Michael Thiel
Michael Thiel

Reputation: 31

What type of plot would create this in python

I am trying to create a plot that looks like the picture.

Wave Particle Motions under Wave

This is not homework, i'm trying to do this for experience.

I don't need the whole code.. i need to know what type of plot to use because i cant figure it out.

I have tried a few different ways and got errors every time and i searched matplotlib for info about how to plot it, but no luck.

I have the following parameters:

Plot the water particle motions under Trough (Lowest point on wave elevation profile) at water depths from 0 to 100 meters in increments of 10 m below mean water line.

A = 1  # Wave amplitude in meters
T = 10  # Time Period in secs
n_w = 1 # Number of waves
wavelength = 156  # Wavelength in meters


k = (2 * np.pi) / wavelength
w = (2 * np.pi) / T

The wave profile varying over space is πœ‚(π‘₯) = 𝐴cos(π‘˜x) at time = 0. Plot this wave profile first for one wave.

πœ‚(π‘₯) = 𝐴*cos(π‘˜x) #at time = 0

Next compute vertical and horizontal particle displacements for different water depths of 0 to 100m

XDisp = -A * e**(k*z) * np.sin(-w*t)
YDisp = -A * e**(k*z) * np.cos(-w*t) # when x=0

You could use any x. Motion magnitudes don’t change. Where z is depth below mean water level. All other parameters are as defined in earlier problems above.

Do not forget to shift the horizontally particle displacement to under trough and β€˜z’ below water line for vertical particle displacement.

Upvotes: 2

Views: 160

Answers (1)

willwrighteng
willwrighteng

Reputation: 3002

I'm assuming you are just asking for some python code and that I can ignore the physical chemistry context (I don't wish to dig up that knowledge).

This should get you started:

import matplotlib.pyplot as plt
import numpy as np

# variable size scatter plot
N = 4
area = (30 * np.random.rand(N))**2
plt.scatter([3.5]*4,[1, 2, 3, 4], s=area)

plt.plot([1, 2, 3, 4], [1, 2, 3, 4], 'r')
plt.plot([1, 2, 3, 4], [1, 2, 3, 4], 'ro')

plt.show()

scatter plot

References

Upvotes: 2

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