有限公式法是一种直接从物理规律出发、借助定义在两嵌套网格几何元素上的全局变量构造离散方程的新型数值计算方法。在建立有限公式法温度场数学模型的基础上,本文讨论了基于映射网格的对流散热边界处理及其编程实现,并给出了有限公式法温度场模块化编程的基本思路。最后,以对一台20k W水冷永磁同步电机三维温度场的分析,研究了冷却水流速、冷却水温与电机温升分布的规律;并以电机温升试验值、同一网格下的有限元法计算值验证了所编制程序计算的准确性、可靠性。
Finite formulation method( FFM) is a new discrete numerical method which complies with the laws of physics and uses global variable defined on geometry construction of two nested grids to obtain discrete equations.On the basis of the finite formulation method of temperature field mathematical model,the paper discusses the implementation of grid-based mapping convection boundary treatment and programming,and gives the basic idea of designing calculation program.Finally,take a 20 k W water-cooled permanent magnet motor 3D temperature field as an example,it analyzes the relationship of the cooling water flow rate and cooling temperature and motor temperature distribution,meanwhile,the values of temperature rise calculated by Finite Element Method( FEM) under the same grid and temperature test verified the accuracy and reliability of the program.