Application of a new single staggered grid method to the heat transfer problems

Abstract

In this paper, a new single staggered grid method is proposed to solve the fluid dynamic problems numerically. The advantages of the new grid method are analyzed in comparison with the classical grid algorithms such as the staggered grids, collocated grids and semi-staggered grids. The discretization of the basic equations for the fluid dynamics on the new single staggered grids is derived and the corresponding SIMPLE algorithm is introduced. As an example, the heat transfer problem of fluid-flow at a right angle is solved to prove the validity of the new single staggered grid method.