IJPAM: Volume 51, No. 2 (2009)

Invited Lecture Delivered at
Fifth International Conference of Applied Mathematics
and Computing (Plovdiv, Bulgaria, August 12-18, 2008)


A SPECTRAL METHOD FOR RAREFIED GAS DYNAMICS
PROBLEMS IN CYLINDRICAL GEOMETRY

P. Rodrigues$^1$, C.H. Kamphorst$^2$, L.B. Barichello$^3$
$^{1,2}$Departamento de Ciências Exatas e da Terra
Universidade Regional Integrada do Alto Uruguai e das Missões
Av. Assis Brasil, 709 - Cx. Postal 184
98400-000, Frederico Westphalen, RS, BRASIL
$^1$e-mail: [email protected]
$^2$e-mail: [email protected]
$^3$Instituto de Matemática
Universidade Federal do Rio Grande do Sul
Av. Bento Gonçalves, 9500 - Cx. Postal 15080
91509-900, Porto Alegre, RS, BRASIL
e-mail: [email protected]


Abstract.A classical spectral approach based on Legendre polynomials is used to solve an integral equation required to describe rarefied gas flows in a cylindrical tube. The formulation is based on the BGK kinetic model for solving the Poiseuille and thermal creep problems.

Received: August 14, 2008

AMS Subject Classification: 76P05, 76M22, 31B10

Key Words and Phrases: integral equations, spectral methods, rarefied gas dynamics

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 51
Issue: 2