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Difference between Time dependent and Time discrete

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Hi,

I am working on a conjugate heat transfer problem. By t=20s, the system reaches steady state. Then I would like to see the system response after t=20s, using step function to switch off a source after t=20s.

The time step, I use is 0.5s.

However, whenever I use time dependent solver, I could see the step function switches off somewhere around 19.0 s itself, which actually should not be the case (This is noticed this through the change in solution after 19s).

But, this issue is not there in the case of time-discrete solver, where the source is perfectly switched off only after 20s. (solution remains same upto 20s)

I would like to know what precisely is the difference between time-dependent and time-discrete models?

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