus 로고
    • "Solving the Boltzmann equation in the case of passing to the hydro-dynamic flow regime"
    • DOPHFU1028-335810.1134/1.1310733
    • F. G. Cheremisin, "Solving the Boltzmann equation in the case of passing to the hydro-dynamic flow regime," Dokl. Phys.DOPHFU1028-335810.1134/1.1310733 45, 401 (2000).
    • (2000) Dokl. Phys. , vol.45 , pp. 401
    • Cheremisin, F.G.1
  • 12
    • 36549094315 scopus 로고
    • "Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard-sphere molecules"
    • APFADEB0899-821310.1063/1.857478
    • T. Ohwada, Y. Sone, and K. Aoki, "Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard-sphere molecules," Phys. Fluids A APFADEB0899-821310.1063/1.857478 1, 2042 (1989).
    • (1989) Phys. Fluids A , vol.1 , pp. 2042
    • Ohwada, T.1    Sone, Y.2    Aoki, K.3
  • 14
    • 0003460870 scopus 로고
    • edited by S. Kotz, N.L. Johnson, and C.B. Read (Wiley, New York,), Vol
    • Encyclopedia of Statistical Sciences, edited by S. Kotz, N. L. Johnson, and C. B. Read (Wiley, New York, 1982), Vol. 2.
    • (1982) Encyclopedia of Statistical Sciences , vol.2
  • 15
    • 0021196778 scopus 로고
    • "Numerical solution of the nonlinear Boltzmann equation for nonequilibrium gas flow problems"
    • ARVFA30066-418910.1146/annurev.fluid..16.1.67
    • S. M. Yen, "Numerical solution of the nonlinear Boltzmann equation for nonequilibrium gas flow problems," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/annurev.fluid.16.1.67 16, 67 (1984).
    • (1984) Annu. Rev. Fluid Mech. , vol.16 , pp. 67
    • Yen, S.M.1
  • 16
    • 0034045486 scopus 로고    scopus 로고
    • "Solving the kinetic equation for all Knudsen numbers"
    • PHFLE61070-663110.1063/1.870322
    • A. E. Beylich, "Solving the kinetic equation for all Knudsen numbers," Phys. FluidsPHFLE61070-663110.1063/1.870322 12, 444 (2000).
    • (2000) Phys. Fluids , vol.12 , pp. 444
    • Beylich, A.E.1
  • 18
    • 0037431128 scopus 로고    scopus 로고
    • "High order numerical methods for the space non-homogeneous Boltzmann equation"
    • JCTPAH0021-9991
    • F. Filbet and G. Russo, "High order numerical methods for the space non-homogeneous Boltzmann equation," J. Comput. Phys.JCTPAH0021-9991 186, 457 (2003).
    • (2003) J. Comput. Phys. , vol.186 , pp. 457
    • Filbet, F.1    Russo, G.2
  • 19
    • 0027508828 scopus 로고
    • "Numerical analysis of a uniform flow of a rarefied gas past a sphere on the basis of the Boltzmann equation for hard-sphere molecules"
    • APFADEB0899-821310.1063/1.858655
    • S. Takata, Y. Sone, and K. Aoki, "Numerical analysis of a uniform flow of a rarefied gas past a sphere on the basis of the Boltzmann equation for hard-sphere molecules," Phys. Fluids A APFADEB0899-821310.1063/1.858655 5, 716 (1993).
    • (1993) Phys. Fluids A , vol.5 , pp. 716
    • Takata, S.1    Sone, Y.2    Aoki, K.3
  • 20
    • 0001174811 scopus 로고
    • "Flow of a rarefied gas between two parallel plates"
    • JAPIAU0021-897910.1063/1.1729249
    • C. Cercignani and A. Daneri, "Flow of a rarefied gas between two parallel plates," J. Appl. Phys.JAPIAU0021-897910.1063/1.1729249 34, 3509 (1963).
    • (1963) J. Appl. Phys. , vol.34 , pp. 3509
    • Cercignani, C.1    Daneri, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.