IJPAM: Volume 38, No. 2 (2007)

NUMERICAL APPROXIMATIONS OF THE SOLUTION FOR
ONE-DIMENSIONAL COMPRESSIBLE VISCOUS
MICROPOLAR FLUID MODEL

Nermina Mujakovic$^1$, Ivan Drazic$^2$
$^1$Department of Mathematics
Faculty of Philosophy
University of Rijeka
Omladinska 14, Rijeka, 51000, CROATIA
e-mail: mujakovic@inet.hr
$^2$Department of Applied Mathematics
Faculty of Engineering
University of Rijeka
Vukovarska 58, Rijeka, 51000, CROATIA
e-mail: idrazic@riteh.hr


Abstract.We consider the model for nonstationary 1-D flow of a compressible viscous heat-conducting micropolar fluid which is thermodynamically perfect and polytropic. The model is in the Lagrangean description and in the form of four nonlinear partial differential equations. Using simple initial and boundary conditions for this equation system we develop numerical method for obtaining state function of described fluid on $[0,1]\times[0,T]$, $T>0$.

Received: May 11, 2007

AMS Subject Classification: 35K55, 35Q35, 76N99, 42A16, 65M99

Key Words and Phrases: micropolar fluid, strong solution, numerical solution

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 38
Issue: 2