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Volumn 132, Issue 11, 2010, Pages

On variance-reduced simulations of the Boltzmann transport equation for small-scale heat transfer applications

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN TRANSPORT EQUATION; COMPUTATIONAL COSTS; DILUTE GAS; HEAT TRANSFER APPLICATIONS; PARTICLE METHODS; PARTICLE SIMULATION METHOD; RELAXATION-TIME MODEL; SHARP CONTRAST; STOCHASTIC PARTICLE METHODS; VARIANCE REDUCTIONS;

EID: 79952085512     PISSN: 00221481     EISSN: 15288943     Source Type: Journal    
DOI: 10.1115/1.4002028     Document Type: Article
Times cited : (34)

References (31)
  • 2
    • 71749104133 scopus 로고
    • Microscale heat conduction in dielectric thin films
    • Majumdar, A., 1993, "Microscale Heat Conduction in Dielectric Thin Films," ASME J. Heat Transfer, 115, pp. 7-16.
    • (1993) ASME J. Heat Transfer , vol.115 , pp. 7-16
    • Majumdar, A.1
  • 3
    • 0036536305 scopus 로고    scopus 로고
    • Ballistic-diffusive equations for transient heat conduction from nano to macroscales
    • DOI 10.1115/1.1447938, Micro/nanoscale heat transfer
    • Chen, G., 2002, "Ballistic-Diffusive Equations for Transient Heat Conduction From Nano to Macroscales (Pubitemid 34416297)
    • (2002) Journal of Heat Transfer , vol.124 , Issue.2 , pp. 320-328
    • Chen, G.1
  • 4
    • 0036536681 scopus 로고    scopus 로고
    • Certain anomalies in the analysis of hyperbolic heat conduction
    • DOI 10.1115/1.1447935, Micro/nanoscale heat transfer
    • Haji-Sheikh, A., Minkowycz, W. J., and Sparrow, E. M., 2002, "Certain Anomalies in the Analysis of Hyperbolic Heat Conduction," ASME J. Heat Transfer, 124, pp. 307-319. (Pubitemid 34416296)
    • (2002) Journal of Heat Transfer , vol.124 , Issue.2 , pp. 307-319
    • Haji-Sheikh, A.1    Minkowycz, W.J.2    Sparrow, E.M.3
  • 5
    • 36549042482 scopus 로고    scopus 로고
    • On the motion induced in a gas confined in a small-scale gap due to instantaneous boundary heating
    • DOI 10.1017/S0022112007008658, PII S0022112007008658
    • Manela, A., and Hadjiconstantinou, N. G., 2007, "On the Motion Induced in a Gas Confined in a Small-Scale Gap Due to Instantaneous Heating," J. Fluid Mech., 593, pp. 453-462. (Pubitemid 350186799)
    • (2007) Journal of Fluid Mechanics , vol.593 , pp. 453-462
    • Manela, A.1    Hadjiconstantinou, N.G.2
  • 6
    • 0036537264 scopus 로고    scopus 로고
    • Constant-wall-temperature nusselt number in micro and nano-channels
    • DOI 10.1115/1.1447931, Micro/nanoscale heat transfer
    • Hadjiconstantinou, N. G., 2002, "Constant-Wall-Temperature Nusselt Number in Micro and Nano Channels," ASME J. Heat Transfer, 124, pp. 356-364. (Pubitemid 34416301)
    • (2002) Journal of Heat Transfer , vol.124 , Issue.2 , pp. 356-364
    • Hadjiconstantinou, N.G.1    Simek, O.2
  • 7
    • 0242318207 scopus 로고    scopus 로고
    • Dissipation in small scale gaseous flows
    • DOI 10.1115/1.1571088
    • Hadjiconstantinou, N. G., 2003, "Dissipation in Small Scale Gaseous Flows," ASME J. Heat Transfer, 125, pp. 944-947. (Pubitemid 37348095)
    • (2003) Journal of Heat Transfer , vol.125 , Issue.5 , pp. 944-947
    • Hadjiconstantinou, N.G.1
  • 8
    • 33751574666 scopus 로고    scopus 로고
    • The limits of navier-stokes theory and kinetic extensions for describing small-scale gaseous hydrodynamics
    • Hadjiconstantinou, N. G., 2006, "The Limits of Navier-Stokes Theory and Kinetic Extensions for Describing Small-Scale Gaseous Hydrodynamics," Phys. Fluids, 18, p. 111301.
    • (2006) Phys. Fluids , vol.18 , pp. 111301
    • Hadjiconstantinou, N.G.1
  • 9
    • 0034306536 scopus 로고    scopus 로고
    • Analysis of discretization in the direct simulation Monte Carlo
    • Hadjiconstantinou, N. G., 2000, "Analysis of Discretization in the Direct Simulation Monte Carlo," Phys. Fluids, 12, pp. 2634-2638.
    • (2000) Phys. Fluids , vol.12 , pp. 2634-2638
    • Hadjiconstantinou, N.G.1
  • 10
    • 34248172514 scopus 로고    scopus 로고
    • On the application of the BGK kinetic model to the analysis of gas-structure interactions in MEMS
    • DOI 10.1016/j.compstruc.2007.01.011, PII S0045794907000156, Fourth MIT Conference on Computational Fluid and Solid Mechanics
    • Frangi, A., Frezzotti, A., and Lorenzani, S., 2007, "On the Application of the BGK Kinetic Model to the Analysis of Gas-Structure Interactions in MEMS," Comput. Struct., 85, pp. 810-817. (Pubitemid 46719344)
    • (2007) Computers and Structures , vol.85 , Issue.11-14 , pp. 810-817
    • Frangi, A.1    Frezzotti, A.2    Lorenzani, S.3
  • 11
    • 20444423329 scopus 로고    scopus 로고
    • Variance reduction for Monte Carlo solutions of the boltzmann equation
    • Baker, L. L., and Hadjiconstantinou, N. G., 2005, "Variance Reduction for Monte Carlo Solutions of the Boltzmann Equation," Phys. Fluids, 17, p. 051703.
    • (2005) Phys. Fluids , vol.17 , pp. 051703
    • Baker, L.L.1    Hadjiconstantinou, N.G.2
  • 13
    • 0028011738 scopus 로고
    • Direct simulation of phonon-mediated heat transfer in a Debye crystal
    • Peterson, R. B., 1994, "Direct Simulation of Phonon-Mediated Heat Transfer in a Debye Crystal," ASME J. Heat Transfer, 116, pp. 815-822. (Pubitemid 288634)
    • (1994) Transactions - ASME: Journal of Heat Transfer , vol.116 , Issue.4 , pp. 815-822
    • Peterson, R.B.1
  • 14
    • 0035422243 scopus 로고    scopus 로고
    • Monte Carlo study of phonon transport in solid thin films including dispersion and polarization
    • DOI 10.1115/1.1377018
    • Mazumder, S., and Majumdar, A., 2001, "Monte Carlo Study of Phonon Transport in Solid Thin Films Including Dispersion and Polarization," ASME J. Heat Transfer, 123, pp. 749-759. (Pubitemid 32770644)
    • (2001) Journal of Heat Transfer , vol.123 , Issue.4 , pp. 749-759
    • Mazumder, S.1    Majumdar, A.2
  • 15
    • 0344942594 scopus 로고    scopus 로고
    • Statistical error in particle simulations of hydrodynamic phenomena
    • DOI 10.1016/S0021-9991(03)00099-8
    • Hadjiconstantinou, N. G., Garcia, A. L., Bazant, M. Z., and He, G., 2003, "Statistical Error in Particle Simulations of Hydrodynamic Phenomena," J. Comput. Phys., 187, pp. 274-297. (Pubitemid 36515581)
    • (2003) Journal of Computational Physics , vol.187 , Issue.1 , pp. 274-297
    • Hadjiconstantinou, N.G.1    Garcia, A.L.2    Bazant, M.Z.3    He, G.4
  • 16
    • 47249125415 scopus 로고    scopus 로고
    • Variance-reduced particle methods for solving the boltzmann equation
    • Baker, L. L., and Hadjiconstantinou, N. G., 2008, "Variance-Reduced Particle Methods for Solving the Boltzmann Equation," J. Comput. Theor. Nanosci., 5, pp. 165-174.
    • (2008) J. Comput. Theor. Nanosci. , vol.5 , pp. 165-174
    • Baker, L.L.1    Hadjiconstantinou, N.G.2
  • 17
    • 34248189700 scopus 로고    scopus 로고
    • Low-variance deviational simulation Monte Carlo
    • Homolle, T. M. M., and Hadjiconstantinou, N. G., 2007, "Low-Variance Deviational Simulation Monte Carlo," Phys. Fluids, 19, p. 041701.
    • (2007) Phys. Fluids , vol.19 , pp. 041701
    • Homolle, T.M.M.1    Hadjiconstantinou, N.G.2
  • 18
    • 34548663326 scopus 로고    scopus 로고
    • A low-variance deviational simulation Monte Carlo for the boltzmann equation
    • Homolle, T. M. M., and Hadjiconstantinou, N. G., 2007, "A Low-Variance Deviational Simulation Monte Carlo for the Boltzmann Equation," J. Comput. Phys., 226, pp. 2341-2358.
    • (2007) J. Comput. Phys. , vol.226 , pp. 2341-2358
    • Homolle, T.M.M.1    Hadjiconstantinou, N.G.2
  • 25
    • 57849133490 scopus 로고    scopus 로고
    • Variance reduced Monte Carlo solutions of the boltzmann equation for low-speed gas flows: A discontinuous galerkin formulation
    • Baker, L. L., and Hadjiconstantinou, N. G., 2008, "Variance Reduced Monte Carlo Solutions of the Boltzmann Equation for Low-Speed Gas Flows: A Discontinuous Galerkin Formulation," Int. J. Numer. Methods Fluids, 58, pp. 381-402.
    • (2008) Int. J. Numer. Methods Fluids , vol.58 , pp. 381-402
    • Baker, L.L.1    Hadjiconstantinou, N.G.2
  • 27
    • 0000045708 scopus 로고
    • Comparison of kinetic theory analyses of linearized heat transfer between parallel plates
    • Bassanini, P., Cercignani, C., and Pagani, C. D., 1967, "Comparison of Kinetic Theory Analyses of Linearized Heat Transfer Between Parallel Plates," Int. J. Heat Mass Transfer, 10, pp. 447-460.
    • (1967) Int. J. Heat Mass Transfer , vol.10 , pp. 447-460
    • Bassanini, P.1    Cercignani, C.2    Pagani, C.D.3
  • 28
    • 0041103067 scopus 로고
    • Influence of the accommodation coefficient on the heat transfer in a rarefied gas
    • Bassanini, P., Cercignani, C., and Pagani, C. D., 1968, "Influence of the Accommodation Coefficient on the Heat Transfer in a Rarefied Gas," Int. J. Heat Mass Transfer, 11, pp. 1359-1369.
    • (1968) Int. J. Heat Mass Transfer , vol.11 , pp. 1359-1369
    • Bassanini, P.1    Cercignani, C.2    Pagani, C.D.3
  • 29
    • 57149113161 scopus 로고    scopus 로고
    • Gas motion induced by unsteady boundary heating in a small-scale slab
    • Manela, A., and Hadjiconstantinou, N. G., 2008, "Gas Motion Induced by Unsteady Boundary Heating in a Small-Scale Slab," Phys. Fluids, 20, p. 117104.
    • (2008) Phys. Fluids , vol.20 , pp. 117104
    • Manela, A.1    Hadjiconstantinou, N.G.2
  • 30
    • 67549103850 scopus 로고    scopus 로고
    • Variance-reduced particle simulation of the boltzmann transport equation in the relaxation-time approximation
    • Radtke, G. A., and Hadjiconstantinou, N. G., 2009, "Variance-Reduced Particle Simulation of the Boltzmann Transport Equation in the Relaxation-Time Approximation," Phys. Rev. E, 79, p. 056711.
    • (2009) Phys. Rev. E , vol.79 , pp. 056711
    • Radtke, G.A.1    Hadjiconstantinou, N.G.2
  • 31
    • 0000983647 scopus 로고
    • Efficient generation of random variables via the ratio-of-uniforms method
    • Wakefield, J. C., Gelfand, A. E., and Smith, A. F. M., 1991, "Efficient Generation of Random Variables via the Ratio-of-Uniforms Method," Stat. Comput., 1, pp. 129-133.
    • (1991) Stat. Comput. , vol.1 , pp. 129-133
    • Wakefield, J.C.1    Gelfand, A.E.2    Smith, A.F.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.