Question

In which of these ranges is the central differencing scheme used?

(a) -2≤Pe≤2

(b) -1≤Pe≤1

(c) -0.5≤Pe≤0.5

(d) -5≤Pe≤5

This question was addressed to me by my college professor while I was bunking the class.

This interesting question is from Convection-Diffusion Problems in chapter Convection-Diffusion Problems of Computational Fluid Dynamics

Answer 1

The correct answer is (a) -2≤Pe≤2

For explanation: The central differencing scheme is valid until the Peclet number reaches a value of two. So, in the hybrid difference scheme, in the range -2≤Pe≤2, the central differencing scheme is used.