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

What is the first term of the truncation error of the QUICK scheme?(a)

1.	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» 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)^3comes along with ΦC^iv.

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