Variance-reduced particle methods for solving the Boltzmann equation

Journal of Computational and Theoretical Nanoscience

Volumn 5, Issue 2, 2008, Pages 165-174

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

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

Boltzmann equation; DSMC; Microscale gas flow; Particle methods; Variance reduction

Indexed keywords

COMPUTATIONAL EFFICIENCY; FLOW OF GASES; MONTE CARLO METHODS;

DIRECT SIMULATION MONTE CARLO; DSMC; MICROSCALE GAS FLOW; PARTICLE METHODS; PARTICLE SIMULATIONS; VARIANCE REDUCTION APPROACH; VARIANCE REDUCTION TECHNIQUES; VARIANCE REDUCTIONS;

BOLTZMANN EQUATION;

EID: 47249125415     PISSN: 15461955     EISSN: None     Source Type: Journal    
DOI: 10.1166/jctn.2008.2457     Document Type: Article

References (16)

1. G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows, Clarendon Press, Oxford (1994).
2. N. G. Hadjiconstantinou, A. L. Garcia, M. Z. Bazant, and G He, Journal of Computational Physics 187, 274 (2003).
3. L. L. Baker and N. G. Hadjiconstantinou, Physics of Fluids 17, art. no. 051703 (2005).
4. L. L. Baker and N. G. Hadjiconstantinou, ICNMM2006 - 96089 Proceedings of ICNMM06, Fourth International Conference on Nanochannels, Microchannels, and Minichannels (2006).
5. J. Chun and D. L. Koch, Physics of Fluids 17, art. no. 107107 ( 2005).
6. T. Ohwada, Y. Sone, and K. Aoki, Phys. Fluids A 1, 2042 (1989).
7. L. L. Baker and N. G. Hadjiconstantinou, 3rd International Conference on Microchannels and Minichannels (2005).
8. W. G. Vincenti and C. H. Kruger, Introduction to Physical Gas Dynamic, Krieger, Florida (1965).
9. Z. Tan and P. L. Varghese, Journal of Computational Physics 110, 327 (1994).
10. C. Cercignani, The Boltzmann Equation and Its Applications, Springer-Verlag, New York (1988).
11. W. Wagner, Journal of Statistical Physics 66, 1011 (1992).
12. D. Goldstein, B. Sturtevant, and J. E. Broadwell, Proceedings of the 16th International Symposium on Rarefied Gas Dynamics, Pasadena, California (1989), Vol. 118.
13. T. M. M. Homolle and N. G. Hadjiconstantinou, Physics of Fluids 19, art. no. 041701 (2007);
14. T. M. M. Homolle and N. G. Hadjiconstantinou, Journal of Computational Physics 226, 2341 (2007).
15. F. J. Alexander and A. L. Garcia, Computers in Physics 11, 588 ( 1997).
16. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, 2nd edn., Cambridge University Press, Cambridge (1992).