Heat Equation Code for Cylinder Objects

Yenyo_Sedzro · June 29, 2020, 5:17pm

Can anyone please help me find the fenics heat equation for a cylindrical shape ?
I found the built in code for a rectangle but haven’t found one for the built in cylindrical shape.

github.com

hplgit/fenics-tutorial/blob/master/src/vol1/python/heat_gaussian.py

"""
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 __future__ import print_function
from fenics import *
import time

T = 2.0            # final time
num_steps = 50     # number of time steps
dt = T / num_steps # time step size

This file has been truncated. show original

Thanks,

dokken · June 29, 2020, 5:26pm

Meshes can be made with mshr, see for instance How to make a 3D Cylinder Mesh?
You can Also make meshes with Gmsh, and there are many examples on the forum for how to create and load such geometries, see for instance Importing 3D .msh file into Fenics as mesh

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Heat Equation Code for Cylinder Objects

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