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When the first-order implicit Euler scheme is unconditionally stable, the solution is ________(a) stationary for large time-steps(b) oscillatory for large time-steps(c) stationary for small time-steps(d) oscillatory for small time-stepsThe question was posed to me during an interview.Query is from Transient Flows in chapter Transient Flows of Computational Fluid Dynamics

Answer» CORRECT choice is (a) stationary for large time-steps

The explanation is: A NUMERICAL diffusion term scales with the time-step in a SIMILAR fashion to the upwind scheme for the advection term. Therefore, when this scheme is unconditionally stable, the solution using this scheme is stationary for large steps.


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