Evaluate function and gradient along edge with pde toolbox

7 次查看（过去 30 天）
nicolas bachelard
nicolas bachelard 2017-1-12
回答： nicolas bachelard 2017-1-12
Dear Matlab community,
I do solve a heat diffusion equation in a 2D problem. My geometry is composed of a circular source region inserted into a bigger square domain. When the computation is done I wish to evaluate the value of my field (u(x,y,t)), as well as its gradient, along the edge between the two previous regions. I know that we can evaluate the gradient with specific coordinates, but I wish to evaluate it at the boundary of the circular region.
Is there a direct way to do it by simply specifying the label of the edge boundary? Or should I create a trajectory which matches as close as possible?
Best

请先登录，再回答此问题。

回答（2 个）

Alan Weiss
Alan Weiss 2017-1-12
Depending on your toolbox version, there are several ways of doing this. In R2016a and later, the evaluateGradient function enables you to evaluate (interpolate) the gradient at arbitrary points, including along the boundary. In earlier toolbox versions, you can use the pdegrad function to give the gradient in each mesh triangle (the gradient is constant in each triangle because the basis functions are linear).
Alan Weiss
MATLAB mathematical toolbox documentation
nicolas bachelard
nicolas bachelard 2017-1-12
Dear Alan,
I used evauateGradient along a querypoints trajectory that I defined myself already. Do you have any idea how I could specify to evaluateGradient to operate along a specific boundary?
Best

类别

在 Help Center 和 File Exchange 中查找有关 Geometry and Mesh 的更多信息

标签

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by