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For the transient convection problems, the Crank-Nicolson scheme is stable when _________

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For the transient convection problems, the Crank-Nicolson scheme is stable when _________

(a) CFL^conv≤2

(b) CFL^conv≤1

(c) CFL^conv≥-2

(d) CFL^conv≥-1

This question was addressed to me in class test.

Query is from Transient Flows topic in portion Transient Flows of Computational Fluid Dynamics

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Right answer is (a) CFL^conv≤2

Explanation: The Crank-Nicolson scheme is not stable always. It is only conditionally stable. For the transient convection problems, the scheme is stable only when CFL^conv≤2.

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