IJPAM: Volume 42, No. 4 (2008)
IN CYLINDRICAL GEOMETRY
Department of Applied Mathematics
University of Leeds
Leeds, LS2 9JT, U.K.
Abstract.2D and 3D numerical solutions of the momentum, induction and temperature equations are presented in cylindrical geometry. Poloidal-toroidal expansions are implemented for the fluid flow and the magnetic field. These potential functions, as well as the temperature, are then expanded in terms of Chebyshev polynomials in , and Fourier modes in and , where are standard cylindrical coordinates.
Received: August 17, 2007
AMS Subject Classification: 65M70, 65Z05, 76M22
Key Words and Phrases: computational fluid dynamics
Source: International Journal of Pure and Applied Mathematics