A Corrected Nearest Neighbor Transportation Method of Aerodynamic Force for Fluid-Structure Interactions
Year: 2020
Author: Yunzhen Liu, Zhiqiang Wan, Qia Li, Qinghui Zhang
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 5 : pp. 746–765
Abstract
Aeroelastic analysis of the aircraft is a typical fluid-structure interaction problem. It is influenced by interactions between aerodynamic forces and deformations of elastic structures. The aerodynamic field and structural deformation are modeled by different physical equations, and the associated computational meshes do not match each other. Therefore, passing data from a mesh to the other one in a physically reasonable way is a challenging task. Current aerodynamic force transportation methods, such as virtual work conserved method (VWC), area weighted shape function method (AWSF), proximity minimum strain energy method (PMSE), and inverse distance weighted method (IDW), either destroy physical conservations or cause unreasonable distributions of structural forces. In this paper we propose a corrected nearest neighbor transportation method (CNNT) of aerodynamic force for the fluid-structure coupling analysis. The force transportation process is divided into two phases. First, the aerodynamic forces are allocated to the structural nodes initially using the conventional methods or, e.g., AWSF, IDW. Then, the initially allocated structural forces are corrected by solving an optimization problem with the physical conservations as its optimization target. The optimization problem is solved by a barrier interior point method efficiently. A sport airplane model is employed to verify effectiveness of CNNT. Comparisons with the VWC, AWSF, PMSE, IDW are also made. The numerical experiments show that the CNNT maintains the force, moment, and virtual work conservations, and exhibits reasonable distributions of structural forces, indeed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-IJNAM-17878
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 5 : pp. 746–765
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Aerodynamic force transportation fluid-structure interaction nearest neighbor method and corrected algorithm.