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I want to make the figure hanger look like the attached picture. The code is shown below.

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T K
T K 2021-8-25
评论： Rena Berman 2022-8-23
clc
L=3;% L=y fare away the the plate (boundary layer)
T=2;%Final time
maxk=500;%Number of time steps
dt=T/maxk;
n=50;%Number of space steps
dy=L/n;
diff=0.25;
b=diff*dt/(dy*dy);
%b=0.1;
%initial condition of velocity
for i=1:n+1
y(i)=(i-1)*dy;
u(1,1)=0;
end
%Boundary condition
for k=1:maxk+1
u(1,k)=1;
u(n+1,k)=0;
end
for k=1:maxk %time loop
for i=2:n %space loop
u(i,k+1) =u(i,k)+b*(u(i-1,k)+u(i+1,k)-2.*u(i,k));
end
end
%Ploting
figure(1)
%plot(y,u(:,1),'-',y,u(:,100),'-',y,u(:,300),'-',y,u(:,600),'-')
plot(y,u(:,50),'-',y,u(:,100),'-',y,u(:,200),'-',y,u(:,250),'-')
%legend('dt=50','dt=100','dt=200','dt=250')
title('Velocity in the boundary layer')
xlabel('y')
ylabel('velocity')

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回答（1 个）

Walter Roberson
Walter Roberson 2021-8-26
Instead of using plot() use surf(), with 'edgecolor', 'none', and with 'alphadata' set to a constant repeated the same size as u, and with AlphaDataMapping 'none' and with 'FaceAlpha', 'flat'
https://www.mathworks.com/help/matlab/creating_plots/add-transparency-to-graphics-objects.html
  3 个评论
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Walter Roberson
Walter Roberson 2021-8-26
surf(x, y, u, 'edgecolor', 'none', 'AlphaDataMapping', 'none', 'FaceAlpha', 'flat', 'Alpha', 0.8 * ones(size(u)));
hold on
This would be in a loop in which you changed whatever it is you need to change, creating a new u matrix each time.
T K
T K 2021-8-26
Please doctor walter Roberson, when writing the attached code, an error appeared:
Undefined function or variable 'x'.
Error in Untitled (line 24)
surf(x(i), y(i), u(i), 'edgecolor', 'none', 'AlphaDataMapping', 'none', 'FaceAlpha', 'flat', 'Alpha', 0.8 * ones(size(u(i))));
code attached
clc
L=3;
T=2;
maxk=500;
dt=T/maxk;
n=50;%Number of space steps
dy=L/n;
diff=0.25;
b=diff*dt/(dy*dy);
%initial condition
for i=1:n+1
y(i)=(i-1)*dy;
u(1,1)=0;
end
%Boundary condition
for k=1:maxk+1
u(1,k)=1;
u(n+1,k)=0;
end
for k=1:maxk %time loop
for i=2:n %space loop
u(i,k+1) =u(i,k)+b*(u(i-1,k)+u(i+1,k)-2.*u(i,k));
surf(x(i), y(i), u(i), 'edgecolor', 'none', 'AlphaDataMapping', 'none', 'FaceAlpha', 'flat', 'Alpha', 0.8 * ones(size(u(i))));
hold on
end
end
%Ploting
figure(1)
plot(y,u(:,50),'-',y,u(:,100),'-',y,u(:,200),'-',y,u(:,250),'-')
legend('dt=50','dt=100','dt=200','dt=250')
title('Velocity in the boundary layer')
xlabel('y')
ylabel('velocity')

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