Hello,
I am trying to increase the size of my plot so it can be better seen. Please
how would I do this ? All I want to do is to make it bigger.
Thanks,
“”"
FEniCS tutorial demo program: Diffusion of a Gaussian hill.
u’= Laplace(u) + f in a square domain
u = u_D on the boundary
u = u_0 at t = 0
u_D = f = 0
The initial condition u_0 is chosen as a Gaussian hill.
“”"
from dolfin import *
from mshr import *
from fenics import *
import time
T = 2.0 # final time
num_steps = 50 # number of time steps
dt = T / num_steps # time step size
#Making a cylindrical geometry 10 cm radius and 15 cm height in S.I
cylinder = Cylinder(Point(0, 0, -7.5), Point(0, 0, 7.5), 5, 5)
domain = cylinder
Making Mesh ( THe value corresponds to the mesh density)
mesh = generate_mesh(domain, 15) # generates 3D model of the cylindrical geometry in x, y, and z axes.
V = FunctionSpace(mesh, ‘P’, 1)
Plot the mesh.
#plot(mesh, title = ‘Cyliner heat explicit Mesh’)
#filename = ‘heat_explicit_mesh.png’
#plt.savefig ( filename )
#print ( ’ Graphics saved as “%s”’ % ( filename ) )
Define boundary condition
def boundary(x, on_boundary):
return on_boundary
( not sure what this really represents )
bc = DirichletBC(V, Constant(0), boundary)
Definining the intial temperature. 300 K
u_0 = Constant(‘300’)
a = 5
Expression(‘300’, degree=2, a=5)
u_n = interpolate(u_0, V)
Define variational problem
u = TrialFunction(V)
v = TestFunction(V)
f = Constant(0)
( not sure what this really represents ) turn the F function as time dependent function
F = uvdx + dt*dot(grad(u), grad(v))dx - (u_n + dtf)vdx
a, L = lhs(F), rhs(F)
Create VTK file for saving solution
vtkfile = File(‘heat_gaussian/solution.pvd’)
Time-stepping
u = Function(V)
t = 0
for n in range(num_steps):
# Update current time
t += dt
# Compute solution
solve(a == L, u, bc)
# Save to file and plot solution
vtkfile << (u, t)
plot(u)
# Update previous solution
u_n.assign(u)
import matplotlib.pyplot as plt
plt.show()