Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

2-D Unsteady State Heat Conductivity

  1. Jun 11, 2010 #1
    Hello all,

    I am not an engineer but am trying to learn finite element analysis for solid materials - in particular heat conductivity for time dependent problems in 2-D for a single material. I am interested in the explicit Euler time marching, thus I believe I need a lumped capacity matrix?

    I have finished a C++ program using 2-D Steady state heat conductivity, it is very simple (as I said I am not an engineer). Can anyone assist me in translating a 2-D code for steady state heat conductivity to a unsteady state (time dependent) version? Small words please :smile: , I am a computer scientist.

    Thanks for any help.
  2. jcsd
  3. Jun 15, 2010 #2
    Any idea at all? A simple 2-D unsteady state algorithm?

    Thanks again
  4. Jun 16, 2010 #3


    User Avatar
    Science Advisor

    How exactly does your steady-state code compute the solution? Many solvers like this use some sort of pseudo-time, whether you want to call it iterations, or time-steps or whatever.
  5. Jun 18, 2010 #4
    The steady-state code uses a preconditioned conjugate gradient solver, so the solver itself is iterative. I would like to use the explicit euler time marching algorithm but I currently do not have a lumped capacity matrix.
  6. Jun 22, 2010 #5
    I have been doing some research into the unsteady state heat for finite element analysis and have run across Gaussian quadrature. Can anyone explain how this relates to a time-marching algorithm for the FE solution to a simple 2-D (x and y) heat conductivity problem:confused:?

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook