Question

The order of accuracy of the ADI scheme in the x and y-directions are __________ and __________

(a) second-order and first-order

(b) first-order and second-order

(c) second-order and second-order

(d) second-order and third-order

This question was addressed to me in exam.

The above asked question is from CFD Techniques in division Some Simple CFD Techniques of Computational Fluid Dynamics

Answer 1

Correct answer is (c) second-order and second-order

The explanation is: The truncation errors of the ADI scheme in the x and the y-directions are O(Δx^2) and O(Δy^2). Therefore, the order of accuracy of the ADI scheme in the x and the y-directions are two and two respectively.