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Geometry function - domain sketch

3 次查看（过去 30 天）
Sarinthree Udchachone
评论： darova 2020-3-22
Hi, I am trying to sketch the domain for PDE solver. It is similar to the example function CIRCLEFUNCTION.m.
My domain has four edges. Left and right edges are parallel to the y-axis. Top and bottom edges are curves:
I have following so far:
________________________
function [x,y]= dom(bs,s)
if nargin = = 0
x=4;
end
if nargin = = 1
A=[ 0, 1, 1, 0 ;
1, 1, 0 , 0 ;
1, 1, 1, 1 ;
0, 0, 0, 0]
I don't know where to go from there. I read examples online, but they are complicated.
You could choose curves connecting top vertices and bottom vertices to be simple quadratic curves, vertices are (0,0), (1,0), (1,1), (0,1).
Thank you!
Sandy

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darova
darova 2020-3-21
Try pdepoly
x = 0:0.1:1;
y = x.^2-x+1;
x = [0 x 1];
y = [0 y 0];
pdepoly(x,y)
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darova
darova 2020-3-22
What about this?
x= 0:0.1:1;
y= x.^2-x+1;
x=[0 x 1];
y=[0 y 0];
pdepoly(x,y);
pdetool('initmesh')
% pdetool('refine')
darova
darova 2020-3-22
Maybe it would be helpful
x= 0:0.1:1;
y= x.^2-x+1;
x=[0 x 1];
y=[0 y 0];
gd = [2;length(x);x(:);y(:)]; % geometry description matrix
dl = decsg(gd); % decompose matrix
[p,e,t] = initmesh(dl); % create mesh
subplot(121)
pdemesh(p,e,t)
axis equal
subplot(122)
[p1,e1,t1] = refinemesh(dl,p,e,t);
pdemesh(p1,e1,t1)
axis equal

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