Abstract
In this study, we apply virtual boundary method of finite difference method with non-staggered coordinate grid system to simulate heat conduction of the irregularly shaped object and the metal forming problem. This method doesn't need to match the complex geometry of the object to do the grid generation and the conversion in different grid coordinates, so that the calculating time can be reduced and keep the accuracy at the same time. From the simulation results of the heat conduction of irregularly shaped object, the answer calculated by this method is very accurate. While the simulation results of metal forming are wrong, this is not a problem with this method, but rather the lack of stress wave equation in stress analysis causes this result.