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POD and CVT-based reduced-order modeling of Navier-Stokes flows

机译：基于POD和CVT的Navier-Stokes流的降阶建模

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摘要

A discussion of reduced-order modeling for complex systems such as fluid flows is given to provide a context for the construction and application of reduced-order bases. Reviews of the POD (proper orthogonal decomposition) and CVT (centroidal Voronoi tessellation) approaches to reduced-order modeling are provided, including descriptions of POD and CVT reduced-order bases, their construction from snapshot sets, and their application to the low-cost simulation of the Navier-Stokes system. Some concrete incompressible flow examples are used to illustrate the construction and use of POD and CVT reduced-order bases and to compare and contrast the two approaches to reduced-order modeling.
机译：讨论了复杂系统（例如流体流）的降阶建模，以为降阶基础的构建和应用提供背景。提供了对POD（正确正交分解）和CVT（质心Voronoi镶嵌）方法进行降阶建模的综述，包括对POD和CVT降阶基础的描述，它们从快照集的构造及其在低成本中的应用Navier-Stokes系统的仿真。一些不可压缩的具体流动示例用于说明POD和CVT降阶基础的构造和使用，并比较和对比两种降阶建模​​方法。

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