THE P(N) METHOD IN THE KINETIC-THEORY OF GASES

被引：0

作者：

KUGERL, G ^{[1
]}

SCHURRER, F ^{[1
]}

机构：

[1] GRAZ UNIV,INST THEORET PHYS,PETERSGASSE 16,A-8010 GRAZ,AUSTRIA

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 1992年 / 47卷 / 09期

关键词：

KINETIC THEORY; NONLINEAR BOLTZMANN EQUATION; SPHERICAL HARMONICS METHOD; MOMENT EQUATIONS;

D O I：

暂无

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

An expansion of the velocity distribution function in a series of spherical harmonics is used to transform the nonlinear Boltzmann equation into a system of moment equations. The close connection between the moment equations of zeroth and first order with the transport equations for mass, momentum and energy is pointed out. By comparing the order of magnitude of the various moments it is shown that the P2 approximation is adequate for systems with small mean free path. Simplifications of the collision terms of the moment equations are discussed, where attention is payed to the conservation laws and the H theorem.

引用

页码：925 / 934

页数：10

共 20 条

[1] SONINE POLYNOMIAL SOLUTION OF BOLTZMANN EQUATION FOR RELAXATION OF INITIALLY NONEQUILIBRIUM DISTRIBUTION [J].

ABE, K .

PHYSICS OF FLUIDS, 1971, 14 (03) :492-&

[2] CONTINUITY EQUATION IN THE STUDY OF NONLINEAR PARTICLE-TRANSPORT EVOLUTION PROBLEMS [J].

BOFFI, VC ;

SPIGA, G .

PHYSICAL REVIEW A, 1984, 29 (02) :782-790

[3] ON THE RELATION BETWEEN THE SCATTERING KERNEL AND THE STANDARD FORMULATION OF THE BOLTZMANN-EQUATION [J].

CERCIGNANI, C ;

SGARRA, C ;

LAMPIS, M .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1988, 101 (05) :523-531

[4]

DAVISON B, 1958, NEUTRON TRANSPORT TH, pCH10

[5] NON-LINEAR MODEL BOLTZMANN EQUATIONS AND EXACT-SOLUTIONS [J].

ERNST, MH .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1981, 78 (01) :1-171

[6]

Gelbard E. M., 1968, COMPUTING METHODS RE

[7] ON THE KINETIC THEORY OF RAREFIED GASES [J].

GRAD, H .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1949, 2 (04) :331-407

[8]

Jaffe G, 1930, ANN PHYS-BERLIN, V6, P195

[9] LAGUERRE POLYNOMIAL SOLUTION OF THE NONLINEAR BOLTZMANN-EQUATION FOR THE HARD-SPHERE MODEL [J].

KUGERL, G .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1989, 40 (06) :816-827

[10] PKLM EXPANSION OF THE SCATTERING KERNEL OF THE NONLINEAR BOLTZMANN-EQUATION AND ITS CONVERGENCE RATE [J].

KUGERL, G ;

SCHURRER, F .

PHYSICAL REVIEW A, 1989, 39 (03) :1429-1440

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