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The central differencing scheme becomes inconsistent when the Peclet number _____________(a) is higher than 2(b) is less than 2(c) is higher than 5(d) is less than 5This question was posed to me during an interview.My doubt stems from Convection-Diffusion Problems in section Convection-Diffusion Problems of Computational Fluid Dynamics

Answer»

Right ANSWER is (a) is higher than 2

Easiest explanation: When the Peclet number goes beyond 2, the central DIFFERENCE approximation fails. The DISCRETIZATION process BECOMES inconsistent here. In this case, an increase in the neighbouring value will lead to a decrease in the value at the central node.



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