کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7543296 1489369 2018 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Efficient methods for solving the Stokes problem with slip boundary conditions
ترجمه فارسی عنوان
روش های کارآمد برای حل مسئله استوکس با شرایط مرزی لغزش
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
چکیده انگلیسی
The paper deals with the Stokes flow with the threshold slip boundary conditions. A finite element approximation of the problem leads to the minimization of a non-differentiable energy functional subject to two linear equality constraints: the impermeability condition on the slip part of the boundary and the incompressibility of the fluid. Eliminating the velocity components, one gets the smooth dual functional in terms of three Lagrange multipliers. The first Lagrange multiplier regularizes the problem. Its components are subject to simple bounds. The other two Lagrange multipliers treat the impermeability and the incompressibility conditions. The last Lagrange multiplier represents the pressure in the whole domain. The solution to the dual problem is computed by an active set strategy and a path-following variant of the interior-point method. Numerical experiments illustrate computational efficiency.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 145, March 2018, Pages 114-124
نویسندگان
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