A POD-Galerkin reduced order model for the Navier–Stokes equations in stream function-vorticity formulation
A POD-Galerkin reduced order model for the Navier–Stokes equations in stream function-vorticity formulation
复制标题
流函数涡度公式中纳维斯托克斯方程的 POD-Galerkin 降阶模型
DOI：
10.1016/j.compfluid.2022.105536
复制
发表时间：
2022
影响因子：
2.8
通讯作者：
Rozza, Gianluigi
中科院分区：
文献类型：
--
作者：
Girfoglio, Michele;Quaini, Annalisa;Rozza, Gianluigi
本文提出了一种基于恰当正交分解（POD）-Galerkin的降阶模型（ROM），用于流函数-涡量方程中参数化Navier-Stokes方程的高效数值模拟。不同于以往的工作，我们选择不同的约化系数的涡量和流函数场。此外，对于参数的研究，我们使用一个全球POD基空间从数据库中的时间相关的全阶快照相关的参数空间中的样本点。我们测试我们的ROM策略的性能与著名的旋涡合并基准和一个更复杂的案例研究，具有北大西洋的几何形状。时间重建和物理参数化的精度和效率进行评估。
We develop a Proper Orthogonal Decomposition (POD)-Galerkin based Reduced Order Model (ROM) for the efficient numerical simulation of the parametric Navier–Stokes equations in the stream function-vorticity formulation. Unlike previous works, we choose different reduced coefficients for the vorticity and stream function fields. In addition, for parametric studies we use a global POD basis space obtained from a database of time dependent full order snapshots related to sample points in the parameter space. We test the performance of our ROM strategy with the well-known vortex merger benchmark and a more complex case study featuring the geometry of the North Atlantic Ocean. Accuracy and efficiency are assessed for both time reconstruction and physical parameterization.