1988 Volume 74 Issue 8 Pages 1546-1553
It is difficult to conform the discretization points to boundaries of the arbitrarily shaped region on the finite difference method of rectangular coordinate system. In this study the discretization method based on Gauss's divergence theorem is improved to deal with the arbitrarily shaped region in Eulerian method, and the present method is able to use the effective numerical techniques that have been developed on rectangular coordinate system.
As numerical examples, steady heat conduction problem is calculated and compared with the solution of FEM, and some trials are made on analysis of problems in incompressible fluid flow. The present method is found to be useful to solve numerically partial differential equations derived from mass, heat and momentum balances.
