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April 4, 2015, 15:34 |
FTCS Error Residuals
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#1 |
New Member
anonymous
Join Date: Apr 2015
Posts: 7
Rep Power: 11 |
Hi All,
I am trying to solve a 2D transient heat problem using a FTCS Finite Difference, Explicit Scheme. The system is rectangular domain, with constant 0 deg C on the longer (side) walls and two different, positive temperatures at the top and bottom (also constant). Now, my code converges to the desired criteria, the values seem reasonable. Overall, my average %error compared to an exact solution is around 7.2%, but in one corner the error peaks at about 70% and along one wall, it averages around 50%. Hopefully you can see the image I've attached to give a clearer picture. What makes me worries is these errors seem unaffected by timestep. Are errors like this common in using FTCS schemes with a fairly coarse grid? Can anyone think of any reason why I'm having these unusual errors? As always, any help would be greatly appreciated. |
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April 4, 2015, 17:17 |
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#2 |
Senior Member
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,768
Rep Power: 71 |
1) what about the exact solution you used?
2) in the errors plot, are you visualizing only the inner nodes? 3) the errors are computed at the steady state? |
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