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How to graph my calculations
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I am having so much trouble figuring out what is wrong with my code. The graph should look like this, but it is not working out. I believe I calculated everything correctly. density and ptemp are previous functions created. Please help!
Write a program, stability.m, to compute and plot N (buoyancy frequency) as a function of depth or pressure using the above equation (N = [(-g/RHO)(dRHO_theta/dz)]^1/2. The derivative must be computed numerically; this may take you some time to figure out if you have not done it before, so be patient. Computing derivatives numerically is a key skill in many sciences. Also compute N by substituting r and rt for rq. Do not plot any imaginary values of N you may find (replace with NaN if needed). Report the buoyancy period at depths of approximately 60, 500, and 1000 m, which will give you an idea of the period of internal waves propagating around the ocean at these depths
% using hydrostatic equation to compute z (dp/dz = -RHO*g)
clear
[p t s x1 x2 x3 x4 x5] = textread('hotctddata.txt','%f %f %f %f %f %f %f %f',...
'headerlines',6);
n = size(t,1);
for i = 1:n
RHO(i) = density(t(i),s(i),p(i));
RHOp(i) = density(t(1),s(1),p(i));
RHOt(i) = density(t(i),s(1),p(1));
RHOs(i) = density(t(1),s(i),p(1));
end
z = zeros(n,1);
for i = 2:n
g = -9.8;
dp = (p(i)-p(i-1))*10000;
RHOavg(i) = (RHO(i)+RHO(i-1))*0.5;
dz = dp./(RHOavg(i)*g);
z(i) = dz+z(i-1);
end
% solving for N = sqrt((-g/RHO)*(dptheta/dz))
for i=1:n
theta(i) = ptemp(t(i),s(i),p(i));
end
for i = 1:n
RHO(i) = density(t(i),s(i),p(i));
RHOtheta(i) = density(theta(i),s(i),p(1));
RHOt(i) = density(t(i),s(i),p(1));
end
for i = 2:n
g = -9.8;
RHOavg(i) = (RHO(i)+RHO(i-1))*0.5;
dptheta = (RHOtheta(i) - RHOtheta(i-1));
dz = -dp./(RHOavg(i)*g);
Ntheta = real(sqrt((g./RHOavg(i)).*(dptheta./dz)));
end
% solving for N = sqrt((-g/RHO)*(dRHO/dz))
for i = 2:n
g = -9.8;
RHOavg(i) = (RHO(i)+RHO(i-1))*0.5;
dRHO = (RHO(i) - RHO(i-1));
dz = -dp./(RHOavg(i)*g);
NRHO = real(sqrt((g./RHOavg(i)).*(dRHO./dz)));
end
% solving for N = sqrt((-g/RHO)*(dRHOt/dz))
for i = 2:n
g = -9.8;
RHOavg(i) = (RHO(i)+RHO(i-1))*0.5;
dRHOt = (RHOt(i) - RHOt(i-1));
dz = -dp./(RHOavg(i)*g);
NRHOt = real(sqrt((g./RHOavg(i)).*(dRHOt./dz)));
end
% graph of N vs Depth
figure(7);
plot(Ntheta,z);
xlabel('Buoyancy Oscillations (1/s)');
ylabel('Depth (m)');
hold on
plot(NRHO,z);
hold on
plot(NRHOt,z);
legend({'RHO','RHOtheta','RHOt'},'Location','northeast');
set(gca,'YDir','reverse')
2 个评论
Steven Lord
2021-2-8
What does "it is not working out" mean in this context?
回答(1 个)
Star Strider
2021-2-8
Subscript the variables in the loops:
Ntheta(i) = real(sqrt((g./RHOavg(i)).*(dptheta./dz)));
and similarly for the others in the plot calls.
I cannot run your code, so I am posting this as UNTESTED CODE. It should work.
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