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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≥-1This question was addressed to me in class test.Query is from Transient Flows topic in portion Transient Flows of Computational Fluid Dynamics

Answer» 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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