کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10139558 | 1645968 | 2018 | 30 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An optimization-based framework for anisotropic hp-adaptation of high-order discretizations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
This paper presents a novel framework for hp-adaptation of high-order discontinuous finite element discretizations for compressible flow simulation. Using the sensitivities of an adjoint-based error estimate, our method seeks element size, shape, and polynomial degree distributions which minimize an adjoint-based error estimate for a specified number of degrees of freedom. This approach results in an optimized hp-mesh tailored to yield the most accurate prediction of an output quantity of interest, such as aerodynamic coefficients, at a given computational cost. The proposed approach features a reduced dependence on user-defined parameters compared to established fixed-fraction adjoint-based adaptive methods. It provides a unifying framework where adaptation decisions such as isotropic/anisotropic, h-/p-refinement/coarsening do not only rely on local arbitrary measures of solution anisotropy and smoothness, but rather where a globally optimal distribution of degrees of freedom is sought to minimize the error in the chosen quantity of interest.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 375, 15 December 2018, Pages 589-618
Journal: Journal of Computational Physics - Volume 375, 15 December 2018, Pages 589-618
نویسندگان
N. Ringue, S. Nadarajah,