1. Basic MATLAB

2. Matlab Post-processer Graphics Analytical solution comparisons

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

4. Autofilling and addressing Vectors > a=[1:0.2:3]' a = 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 = 1.2000 1.4000

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' ans = 1 5 2 6 3 7 4 8

7. Matrices >> b=2.2*ones(4,4) b = 2.2000 2.2000 2.2000 2.2000

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

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.)