POD-(H)DG Method for Incompressible Flow Simulations
POD-(H)DG Method for Incompressible Flow Simulations
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DOI：
10.1007/s10915-020-01328-4
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发表时间：
2020-04
影响因子：
2.5
通讯作者：
G. Fu;Zhu Wang
中科院分区：
文献类型：
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作者：
G. Fu;Zhu Wang
采用隐式-显式混合间断Galerkin/Disoutinous Galerkin(IMEX HDG/DG)格式离散粘性Burgers型方程和不可压缩的Navier-Stokes方程，提出了一种基于本征正交分解的降阶方法。介绍了一种新的闭包模型，该模型可以方便地离线计算。数值结果验证了POD模型和闭合模型的正确性。
We present a reduced order method based on proper orthogonal decomposition for the viscous Burgers’ equation and the incompressible Navier–Stokes equations discretized using an implicit-explicit hybrid discontinuous Galerkin/discoutinuous Galerkin (IMEX HDG/DG) scheme. A novel closure model, which can be easily computed offline, is introduced. Numerical results are presented to test the proposed POD model and the closure model.