The cumulant method for computational kinetic theory

Continuum Mechanics and Thermodynamics

Volumn 12, Issue 6, 2000, Pages 403-421

  Seeger, Steffen ^a   Hoffmann, Karl Heinz ^a  

^a CHEMNITZ UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034346684     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001610050145     Document Type: Article

References (17)

1. Chen S, and Doolen GD (1998) Lattice Boltzmann method for fluid flows. Annu. Rev. Fluid Mech., 30: 329-364, 1998.
2. Kato Y, Kono K, Seta T, Martinez D, and Chen S (1997) Amadeus project and microscopic simulation of boiling two-phase flow by the lattice-Boltzmann method. Internat. J. Modern Phys. C, 8(4): 843-858
3. Liu I-S, and Müller I (1983) Extended thermodynamics of classical and degenerate ideal gases. Arch. Rational Mech. Anal., 83: 285-331
4. Müller I, and Ruggeri T (1998) Rational Extended Thermodynamics. Springer Tracts in Natural Philosophy, 2nd edn, Vol. 37. Berlin Heidelberg New York: Springer
5. Grad H (1958) Principles of The Kinetic Theory of Gases. Handbuch der Physik, Vol. XII, p. 205. Berlin Heidelberg Göttingen: Springer
6. Mattner L (1999) What are cumulants? Doc. Math. J. DMV, 4: 601-622
7. Ruggeri T (1989) Galilean invariance and entropy principle for systems of balance laws. Cont. Mech. Thermodyn., 1
8. Grad H (1949) On the kinetic theory of rarefied gases. Comm. Pure Appl. Math., 2: 331-407
9. Maxwell JC (1879) On stresses in rarified gases arising from inequalities of temperature. Phil. Trans. Royal Soc., 170: 231-256
10. Knudsen M (1950) The Kinetic Theory of Gases. Methuen, London
11. Cercignani C, Illner R, and Pulvirenti M (1994) The Mathematical Theory of Dilute Gases. Applied Mathematical Sciences, Vol. 106. Springer
12. Cercignani C (1988) The Boltzmann Equation and Its Applications. Applied Mathematical Sciences, Vol. 67. Springer
13. Kuščer I (1978) Phenomenological aspects of gas-surface interaction. In: Dohen EGD, and Fiszdom W (eds) Fundamental Problems in Statistical Mechanics, Vol. IV, pp. 441-467. Ossolineum, Warsaw
14. Toro EF (1999) Riemann Solvers and Numerical Methods for Fluid Dynamics. 2nd edn. Berlin Heidelberg New York: Springer
15. Lax PD (1954) Weak solutions of nonlinear hyperbolic equations and their numerical computation. Comm. Pure. Appl. Math., VII: 159-193
16. Bhatnagar PL, Gross EP, and Krook M (1954) A model for collision processes in gases, i. small amplitude processes in charged and neutral one-component systems. Phys. Rev., 94: 511-525
17. Reitebuch D, and Weiss W (1999) Application of high moment theory to the plane Couette flow. Cont. Mech. Thermodyn., 4: 217-225