کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
498747 863011 2011 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Equal-order finite elements with local projection stabilization for the Darcy–Brinkman equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Equal-order finite elements with local projection stabilization for the Darcy–Brinkman equations
چکیده انگلیسی

For the Darcy–Brinkman equations, which model porous media flow, we present an equal-order H1-conforming finite element method for approximating velocity and pressure based on a local projection stabilization technique. The method is stable and accurate uniformly with respect to the coefficients of the viscosity and the zeroth order term in the momentum equation. We prove a priori error estimates in a mesh-dependent norm as well as in the L2-norm for velocity and pressure. In particular, we obtain optimal order of convergence in L2 for the pressure in the Darcy case with vanishing viscosity and for the velocity in the general case with a positive viscosity coefficient. Numerical results for different values of the coefficients in the Darcy–Brinkman model are presented which confirm the theoretical results and indicate nearly optimal order also in cases which are not covered by the theory.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 200, Issues 9–12, 1 February 2011, Pages 1126–1136
نویسندگان
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