论文标题
通过适当的广泛分解，在OpenFOAM中湍流不可压缩流的参数解决方案
Parametric solutions of turbulent incompressible flows in OpenFOAM via the proper generalised decomposition
论文作者
论文摘要
提出了一种基于适当的概括分解（PGD）的先验减少订单方法，以使用OpenFOAM在工业环境中计算涉及湍流不可压缩流的参数解决方案。首次将PGD框架应用于湍流制度中不可压缩的Navier-Stokes方程，以计算一种通用解决方案，以实现速度，压力和湍流粘度，取决于问题的设计参数。为了模拟工业兴趣的流，设计了基于开放式摄影的简单算法的最低侵入性实现，该算法应用于雷诺（Reynolds）平均的Navier-Stokes方程，并设计了Spalart-Allmaras湍流模型。所得的PGD策略应用于参数流控制问题，并与完整的OpenFOAM解决方案实现定性和定量一致性，用于对流为主的完全开发的湍流不可压缩的流量，雷诺数多达100万。
An a priori reduced order method based on the proper generalised decomposition (PGD) is proposed to compute parametric solutions involving turbulent incompressible flows of interest in an industrial context, using OpenFOAM. The PGD framework is applied for the first time to the incompressible Navier-Stokes equations in the turbulent regime, to compute a generalised solution for velocity, pressure and turbulent viscosity, explicitly depending on the design parameters of the problem. In order to simulate flows of industrial interest, a minimally intrusive implementation based on OpenFOAM SIMPLE algorithm applied to the Reynolds-averaged Navier-Stokes equations with the Spalart-Allmaras turbulence model is devised. The resulting PGD strategy is applied to parametric flow control problems and achieves both qualitative and quantitative agreement with the full order OpenFOAM solution for convection-dominated fully-developed turbulent incompressible flows, with Reynolds number up to one million.
