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Which of these properties limit the time-step size in the explicit schemes?

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in Computational Fluid Dynamics by (118k points)
Which of these properties limit the time-step size in the explicit schemes?

(a) Convergence

(b) Stability

(c) Consistency

(d) Error

I got this question during an internship interview.

Asked question is from Explicit and Implicit Finite Difference Methods topic in chapter Finite Difference Methods of Computational Fluid Dynamics

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Right answer is (b) Stability

The best I can explain: The time step-size of an explicit scheme cannot be big. They are limited by the stability criterion. If the time-step size is bigger than the limit given by this criterion, the results will go extremely unstable.

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