ARTICLE:

• A SPECTRAL FINITE DIFFERENCE ANALYSIS OF NATURAL CONVECTION IN A CAVITY  download article

Yoshihiro Mochimaru
Dept. of International Development Engineering, Tokyo Institute of Technology, Tokyo 152-8550, Japan

ABSTRACT

A steady-state two-dimensional natural convection in a rectangular equilateral or an equilateral triangle cavity is analyzed numerically, using a spectral finite difference scheme, where a conformal mapping coordinate system is used with a mapped unit circle for the boundary. Vorticity-stream function formulation is adopted in conjunction with an energy equation. Time marching integration algorithm in a diagonal dominant form under a Fourier series decomposition is used to give a steady-state field for a Dirichlet thermal boundary condition even at a Grashof number of 10⁵.

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