Linearized Boltzmann equation: A preliminary exploration of its range of applicability

AIP Conference Proceedings

Volumn 1501, Issue 1, 2012, Pages 735-741

  Ghiroldi, Gian Pietro ^a   Gibelli, Livio ^a   Dagna, Paride ^b   Invernizzi, Alice ^b  

^a POLITECNICO DI MILANO   (Italy)

^b CILEA   (Italy)

Author keywords

cavity flow; deterministic scheme; Linearized Boltzmann equation

Indexed keywords

EID: 84873123897     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.4769615     Document Type: Conference Paper

References (13)

1. G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows, Oxford University Press, 1994.
2. J. Fan and C. Shen, J. Comput. Phys. 167, 393-412 (2001).
3. L. Baker and N. Hadjiconstantinou, Phys. Fluids 17, 051703 (2005).
4. G. A. Radtke, N. H. Hadjiconstantinou and W. Wagner, Phys. Fluids 23, 030606 (2011).
5. S. Pantazis and D. Valougeorgis, Eur. J. Mech. B/Fluids 29, 494-509 (2010).
6. V. V. Aristov, Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows, Kluwer Academic Publishers, 2001.
7. P. Degond, L. Pareschi and G. Russo, Modeling and Computational Methods for Kinetic Equations, Series: Modeling and Simulation in Science, Engineering and Technology, Birkhäuser, 2004.
8. F. Tcheremissine, AIP Conf. Proc. 762, 677-685 (2005).
9. F. Filbet, C. Mouhut and L. Pareschi, SIAM J. Sci. Comput. 28, 1029-1053 (2006).
10. P. Kowalczyk, A. Palczewski, G. Russo and Z. Walenta, Eur. J. Mech. B/Fluids 27, 62-74 (2008).
11. M. K. Gobbert, S. G. Webster and T. S. Cale, J. Sci. Comput. 30, 237-273 (2007).
12. A. Frezzotti, L. Gibelli and B. Franzelli, Cont. Mech. Therm. 21, 495-509 (2009).
13. R. J. LeVeque, Finite Volume Methods for Hyperbolic Problems, Cambridge University Press, 2002.