کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4951104 | 1364326 | 2016 | 40 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A quantitative performance study for Stokes solvers at the extreme scale
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نظریه محاسباتی و ریاضیات
چکیده انگلیسی
This article presents a systematic quantitative performance study for large finite element computations on extreme scale computing systems. Three parallel iterative solvers for the Stokes system, discretized by low order tetrahedral elements, are compared with respect to their numerical efficiency and their scalability running on up to 786Â 432 parallel threads. An all-at-once multigrid method for the saddle point system using an Uzawa-type smoother provides the best overall performance with respect to memory consumption and time-to-solution. The largest system solved on a Blue Gene/Q system has more than ten trillion (1.1Â ÃÂ 1013) unknowns and requires about 13Â min compute time. Despite the matrix free and highly optimized implementation, the memory requirement for the solution vector and the auxiliary vectors is about 200Â TByte. A generalization of Brandt's notion of “textbook multigrid efficiency” is employed to study the algorithmic performance of the all-at-once multigrid solver at the extreme scale. The flexibility of the method is demonstrated for simulating incompressible fluid flow in a pipe filled with spherical obstacles.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Science - Volume 17, Part 3, November 2016, Pages 509-521
Journal: Journal of Computational Science - Volume 17, Part 3, November 2016, Pages 509-521
نویسندگان
Björn Gmeiner, Markus Huber, Lorenz John, Ulrich Rüde, Barbara Wohlmuth,