کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6930078 867658 2016 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stochastic Galerkin methods for the steady-state Navier-Stokes equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Stochastic Galerkin methods for the steady-state Navier-Stokes equations
چکیده انگلیسی
We study the steady-state Navier-Stokes equations in the context of stochastic finite element discretizations. Specifically, we assume that the viscosity is a random field given in the form of a generalized polynomial chaos expansion. For the resulting stochastic problem, we formulate the model and linearization schemes using Picard and Newton iterations in the framework of the stochastic Galerkin method, and we explore properties of the resulting stochastic solutions. We also propose a preconditioner for solving the linear systems of equations arising at each step of the stochastic (Galerkin) nonlinear iteration and demonstrate its effectiveness for solving a set of benchmark problems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 316, 1 July 2016, Pages 435-452
نویسندگان
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