论文标题
光谱元素方法的订购建模减少：Nektar ++的当前发展和进一步的观点
Reduced order modeling for spectral element methods: current developments in Nektar++ and further perspectives
论文作者
论文摘要
在本文中，我们提出了为频谱元素方法（SEM）开发降低订单建模（ROM）功能的最新努力。也就是说，我们详细详细介绍了在光谱/HP元素库Nektar ++中为连续的Galerkin和不连续的Galerkin方法的ROM实现。采用的ROM方法是基于适当的正交分解（POD）的侵入性方法。他们承认了离线在线分解，因此可以对参数研究和多种检测进行快速评估。利用了仿射参数依赖性，以便可以将降低的订单模型与大规模离散化大小无关。在SEM背景下的实现可以在开源模型减少软件Ithaca-SEM中找到。
In this paper, we present recent efforts to develop reduced order modeling (ROM) capabilities for spectral element methods (SEM). Namely, we detail the implementation of ROM for both continuous Galerkin and discontinuous Galerkin methods in the spectral/hp element library Nektar++. The ROM approaches adopted are intrusive methods based on the proper orthogonal decomposition (POD). They admit an offline-online decomposition, such that fast evaluations for parameter studies and many-queries are possible. An affine parameter dependency is exploited such that the reduced order model can be evaluated independent of the large-scale discretization size. The implementation in the context of SEM can be found in the open-source model reduction software ITHACA-SEM.
