OpenFOAM中参数化不可压流动问题的非侵入广义分解
Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM
摘要：
目前，参数研究的计算成本是日常工业环境中基于仿真的工程技术应用的主要限制。这项工作提出了适当的广义分解（PGD）在OpenFOAM的第一个非侵入性的实施，参数化层流不可压缩Navier-斯托克斯方程的近似。这种方法的关键特征是在工业验证的计算流体动力学软件的框架中无缝集成降阶模型（ROM）。这在工业环境中是特别重要的，因为在PGD ROM的在线阶段中，通过广义解的插值简单地获得特定参数集的流的描述，而不需要任何额外的求解步骤。一方面，采用OpenFOAM的经典解策略，即压力方程半隐式方法（SIMPLE），处理PGD分离未知量所引起的空间问题。另一方面，通过配点法求解参数迭代。由此产生的ROM适用于几个基准测试的层流不可压缩Navier-Stokes流，在二维和三维，不同的参数影响的流动特征。最后，所提出的策略来处理工业问题的能力进行了验证，通过应用该方法的一个参数化的流量控制在一个现实的几何感兴趣的汽车行业。
英文摘要：
The computational cost of parametric studies currently represents the major limitation to the application of simulation-based engineering techniques in a daily industrial environment. This work presents the first nonintrusive implementation of the proper generalised decomposition (PGD) in OpenFOAM, for the approximation of parametrised laminar incompressible Navier-Stokes equations. The key feature of this approach is the seamless integration of a reduced order model (ROM) in the framework of an industrially validated computational fluid dynamics software. This is of special importance in an industrial environment because in the online phase of the PGD ROM the description of the flow for a specific set of parameters is obtained simply via interpolation of the generalised solution, without the need of any extra solution step. On the one hand, the spatial problems arising from the PGD separation of the unknowns are treated using the classical solution strategies of OpenFOAM, namely the semi-implicit method for pressure linked equations (SIMPLE) algorithm. On the other hand, the parametric iteration is solved via a collocation approach. The resulting ROM is applied to several benchmark tests of laminar incompressible Navier-Stokes flows, in two and three dimensions, with different parameters affecting the flow features. Eventually, the capability of the proposed strategy to treat industrial problems is verified by applying the methodology to a parametrised flow control in a realistic geometry of interest for the automotive industry.
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