one dimensional unsteady heat conduction

vijeshjoshi23 · July 10, 2009, 12:26

Dear friends,
how to decide time step to solve one dimensional unsteady heat conduction through a slab by implicit scheme ?? I am writing a code in matlab to solve this. I am facing numerical oscillations. Plz help...

RenardP · July 10, 2009, 21:22

You can test your code by marching in time to a steady solution ( for which you can find an exact analytical solution ). Since you use an implicit scheme for your time integration the time step for a steady solution should not be a concern. If your code does not converge to the steady solution you should check again the implementation.

July 10, 2009, 12:26	one dimensional unsteady heat conduction	#1
vijeshjoshi23 New Member Vijesh Joshi Join Date: Mar 2009 Posts: 10 Rep Power: 18	Dear friends, how to decide time step to solve one dimensional unsteady heat conduction through a slab by implicit scheme ?? I am writing a code in matlab to solve this. I am facing numerical oscillations. Plz help...

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July 10, 2009, 21:22		#2
RenardP Member Join Date: Mar 2009 Posts: 62 Rep Power: 18	You can test your code by marching in time to a steady solution ( for which you can find an exact analytical solution ). Since you use an implicit scheme for your time integration the time step for a steady solution should not be a concern. If your code does not converge to the steady solution you should check again the implementation.