کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
514058 866691 2011 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A new parallel finite element algorithm for the stationary Navier–Stokes equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
A new parallel finite element algorithm for the stationary Navier–Stokes equations
چکیده انگلیسی

Based on two-grid discretization, a new parallel finite element algorithm for the stationary Navier–Stokes equations is proposed and analyzed. This algorithm first solves the Navier–Stokes equations using a coarse grid, and then corrects the resultant residual on a fine grid by solving local Navier–Stokes equations in a parallel manner with homogeneous boundary conditions. Existing sequential Navier–Stokes solver is available for each problem on sub-domains, so that the proposed parallel algorithm can be implemented on the top of existing sequential software. The error bounds of the approximate solution are estimated. Moreover, the efficiency of the algorithm is also demonstrated by numerical simulations of the lid-driven cavity flow, the backward-facing step flow, and the flow past a circular cylinder.


► This paper proposed a new parallel finite algorithm for the Navier–Stokes equations.
► This new algorithm is easy to implement.
► It can reuse existing sequential software.
► This algorithm has low communication complexity.
► Numerical experiments demonstrated the high efficiency of the algorithm.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Elements in Analysis and Design - Volume 47, Issue 11, November 2011, Pages 1262–1279
نویسندگان
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