How to increase the size of "s" using pdegeom?

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Steve
Steve am 30 Okt. 2014
Kommentiert: Steve am 3 Nov. 2014
I have written a pdegeom file which produce a sinusoidal edge. The standard amount of grid points (size(s)) is set to 50. This is not enough to reproduce approx. 50 periods of the sinus correctly.
The pdegeom file (you can check it with pdegplot('Geom') to see that the sinus is not correctly plotted):
function [ x,y ] = Geom(bs,s)
nbs = 10;
if nargin==0
x=nbs;
return
end
dl=[ 0 1 2 3 4 5 6 7 8 9;
1 2 3 4 5 6 7 8 9 10;
0 0 0 0 0 0 0 0 1 1;
1 1 1 1 2 2 2 1 2 2];
if nargin==1
x=dl(:,bs);
return
end
x=zeros(size(s));
y=zeros(size(s));
[m,n]=size(bs);
if m==1 && n==1,
bs=bs*ones(size(s)); % expand bs
elseif m~=size(s,1) || n~=size(s,2),
error(message('pde:cardg:SizeBs'));
end
nn=size(bs,1)*size(bs,2);
if nn==0
x=[];
y=[];
return
end
for ibs=1:nn
switch bs(ibs)
case 1 % Boundary-Tip down right
xx=50 - (50-10)*s(ibs);
yy=-50 +0*s(ibs);
case 2 % Tip side right
xx=10 - (10-5)*(s(ibs)-1);
yy=-50*(1-(s(ibs)-1));
case 3 % Tip apex half
xx=5*cos(pi/2*(s(ibs)-2));
yy=5*sin(pi/2*(s(ibs)-2));
case 4 % Tip to resist
xx=0*(s(ibs)-3);
yy=5 + ((20-12)-5)*(s(ibs)-3);
case 5 % resist to sample
xx=0*(s(ibs)-4);
yy=(20-12) + (12)*(s(ibs)-4);
case 6 % Sample
xx=50*(s(ibs)-5);
yy=20 + 0*(s(ibs)-5);
case 7 % Boundary right - Resist
xx=50 + 0*(s(ibs)-6);
yy=20 - (12)*(s(ibs)-6);
case 8 % Boundary right
xx=50 + 0*(s(ibs)-7);
yy=(20-12) - ((20-12)-(-50))*(s(ibs)-7);
case 9 % Layer right - Tip side
xx=30*(s(ibs)-8);
yy=(20-12)+3*sin(2*pi/1*xx);
case 10
xx=30-(30-50)*(s(ibs)-9);
yy=20-12+0*(s(ibs)-9);
end
x(ibs)=xx;
y(ibs)=yy;
end
end

Akzeptierte Antwort

Bill Greene
Bill Greene am 30 Okt. 2014
If your concern is about producing a nice looking plot from pdegplot, you will need to edit that function by changing the line:
n=50;
at around line 46 to make n something larger.
If your concern is about getting a sufficiently fine mesh near the sinusoid edge, you don't need to do anything but specify a sufficiently small value of hmax in the call to initmesh. initmesh will call your Geom function as often as needed to produce a mesh with an accurate boundary.
  1 Kommentar
Steve
Steve am 3 Nov. 2014
Thank you very much.
I tried to reduce hmax before and it seems to refine only the geometry produced by pdegplot. However now it works fine!

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