2-D Unsteady State Heat Conductivity

[dinaharchery]

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 , I am a computer scientist.

Thanks for any help.

 

[dinaharchery]

Any idea at all? A simple 2-D unsteady state algorithm?

Thanks again

 

[minger]

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.

 

[dinaharchery]

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.

 

[dinaharchery]

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?

Thanks.