抛物面梯度可视化研究

The Visualization Research of Parabolic Gradient

在对工程数量场优化问题的研究过程中,经常要分析数量场中各点的温度和压力等变化趋势,它可以归结为求解各点处的梯度方向。而数量场的数学模型通常都可以看成是曲面的表达式。该文用图解的方法对抛物面这类曲面的梯度进行了研究,建立了相应的数学表达式,最后利用Visual Lisp编程在AutoCAD中实现抛物面梯度的图形显示。

The changing trends of temperature and pressure can be considered as the process of gradient solution during the research of optimization of scalar field.Generally scalar field mathematical model can be considered as curved surface equation.In this paper the research of parabolic gradient is done by the graphic method.Mathematical expression is constructed,then the parabolic gradient is shown by Visual Lisp in AutoCAD.