恒温边界矩形区域内热传导的可视化计算

Visual computation of heat conduction in a rectangular field with known boundary temperature

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,借此可求得不同恒温边界条件下带内热源的矩形区域内的温度分布,然后采用计算机图形学原理编写了图形显示程序,并将所得离散的温度分布数据转化为相应的图形。最后,基于所得计算图形讨论了相应区域内的热传导特性。

The finite difference equation of steady heat conduction is established, and the related computer program is compiled to solve the heat conduction problem in a rectangular field with different known boundary temperatures and internal heat sources. The graphic display program is formulated in terms of computer graphic theory, which transfers the discrete temperature data to corresponding graphics. The heat conduction characteristics of several domains are ascertained by analyzing the distribution of their equivalent-temperature lines.