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Feb 8, 2017 at 20:52 comment added hpc The analytical solution in your second figure appears to be the steady-state solution. To get to it, you need to run the code long enough so that the solution to the unsteady flow problem you are solving approaches the steady-state solution. You just need to take more time-steps while making sure that time increment ($\Delta t$) satisfies the stability criterion. In the code you provided above, there is a factor of 1/2 missing in the calculation of dt. Is this a typo?
Feb 8, 2017 at 19:17 vote accept N.K
Feb 8, 2017 at 18:58 comment added N.K just to be clear, The only way for my graph to look more "linear" is to increase the time step, but since I am employing an explicit scheme I will never be able to approach that?
Feb 8, 2017 at 18:53 vote accept N.K
Feb 8, 2017 at 19:17
Feb 8, 2017 at 18:53 vote accept N.K
Feb 8, 2017 at 18:53
Feb 8, 2017 at 18:48 history answered BlaB CC BY-SA 3.0