Question: this python program give me three plots, can I get a modified version where it prints a table of the data points for the plots?
this python program give me three plots, can I get a modified version where it prints a table of the data points for the plots?
import numpy as np
import matplotlib.pyplot as plt
# Constants
gamma # Specific heat ratio for air
CFL # CourantFriedrichsLewy
# Function to initialize grid and initial conditions
def initializegridnx xmax, rhol ul pl rhor ur pr:
dx xmax nx
x nplinspace xmax, nx
rho npzerosnx
u npzerosnx
p npzerosnx
# Initial conditions
rhox xmax rhol
rhox xmax rhor
ux xmax ul
ux xmax ur
px xmax pl
px xmax pr
return x rho, u p dx
# Function to compute time step based on CFL condition
def computedtdx u:
dt CFL dx npmaxnpabsu npsqrtgamma p rho
return dt
# Function to update solution using LaxFriedrichs scheme
def laxfriedrichssteprho u p dt dx:
rhon npcopyrho
un npcopyu
pn npcopyp
# Fluxes
Frho rho u
Fu rho u p
Fp gamma pgamma u rho u
# Update solution
rhon:rho: rho: dt dxFrho: Frho:
un:u: u: dt dxFu: Fu:
pn:p: p: dt dxFp: Fp:
return rhon un pn
# Function to plot results
def plotresultsx rho, u p title:
pltfigurefigsize
pltsubplot
pltplotx rho, r label'Density Profile' #r'stand for the wave color red
pltxlabelPosition
pltylabelDensity
plttitletitle
pltlegend
pltsubplot
pltplotx ub label'Velocity Profile' #b'stand for the wave color blue
pltxlabelPosition
pltylabelVelocity
pltlegend
pltsubplot
pltplotx pg label'Pressure Profile' #g'stand for the wave color green
pltxlabelPosition
pltylabelPressure
pltlegend
plttightlayout
pltshow
# Parameters of the plots
nx # Number of grid points
xmax # Maximum x value
rhol # Left density
ul # Left velocity
pl # Left pressure
rhor # Right density
ur # Right velocity
pr # Right pressure
T # Total simulation time
# Initialize grid and initial conditions
x rho, u p dx initializegridnx xmax, rhol ul pl rhor ur pr
# Main loop
t
while t T:
dt computedtdx u
rho, u p laxfriedrichssteprho u p dt dx
t dt
# Plot results
plotresultsx rho, u p 'Shock Wave Simulation'
Output:
Shock Wave Simulation
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