Multigrid Acceleration for Thermal Flow Problems with Radiation - using Zonal Method

• Main Authors: Chou, Yang Sang, 周陽生
• Other Authors: C. Y. Wang
• Format: Others
• Language: zh-TW
• Published: 1996
• Online Access: http://ndltd.ncl.edu.tw/handle/75807914889825108678

碩士 === 國立成功大學 === 航空太空工程學系 === 84 === The Zonal method, which is usually known as Hottel's zonal method, is one of the most widely used methods for calculating radiation heat transfer in practical engineering systems. The purpose of this dissertation is to study the effect of the multigrid method on convergence rate for heat transfer problems with radiation. For all problems in this research, we observe the performances between single grid and multigrid, and compare with the rat io of CPU times and work units. Firstly, we test the pr oblem of conduction with radiation in order to understand the performances of the multigrid method. The results indicate that the performance of convergenceis converged oscillatly when NR = 0, but it is converged smoothly when NR > 0. Finally, we applied the multigrid metho d to the steady state heat transfer problem of nature convection with radiation in a two-dimensional rectangular enclosure. It is found that the zonal me thod combined with multigrid method also has good speed-up performance in our calculations.