Question

What is the first term of the truncation error of the QUICK scheme?

(a) \(\frac{1}{16} (\Delta x)^2 \phi_C”’\)

(b) \(\frac{1}{16} (\Delta x)^3 \phi_C”’\)

(c) \(\frac{1}{16} (\Delta x)^3 \phi_C^{iv}\)

(d) \(\frac{1}{16} (\Delta x)^2 \phi_C^{iv}\)

This question was addressed to me in a national level competition.

I'd like to ask this question from Convection-Diffusion Problems topic in portion Convection-Diffusion Problems of Computational Fluid Dynamics

Answer 1

Correct choice is (c) \(\frac{1}{16} (\Delta x)^3 \phi_C^{iv}\)

The best I can explain: The order of accuracy is 3. Therefore, (Δ x)^3 should be there in the first term of the truncation error. The truncation error is obtained using the Taylor series. Therefore, this (Δ x)^3  comes along with ΦC^iv.