正方形区域内稳态热传导的可视化计算

Visual Computation of Steady Heat Conduction in a Square Domain

建立了稳态热传导问题的有限差分方程,编写了相应的温度场差分计算程序,然后采用计算机图形学原理编写了图形显示程序。借此求得了具有三类边界条件和内热源的正方形区域内的温度分布,并基于所得计算图形讨论了区域内的热传导特性。

The finite difference equation of steady heat conduction is established, and the corresponding computer program is compiled to solve the heat conduction problem in a square domain with three categories of boundary conditions and internal heat sources. Then the graphic display algorithms are realized based on computer graphics theory. Finally the heat conduction characteristics obtained from some examples are analyzed according to their equivalenttemperature lines.