An analysis of the performance of a high-order stabilised finite element method for simulating compressible flows

An analysis of the performance of a high-order stabilised finite element method for simulating compressible flows
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模拟可压缩流的高阶稳定有限元方法性能分析

DOI:
10.1016/j.cma.2012.09.001
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发表时间:
2013
影响因子:
7.2
通讯作者:
Sevilla R
Sevilla R
中科院分区:
工程技术1区
文献类型:
--
作者:
Sevilla R

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稳定化有限元方法现在已经很好地建立起来,并用于工业和商业流动求解器。然而,这些方法传统上被限制在空间中的线性近似,它们很少在高阶上下文中实现。本文研究了一种高阶方法对二维亚跨声速无粘和层流粘性流动的数值模拟性能。所产生的结果清楚地表明,高阶方法所提供的好处,在减少的自由度,更重要的是,所需的CPU时间,相比低阶有限元或有限体积法。
Stabilised finite element methods are now well established and are used in both industrial and commercial flow solvers. However, these methods have traditionally been restricted to linear approximations in space and they are rarely implemented within a high-order context. In the present work, the numerical performance of a higher-order approach is investigated for the simulation of some inviscid and laminar viscous two dimensional subsonic and transonic flows. The results produced clearly demonstrate the benefits that the higher-order approach has to offer, in terms of a reduction in both the degrees of freedom and, more importantly, the CPU time required, when compared with a low-order finite element or finite volume method.
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