Parallelizing An Algorithm of Charles S Peskin for Describing Incompressible Fl
Parallelizing An Algorithm of Charles S Peskin for Describing Incompressible Fl
B D Lubachevsky
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1. The predicted values are given in parenthesis. The agreement is seen to be good. p PROBLEM SIZE Np N2 (//iter) 2 4, ] . 9867 L6 (6) (. 9872) 8, : = ^^ = = = = . 9927 52 (5) (. 9930) 16, . 9955 64 (5) (. 9957) 3 . 8629 (. 8632) . 9520 (. 9520) . 9527 (. 9528) 4 . 9644 (. 9663) . 9789 (. 9793) . 9870 (. 9872) 7 . 7156 (. 7159) . 8475 (. 8476) . 8713 (. 8702) 8 . 8888 (. 8906) . 9585 (. 9605) . 9707 (. 9707) 15 . 4756 (. 4750) . 6541 (. 6542) . 7579 (. 7576) 16 . 7691 (. 7700) . 8466 (. 8484) .... 9523 (. 9538) 31 . 3974 (. 3974) . 4383 (. 4379) . 6135 (. 6131) 32 . 3850 (. 3850) . 6866 (. 6878) . 7864 (. 7871) 48 (. 2566) (. 4584) (. 5248) 64 (. 1925) (. 3438) (. 5833) Table 6. 2 6. 4. Estimating efficiency for large size problems can not be done by using formulas (5. 3) and (6. 4) directly since #iter is not known. If one substitutes (5. 5), (5. 6) into (5. 3) then efficiency appears as a rational function E(#iter) of the form E(#iter) = A X //iter + B C X ^;iter + D where the coefficients A, B, C, D depend on the problem size parameters -33- and on P.
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