کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840241 1470516 2013 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A parallel two-level finite element variational multiscale method for the Navier–Stokes equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
A parallel two-level finite element variational multiscale method for the Navier–Stokes equations
چکیده انگلیسی

A combination method of two-grid discretization approach with a recent finite element variational multiscale algorithm for simulation of the incompressible Navier–Stokes equations is proposed and analyzed. The method consists of a global small-scale nonlinear Navier–Stokes problem on a coarse grid and local linearized residual problems in overlapped fine grid subdomains, where the numerical form of the Navier–Stokes equations on the coarse grid is stabilized by a stabilization term based on two local Gauss integrations at element level and defined by the difference between a consistent and an under-integrated matrix involving the gradient of velocity. By the technical tool of local a priori estimate for the finite element solution, error bounds of the discrete solution are estimated. Algorithmic parameter scalings are derived. Numerical tests are also given to verify the theoretical predictions and demonstrate the effectiveness of the method.


► The proposed parallel variational multiscale method is easy to implement.
► It can simulate convection dominated incompressible flows efficiently.
► Convergence theory is developed and algorithmic parameter scalings are derived.
► Numerical results demonstrated the efficiency and effectiveness of the method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 84, June 2013, Pages 103–116
نویسندگان
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