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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 PropulsionShanghai, China Shanghai Engineering Research Center of Space EngineShanghai, China School of Energy and Power EngineeringNanjing University of Science and TechnologyNanjing, China
Y. Jing
Affiliation:
Shanghai Institute of Space PropulsionShanghai, China Shanghai Engineering Research Center of Space EngineShanghai, China
J. Dai
Affiliation:
Shanghai Institute of Space PropulsionShanghai, China Shanghai Engineering Research Center of Space EngineShanghai, China
Q. G. Lin
Affiliation:
Shanghai Institute of Space PropulsionShanghai, China Shanghai Engineering Research Center of Space EngineShanghai, China
X. W. Cai
Affiliation:
China Ship Scientific Research CenterNational Key Laboratory of Science and Technology on HydrodynamicWuxi, China
X. J. Ma
Affiliation:
Shanghai Xinli Power Equipment Research InstituteShanghai, China
D. F. Ren
Affiliation:
School of Energy and Power EngineeringNanjing University of Science and TechnologyNanjing, China
J. J. Tan*
Affiliation:
School of Energy and Power EngineeringNanjing University of Science and TechnologyNanjing, China
*
*Corresponding author ([email protected])
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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 methodCloud of Points (COP) ReconstructionViscous flowMoving 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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