Proper orthogonal decomposition of flow-field in non-stationary geometry

Victor Troshin; Avi Seifert; David Sidilkover; Gilead Tadmor

doi:10.1016/j.jcp.2016.02.006

Proper orthogonal decomposition of flow-field in non-stationary geometry

Victor Troshin^*, Avi Seifert, David Sidilkover, Gilead Tadmor

^*Corresponding author for this work

School of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

The current paper outlines a proper orthogonal decomposition (POD) methodology for a flow field in a domain with moving boundaries. In the standard POD approach the properties of the region of the domain, which alternatingly occupied by fluid and solid, are not defined. Here, prior to the decomposition, the domain with moving or deforming boundaries is mapped to a stationary domain using volume preserving mapping. This mapping was created by combining a transfinite interpolation and volume adjustment algorithm. The algorithm is based on an iterative solution of the Laplace equation with respect to the displacement potential of the grid points. Finally the method is demonstrated on CFD results of pitching and plunging ellipse in still fluid.

Original language	English
Pages (from-to)	329-337
Number of pages	9
Journal	Journal of Computational Physics
Volume	311
DOIs	https://doi.org/10.1016/j.jcp.2016.02.006
State	Published - 15 Apr 2016

Keywords

Aero-elasticity
Flapping wing flight
Fluid-structure interaction
Large deformations
Low-order modelling
Proper orthogonal decomposition

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10.1016/j.jcp.2016.02.006

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abstract = "The current paper outlines a proper orthogonal decomposition (POD) methodology for a flow field in a domain with moving boundaries. In the standard POD approach the properties of the region of the domain, which alternatingly occupied by fluid and solid, are not defined. Here, prior to the decomposition, the domain with moving or deforming boundaries is mapped to a stationary domain using volume preserving mapping. This mapping was created by combining a transfinite interpolation and volume adjustment algorithm. The algorithm is based on an iterative solution of the Laplace equation with respect to the displacement potential of the grid points. Finally the method is demonstrated on CFD results of pitching and plunging ellipse in still fluid.",

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AB - The current paper outlines a proper orthogonal decomposition (POD) methodology for a flow field in a domain with moving boundaries. In the standard POD approach the properties of the region of the domain, which alternatingly occupied by fluid and solid, are not defined. Here, prior to the decomposition, the domain with moving or deforming boundaries is mapped to a stationary domain using volume preserving mapping. This mapping was created by combining a transfinite interpolation and volume adjustment algorithm. The algorithm is based on an iterative solution of the Laplace equation with respect to the displacement potential of the grid points. Finally the method is demonstrated on CFD results of pitching and plunging ellipse in still fluid.

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Proper orthogonal decomposition of flow-field in non-stationary geometry

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