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The central difference approximation goes wrong when _____________(a) Peclet number is negative(b) Peclet number is positive(c) Peclet number is low(d) Peclet number is highThis question was addressed to me in unit test.My question comes from Convection-Diffusion Problems in chapter Convection-Diffusion Problems of Computational Fluid Dynamics

Answer»

Right answer is (d) Peclet number is high

For explanation: When the Peclet number is low in the positive or NEGATIVE direction, the central differencing scheme is valid. If the Peclet number goes beyond a CERTAIN value both in the positive and negative direction, this APPROXIMATION GIVES unphysical answers.



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