Variance reduction in particle methods for solving the Boltzmann equation

Proceedings of the 4th International Conference on Nanochannels, Microchannels and Minichannels, ICNMM2006

Volumn 2006 A, Issue , 2006, Pages 377-384

  Baker, Lowell L ^a   Hadjiconstantinou, Nicolas G ^a  

^a Massachusetts Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; FLOW MEASUREMENT; FLUID DYNAMICS; PROBLEM SOLVING; STATISTICAL METHODS;

COMPUTATIONAL EFFICIENCY; PARTICLE METHODS; PARTICLE SIMULATION METHOD; SHEAR FLOW CALCULATIONS;

NONLINEAR EQUATIONS;

EID: 33846997584     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/icnmm2006-96089     Document Type: Conference Paper

References (13)

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3. Baker, L. L., and Hadjiconstantinou, N. G., 2005. "Variance reduction for Monte Carlo solutions of the Boltzmann equation". Physics of Fluids, 17, art. no. 051703.
4. Ohwada, T., Sone, Y., and Aoki, K., 1989. "Numerical analysis of the Poiseuille and thermal transpiration fows between two parallel plates on the basis of the Boltzmann equation for hard-sphere molecules". Physics of Fluids A, 1, pp. 2042 - 2049.
5. Baker, L. L., and Hadjiconstantinou, N. G., 2005. "A variance reduction approach for Monte Carlo solutions of the non-linear Boltzmann equation". In 3rd International Conference on Microchannels and Minichannels.
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8. Cercignani, C., 1988. The Boltzmann Equation and its Applications. Springer-Verlag, New York.
9. Wagner, W., 1992. "A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation". Journal of Statistical Physics, 66 (3-4), pp. 1011-1044.
10. Goldstein, D., Sturtevant, B., and Broadwell, J. E., 1989. "Investigations of the motions of discrete-velocity gases". Rarefied Gas Dynamics: Theoretical and Computational Techniques, pp. 100-117.
11. Karniadakis, G. E., and Beskok, A., 2001. Microflows: Fundamentals and Simulation. Springer.
12. Alexander, F. J., and Garcia, A. L., 1997. "The direct simulation Monte Carlo method". Computers in Physics, 11 (6), pp. 588-593.
13. Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P., 1992. Numerical Recipes in C, 2nd Edition. Cambridge University Press, Cambridge.