1. Basic MATLAB

2. Matlab
Post-processer
Graphics
Analytical solution comparisons

3. Vectors
>> a=[ ]
a =
>> a'
ans = 1 2 3 4

4. Autofilling and addressing Vectors
1.0000
1.2000
1.4000
1.6000
1.8000
2.0000
2.2000
2.4000
2.6000
2.8000
3.0000
>> a(2:3)
ans =

5. xy Plots >> x=[1 3 6 8 10]; >> y=[0 2 1 3 1];
>> plot(x,y)

6. Matrices >> b=[1 2 3 4;5 6 7 8] b = 1 2 3 4 5 6 7 8 >> b'
>> b'
ans =

7. Matrices
>> b=2.2*ones(4,4)
b =

8. Reshape >> a=[1:9] a = 1 2 3 4 5 6 7 8 9
>> bsquare=reshape(a,3,3)
bsquare =
>>

9. Load and if a = load(‘filename’); (semicolon suppresses echo) if(1) …
else
end

10. For
for i = 1:10 …
end

11. Grad
[dhdx,dhdy]=gradient(h);

12. BMP Output bsq=rand(100,100); %bmp1 output e(:,:,1)=1-bsq; %r
e(:,:,2)=1-bsq; %g
e(:,:,3)=ones(100,100); %b
imwrite(e, 'junk.bmp','bmp');
image(imread('junk.bmp'))
axis('equal')

13. Contours
h=[…];
contour(h)
[C,H]=contour(h)
Clabel(C,H)

14. Contours (load data, prepare matrix)
rho=load('rho_frame0012_subs00.dat')
p_vector=rho/3
rows=100
columns=20
for j=1:columns j
for i=1:rows
p(i,j)=p_vector(j+(i-1)*columns);
%Get rid of '0 pressure' solids that dominate pressure field
if p(i,j)==0
p(i,j)=NaN;
end

15. Contours
[C,H]=contour(p)
clabel(C,H)
axis equal

16. Quiver (vector plots) >> scale=10; >> d=rand(100,4);
>> quiver(d(:,1),d(:,2),d(:,3),d(:,4),scale)

17. Quiver (and Quiver3) uv_vector=load('u_frame0012_subs00.dat') rows=100
columns=20
for j=1:columns j
for i=1:rows
u(i,j)=uv_vector(j+(i-1)*20,1);
v(i,j)=uv_vector(j+(i-1)*20,2);
end
hold on
quiver(u,v)

18. Streamline
[Stream]= stream2(u,v,5,100)
streamline(Stream)

19. Streamlines [Stream]= stream2(u,v,[1:20],100*ones(20,1));
streamline(Stream)
(This is for streamlines starting at y = 100 from x = 1 to 20 along the x axis. Different geometries will require different starting points.)