Abstract
A preconditioning iterative method is applied to the numerical computation of natural convection in a confined region by the SIMPLE algorithm. The preconditioning is carried out by multiplying the matrix which consists of the entries of the coefficient matrix of a linear system of equations. It is concluded that the preconditioning is quite effective especially for the linear system of equations whose degree of diagonal dominance of a coefficient matrix is weak, such as of pressure correction. The number of arithmetic operations with the proposed preconditioning iterative method is smallest in this study.
