HDG-NEFEM with Degree Adaptivity for Stokes Flows
HDG-NEFEM with Degree Adaptivity for Stokes Flows
复制标题
具有斯托克斯流度自适应能力的 HDG-NEFEM
DOI：
10.1007/s10915-018-0657-2
复制
发表时间：
2018
影响因子：
2.5
通讯作者：
A. Huerta
中科院分区：
文献类型：
--
作者：
R. Sevilla;A. Huerta
本文首次提出了一种结合可杂交间断伽辽金方法（HDG）的非线性边界条件增强有限元法（NEFEM）。所提出的技术完全消除了不确定性引起的多项式近似的曲线边界，这是常见的内的等参方法，并与其他DG方法相比，提供了显着减少的自由度。此外，通过利用HDG的能力，计算后处理的解决方案，并通过使用一个本地的先验误差估计有效的椭圆问题，一个廉价的，可靠的和可计算的误差估计。所提出的方法是用来解决斯托克斯流问题，使用自动程度的适应。特别注意的是一个准确的边界表示的重要性时，改变弯曲的元素的近似程度。比较了几种策略，说明了度自适应HDG-NEFEM的优越性和可靠性。
The NURBS-enhanced finite element method (NEFEM) combined with a hybridisable discontinuous Galerkin (HDG) approach is presented for the first time. The proposed technique completely eliminates the uncertainty induced by a polynomial approximation of curved boundaries that is common within an isoparametric approach and, compared to other DG methods, provides a significant reduction in number of degrees of freedom. In addition, by exploiting the ability of HDG to compute a postprocessed solution and by using a local a priori error estimate valid for elliptic problems, an inexpensive, reliable and computable error estimator is devised. The proposed methodology is used to solve Stokes flow problems using automatic degree adaptation. Particular attention is paid to the importance of an accurate boundary representation when changing the degree of approximation in curved elements. Several strategies are compared and the superiority and reliability of HDG-NEFEM with degree adaptation is illustrated.
模拟可压缩流的高阶稳定有限元方法性能分析
影响因子：
7.2
作者：
Sevilla R
通讯作者：
Sevilla R