A new method of boundary treatment in Heat conduction problems with finite element method

摘要

In regards to the defect of respectively handling three conditions, this paper puts forward a new unified expression fitting for different boundary conditions. It also obtains the parameter values of expression in different boundary conditions. Take the infinite square cylinder putting into cold liquor as an example, it works out a program using the improved new boundary treatment to simulate cylinder temperature field. This paper gets distributions of temperature field at four different times. The results of simulation not only meet the physical situation, but also have high precision compared with the theoretical solutions. Since being easy to deal with complex boundary conditions, the new way makes the FEM useful again in engineering calculation and research.