A Spectral Element Reduced Basis Method in Parametric CFD
A Spectral Element Reduced Basis Method in Parametric CFD
复制标题
参数化CFD中谱元简化基法
DOI：
10.1007/978-3-319-96415-7_64
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
G. Rozza
中科院分区：
文献类型：
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作者：
M. Hess;G. Rozza
考虑雷诺数变化的流道中的Navier-Stokes方程。该模型采用高阶谱元ANSATZ函数进行离散，得到14259个自由度。定态快照解定义了降阶空间，从而可以在定点迭代内用降阶模型精确地求出变雷诺数的定常解。特别是，我们比较了使用谱元素离散化实现降阶模型的不同方面。文中展示了如何将压力和速度边界自由度中的多级静态凝聚[1]与降阶建模方法相结合，以在参数多查询情况下提高计算时间。
We consider the Navier-Stokes equations in a channel with varying Reynolds numbers. The model is discretized with high-order spectral element ansatz functions, resulting in 14 259 degrees of freedom. The steady-state snapshot solu- tions define a reduced order space, which allows to accurately evaluate the steady- state solutions for varying Reynolds number with a reduced order model within a fixed-point iteration. In particular, we compare different aspects of implementing the reduced order model with respect to the use of a spectral element discretization. It is shown, how a multilevel static condensation [1] in the pressure and velocity boundary degrees of freedom can be combined with a reduced order modelling approach to enhance computational times in parametric many-query scenarios.