메뉴 건너뛰기




Volumn 226, Issue 2, 2007, Pages 2341-2358

A low-variance deviational simulation Monte Carlo for the Boltzmann equation

Author keywords

Boltzmann equation; Nanoscale gas flow; Numerical solution; Particle method; Variance reduction

Indexed keywords

BOLTZMANN EQUATION; COMPUTATIONAL EFFICIENCY; DISTRIBUTION FUNCTIONS; IMPORTANCE SAMPLING; NUMERICAL METHODS;

EID: 34548663326     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.07.006     Document Type: Article
Times cited : (159)

References (24)
  • 3
    • 20444423329 scopus 로고    scopus 로고
    • Variance reduction for Monte Carlo solutions of the Boltzmann Equation
    • Baker L.L., and Hadjiconstantinou N.G. Variance reduction for Monte Carlo solutions of the Boltzmann Equation. Phys. Fluids 17 (2005) 051703
    • (2005) Phys. Fluids , vol.17 , pp. 051703
    • Baker, L.L.1    Hadjiconstantinou, N.G.2
  • 5
    • 85189851258 scopus 로고    scopus 로고
    • L.L. Baker, N.G. Hadjiconstantinou, Variance reduction in particle methods for solving the Boltzmann equation, in: Proceedings of the Fourth International Conference on Nanochannels, Microchannels and Minichannels, Paper ICNMM2006-96089, 2006.
  • 6
    • 85189853193 scopus 로고    scopus 로고
    • L.L. Baker, N.G. Hadjiconstantinou. Variance-reduced particle methods for solving the Boltzmann equation, Journal of Computational and Theoretical Nanoscience, in press.
  • 8
    • 85189853113 scopus 로고    scopus 로고
    • T.M.M. Homolle. Efficient particle methods for solving the Boltzmann equation, M.S. Thesis, Aeronautics and Astronautics Department, MIT, January 2007.
  • 9
    • 34249834360 scopus 로고
    • A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation
    • Wagner W. A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation. J. Stat. Phys. 66 (1992) 1011-1044
    • (1992) J. Stat. Phys. , vol.66 , pp. 1011-1044
    • Wagner, W.1
  • 10
    • 0344942594 scopus 로고    scopus 로고
    • Statistical error in particle simulations of hydrodynamic phenomena
    • Hadjiconstantinou N.G., Garcia A.L., Bazant M.Z., and He G. Statistical error in particle simulations of hydrodynamic phenomena. J. Comput. Phys. 187 (2003) 274-297
    • (2003) J. Comput. Phys. , vol.187 , pp. 274-297
    • Hadjiconstantinou, N.G.1    Garcia, A.L.2    Bazant, M.Z.3    He, G.4
  • 11
    • 34248189700 scopus 로고    scopus 로고
    • Low-variance deviational simulation Monte Carlo
    • Homolle T.M.M., and Hadjiconstantinou N.G. Low-variance deviational simulation Monte Carlo. Phys. Fluids 19 (2007) 041701
    • (2007) Phys. Fluids , vol.19 , pp. 041701
    • Homolle, T.M.M.1    Hadjiconstantinou, N.G.2
  • 12
    • 0003138434 scopus 로고
    • Asymptotic theory of the Boltzmann equation II
    • Laurmann J.A. (Ed), Academic Press
    • Grad H. Asymptotic theory of the Boltzmann equation II. In: Laurmann J.A. (Ed). Rarefied Gas Dyn. (1963), Academic Press 26-59
    • (1963) Rarefied Gas Dyn. , pp. 26-59
    • Grad, H.1
  • 13
    • 85189849852 scopus 로고    scopus 로고
    • L.L. Baker, Efficient numerical methods for solving the Boltzmann equation for small scale flows, PhD Thesis, Mechanical Engineering Department, MIT, May 2007.
  • 14
    • 5844341702 scopus 로고
    • Temperature jump and Knudsen layer in a rarefied gas over a plane wall: Numerical analysis of the linearized Boltzmann equation for hard-sphere molecules
    • Sone Y., Ohwada T., and Aoki K. Temperature jump and Knudsen layer in a rarefied gas over a plane wall: Numerical analysis of the linearized Boltzmann equation for hard-sphere molecules. Phys. Fluids 1 (1989) 363-370
    • (1989) Phys. Fluids , vol.1 , pp. 363-370
    • Sone, Y.1    Ohwada, T.2    Aoki, K.3
  • 15
    • 0001075746 scopus 로고
    • Numerical analysis of the shear and thermal creep flows of a rarefied gas over a plane wall on the basis of the linearized Boltzmann equation for hard-sphere molecules
    • Ohwada T., Sone Y., and Aoki K. Numerical analysis of the shear and thermal creep flows of a rarefied gas over a plane wall on the basis of the linearized Boltzmann equation for hard-sphere molecules. Phys. Fluids 1 (1989) 1588-1599
    • (1989) Phys. Fluids , vol.1 , pp. 1588-1599
    • Ohwada, T.1    Sone, Y.2    Aoki, K.3
  • 16
    • 36549094315 scopus 로고
    • Numerical analysis of the Poiseuille and thermal transpiration flows between parallel plates on the basis of the Boltzmann equation for hard-sphere molecules
    • Ohwada T., Sone Y., and Aoki K. Numerical analysis of the Poiseuille and thermal transpiration flows between parallel plates on the basis of the Boltzmann equation for hard-sphere molecules. Phys. Fluids 1 (1989) 2042-2049
    • (1989) Phys. Fluids , vol.1 , pp. 2042-2049
    • Ohwada, T.1    Sone, Y.2    Aoki, K.3
  • 17
    • 0035449845 scopus 로고    scopus 로고
    • A rarefied gas flow caused by a discontinuous wall temperature
    • Aoki K., Takata S., Aikawa H., and Golse F. A rarefied gas flow caused by a discontinuous wall temperature. Phys. Fluids 13 (2001) 2645-2661
    • (2001) Phys. Fluids , vol.13 , pp. 2645-2661
    • Aoki, K.1    Takata, S.2    Aikawa, H.3    Golse, F.4
  • 18
    • 85189844277 scopus 로고    scopus 로고
    • Cercignani C. Slow Rarefied Flows: Theory and Application to Micro-Electro-Mechanical Systems, 2006.
  • 19
    • 33751574666 scopus 로고    scopus 로고
    • The limits of Navier-Stokes theory and kinetic extensions for describing small-scale gaseous hydrodynamics
    • Hadjiconstantinou N.G. The limits of Navier-Stokes theory and kinetic extensions for describing small-scale gaseous hydrodynamics. Phys. Fluids 18 (2006) 111301
    • (2006) Phys. Fluids , vol.18 , pp. 111301
    • Hadjiconstantinou, N.G.1
  • 21
    • 0001842984 scopus 로고
    • Partially linearized algorithms in gyrokinetic particle simulation
    • Dimits A.M., and Lee W.W. Partially linearized algorithms in gyrokinetic particle simulation. J. Comput. Phys. 107 (1993) 309-323
    • (1993) J. Comput. Phys. , vol.107 , pp. 309-323
    • Dimits, A.M.1    Lee, W.W.2
  • 23
    • 33846174630 scopus 로고    scopus 로고
    • Quiet direct simulation Monte-Carlo with random timesteps
    • Peter W. Quiet direct simulation Monte-Carlo with random timesteps. J. Comput. Phys. 221 (2007) 1-8
    • (2007) J. Comput. Phys. , vol.221 , pp. 1-8
    • Peter, W.1
  • 24
    • 0036469853 scopus 로고    scopus 로고
    • Sound-wave propagation in transition-regime micro- and nanochannels
    • Hadjiconstantinou N.G. Sound-wave propagation in transition-regime micro- and nanochannels. Phys. Fluids 14 (2002) 802-809
    • (2002) Phys. Fluids , vol.14 , pp. 802-809
    • Hadjiconstantinou, N.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.