论文标题
POD-(H)DG方法用于不可压缩的流量模拟
POD-(H)DG Method for Incompressible Flow Simulations
论文作者
论文摘要
我们基于粘性汉堡方程的适当正交分解(POD)提出了一种减少的顺序方法(ROM),并使用隐式解释的混合不连续的Galerkin/discutunubinubinubinous Galerkin(IMEX HDG/dg)方案离散地离散了不可压缩的Navier-Stokes方程。引入了一种新颖的闭合模型,可以轻松地离线计算。提出了数值结果以测试提出的POD模型和闭合模型。
We present a reduced order method (ROM) based on proper orthogonal decomposition (POD) 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.