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If there are N grid points in both the x and y-directions, how many times does the ADI scheme use the Thomas algorithm?(a) N/2(b) 2(c) N^2(d) 2NThis question was posed to me by my college professor while I was bunking the class.The origin of the question is CFD Techniques topic in portion Some Simple CFD Techniques of Computational Fluid Dynamics

Answer»

Right option is (d) 2N

The EXPLANATION is: In the first STEP of the ADI SCHEME, the Thomas algorithm is used N times to SOLVE in the x-direction. Similarly, in the y-direction, again the Thomas algorithm is used N times to get the solutions. Totally, the Thomas algorithm is used 2N times.



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