论文标题
流式 - 静止的POD-GALERKIN降低订单模型，用于流函数涡流配方中
A POD-Galerkin reduced order model for the Navier-Stokes equations in stream function-vorticity formulation
论文作者
论文摘要
我们开发了基于正交的分解（POD） - 基督降低订单模型（ROM），以在流函数涡流公式中的参数Navier-Stokes方程的有效数值模拟。与以前的作品不同，我们为涡度和流函数字段选择不同的降低系数。此外，对于参数研究，我们使用从与参数空间中的样品点相关的时间相关的全订单快照的数据库获得的全局POD基础空间。我们通过Vortex合并基准测试ROM策略的性能。评估时间重建和物理参数化的精度和效率。
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 vortex merger benchmark. Accuracy and efficiency are assessed for both time reconstruction and physical parametrization.
