By C. Cercignani (auth.), Professor Renée Gatignol, Professor Soubbaramayer (eds.)
This quantity includes the complaints of the symposium hung on Friday 6 July 1990 on the collage Pierre et Marie Curie (Paris VI), France, in honor of Professor Henri Cabannes at the social gathering of his retirement. there have been approximately 100 members from 9 international locations: Canada, France, Germany, Italy, Japan, Norway, Portugal, the Netherlands, and the united states. lots of his previous scholars or his colleagues have been one of the contributors. The twenty-six papers during this quantity are written models submitted by means of the authors and canopy just about all the fields within which Professor Cabannes has actively labored for greater than forty-five years. The papers are offered in 4 chapters: classical kinetic thought and fluid dynamics, discrete kinetic idea, utilized fluid mechanics, and continuum mechanics. The editors wish to take this chance to thank the beneficiant spon sors of the symposium: the collage Pierre et Marie Curie, Commissariat a l'Energie Atomique (especially Academician R. Dautray and Dr. N. Camarcat) and path des Recherches et Etudes options (especially Professor P. Lallemand). Many thank you also are as a result of all of the individuals for making the symposium successful. ultimately, we thank Professor W. Beiglbock and his group at Springer-Verlag for generating this volume.
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Additional resources for Advances in Kinetic Theory and Continuum Mechanics: Proceedings of a Symposium Held in Honor of Professor Henri Cabannes at the University Pierre et Marie Curie, Paris, France, on 6 July 1990
The Monte -Carlo methods are the most widely used numerical methods in order to compute rarefied flows (see Bird [4J). In these methods, a large number of particles is used (far less however than the real physical number). In the presented algorithm, twenty particles are introduced in every cell at the beginning of the simulation. The velocity of each particle is randomly chosen according to the Maxwellian velocity distribution at infinity. The evolutions of the position, the velocity and the internal 34 energy of these particles are numerically performed during successive time steps according to the following transport and collision process which are activated alternatively : a) Transport process.
20. , "New kind of boundary layer over a convex solid boundary in a rarefied gas", Phys. Fluids 16, pp. 1422-1424, 1973. 21. , "Slightly rarefied gas flow over a specularly reflecting body", Phys. Fluids 20, pp. 571-576, 1977. 22. , and Onishi, Y, "Slightly rarefied gas flow over a body with small accommodation coefficient", J. Phys. Soc. Jpn. 47, pp. 663-671, 1979. 23. Sone, Y, "Force, its moment, and energy transfer on a closed body in a slightly rarefied gas", ed. by H. Oguchi, University of Tokyo Press, pp.
Is obtained by prescribing 1=0 (see Second step: from the knowledge of X at x=O, we compute that the quantity J J +oo E =0 [ v X L- 1 V v E 1R3 x kT~ using the fact 1dv dE E -kT' ____w_ f x too W is conserved (L is the linearised BGKM operator). 852 (3 (3 fIT dT' 2 dx The relative differences of the slip coefficients obtained by the Maxwell approximation and the variational method compared to the results obtained by Larini and Brun are plotted on figure 6. For (3=1, the Maxwell approximation leads to an error of 13% whereas the error of the variational method is always smaller than 2%.
Advances in Kinetic Theory and Continuum Mechanics: Proceedings of a Symposium Held in Honor of Professor Henri Cabannes at the University Pierre et Marie Curie, Paris, France, on 6 July 1990 by C. Cercignani (auth.), Professor Renée Gatignol, Professor Soubbaramayer (eds.)