کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
497754 862943 2015 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
SUPG reduced order models for convection-dominated convection–diffusion–reaction equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
SUPG reduced order models for convection-dominated convection–diffusion–reaction equations
چکیده انگلیسی

This paper presents a Streamline-Upwind Petrov–Galerkin (SUPG) reduced order model (ROM) based on proper orthogonal decomposition (POD). This ROM is investigated theoretically and numerically for convection-dominated convection–diffusion–reaction problems. The SUPG finite element method was used on realistic meshes for computing the snapshots, leading to some noise in the POD data. Numerical analysis is used to propose the scaling of the stabilization parameter for the SUPG-ROM. Two approaches are used: One based on the underlying finite element discretization and the other one based on the POD truncation. The resulting SUPG-ROMs and the standard Galerkin ROM (G-ROM) are studied numerically. For many settings, the results obtained with the SUPG-ROMs are more accurate. Finally, one of the choices for the stabilization parameter is recommended.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 289, 1 June 2015, Pages 454–474
نویسندگان
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