Question

Which of these statements is correct about the first step of the ADI scheme?

(a) x-derivative is treated implicitly

(b) y-derivative is treated implicitly

(c) Time derivative is treated implicitly

(d) Thomas algorithm is not used

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I want to ask this question from CFD Techniques in division Some Simple CFD Techniques of Computational Fluid Dynamics

Answer 1

The correct choice is (a) x-derivative is treated implicitly

The explanation is: In the first step with the time interval \(\frac{\Delta t}{2}\), the spatial derivatives are replaced using the central difference scheme. Only the x-derivative is treated implicitly. Then the resulting equations are solved using the TDMA method.