how do i use fsolve to solve a stream function ?

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steven hong
steven hong 2020-3-29
评论： steven hong 2020-3-29
I have a stream function and am asked to solve it numerically to
calculate velocity at the x and y co-ordinates and then plot the pressure
co-efficient on a rankin oval. But am unsure of how to use the fsolve function to
solve the stream function .
the code i have so far:
syms U0 x y real
psi = U0*y + 4/2/pi * atan2(y, x+1) - 4/2/pi * atan2 (y, x-1);
v=-diff(psi, x)
u=diff(psi, y)
U0=1
x=-3:0.01:3;
y=-3:0.01:3;
u=eval(u)
v=eval(v)
any help is appreciated.
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Thiago Henrique Gomes Lobato
Thiago Henrique Gomes Lobato 2020-3-29
Why you need to "solve" the stream function since it is already there? There's nothing to solve. Most likely what was meant was discretize/numeric calculate it, and your code seems fine so far.
steven hong
steven hong 2020-3-29
Ive added the full question to make it clear what im trying to achieve.
ive added the following to get the velocity magnitude after calculating u and v.
Z=sqrt(u.^2 + v.^2)
then after this i have to calculate pressure and the pressure co-efficient on the surface of the rankin oval using bernoullis equation.

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