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Journal of Mechanics Journal of Mechanics

Article contents

The Study About Cloud of Points Reconstruction with the Framework of Meshfree Method for Viscous Flows

Published online by Cambridge University Press:  06 June 2017

Y. D. Wang ,
Y. Jing ,
J. Dai ,
Q. G. Lin ,
X. W. Cai ,
X. J. Ma ,
D. F. Ren  and
J. J. Tan
Y. D. Wang
Affiliation:
Shanghai Institute of Space Propulsion Shanghai, China Shanghai Engineering Research Center of Space Engine Shanghai, China School of Energy and Power Engineering Nanjing University of Science and Technology Nanjing, China
Y. Jing
Affiliation:
Shanghai Institute of Space Propulsion Shanghai, China Shanghai Engineering Research Center of Space Engine Shanghai, China
J. Dai
Affiliation:
Shanghai Institute of Space Propulsion Shanghai, China Shanghai Engineering Research Center of Space Engine Shanghai, China
Q. G. Lin
Affiliation:
Shanghai Institute of Space Propulsion Shanghai, China Shanghai Engineering Research Center of Space Engine Shanghai, China
X. W. Cai
Affiliation:
China Ship Scientific Research Center National Key Laboratory of Science and Technology on Hydrodynamic Wuxi, China
X. J. Ma
Affiliation:
Shanghai Xinli Power Equipment Research Institute Shanghai, China
D. F. Ren
Affiliation:
School of Energy and Power Engineering Nanjing University of Science and Technology Nanjing, China
J. J. Tan
Affiliation:
School of Energy and Power Engineering Nanjing University of Science and Technology Nanjing, China
Corresponding
E-mail address:
dlxyjx@mail.njust.edu.cn
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Abstract

A new method, called Cloud of Points (COP) Reconstruction, is proposed in the present work to extend the meshfree method to simulate viscous flows. With the characters of viscous flows, the anisotropic COP structure is distributed in boundary layer. The proposed method can improve the anisotropic COP structure to isotropic COP structure and reduce the condition number of the least square coefficient matrix for conventional meshfree method. The values of the new reconstructed points are calculated by the Lagrange interpolation. The accuracy and the robustness of the presented meshfree solver are demonstrated on a number of standard test cases, including the functions with analytical gradients and the viscous flows past NACA0012 airfoil. The comparison of the simulation results with the experimental data and other numerical simulation data are also investigated.

Keywords

Meshfree method Cloud of Points (COP) Reconstruction Viscous flow Moving least square
Type
Research Article
Information
Journal of Mechanics , Volume 34 , Issue 2 , April 2018 , pp. 75 - 87
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2018 

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