Abstract
The objective of this research is to propose a new reduced-order modeling method. This approach is based on fluid eigenmodes and body vortices without using static correction. The vortex lattice method (VLM) is used to analyze unsteady flows over two-dimensional airfoil and three-dimensional wing. Eigenanalysis and reduced-order modeling are performed using a conventional method with static correction and an unconventional one without the static correction. Numerical examples are proposed to demonstrate the performance of the present method. The results show that the new method can be considered an alternative way to perform the reduced-order models of unsteady flow.
Highlights
Reduced-order modeling (ROM) with a static correction technique is an efficient technique which has been used for analyzing unsteady incompressible aerodynamic flows [1]
The purpose of this research is to derive an alternative ROM based on a vortex lattice method (VLM) in which the eigenvalue problem is defined only based on the unknown body vortices
A reduced-order model for unsteady flows is developed without a static correction technique
Summary
Reduced-order modeling (ROM) with a static correction technique is an efficient technique which has been used for analyzing unsteady incompressible aerodynamic flows [1]. A few unsteady flow eigenmodes are used to construct the reduced-order unsteady flow models similar to the modal analysis of structures Such a technique was used to study an eigenanalysis of unsteady potential flows about flat airfoils, cascades, and wings. Behbahani-Nejad has shown the eigenmodes that are equal to the body’s elements behave exactly in quasistatic fashion [4] He proposed to construct a ROM only based on the wake eigenmodes, which means that the body quasistatic eigenmodes are removed. Shahverdi et al [5] presented that the new technique can construct an efficient ROM based on the boundary element method to analyze unsteady flows over an airfoil, wing, and wing body. Their model has significantly low dimension in comparison with other previously studied models
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