The Application of the Wavelet Finite Element Method on the Temperature Field and Thermal Stress Analysis of the Petroleum Tank

摘要

In order to analyze the temperature field and thermal stress distribution of the wall of the petroleum tank, the wavelet finite element was established by applying Daubechies wavelet scale function as interpolating function. And the temperature field and thermal stress distribution was calculated respectively. In order to verify the precise of the numerical method, the testing for measuring the temperature and the thermal stress of the tank wall was carried out. Through comparing the results by different method, conclusions can be drawn that the wavelet finite element was convergent and had higher analysis precision than traditional finite element method. The wavelet element method will apply less wavelet finite elements to obtain results with higher precision comparing with traditional finite element carried out by ANSYS software. The wavelet finite element method showed advantages for analyzing the high gradient problems. The wavelet finite element method would effectively offer the theory guidance for the optimizing design of the petroleum tank.