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Improved wall boundary conditions in the incompressible smoothed particle hydrodynamics method

Tuan Minh Nguyen (Yonsei Cardiovascular Center, Yonsei University, Seoul, South Korea)
Abdelraheem M. Aly (Department of Mathematics, South Valley University, Qena, Egypt and Department of Mathematics, Faculty of science for Girls. Abha, King Khalid University, Saudia Arabia)
Sang-Wook Lee (School of Mechanical Engineering, University of Ulsan, Ulsan, South Korea)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 5 March 2018

228

Abstract

Purpose

The purpose of this paper is to improve the 2D incompressible smoothed particle hydrodynamics (ISPH) method by working on the wall boundary conditions in ISPH method. Here, two different wall boundary conditions in ISPH method including dummy wall particles and analytical kernel renormalization wall boundary conditions have been discussed in details.

Design/methodology/approach

The ISPH algorithm based on the projection method with a divergence velocity condition with improved boundary conditions has been adapted.

Findings

The authors tested the current ISPH method with the improved boundary conditions by a lid-driven cavity for different Reynolds number 100 ≤ Re ≤ 1,000. The results are well validated with the benchmark problems.

Originality/value

In the case of dummy wall boundary particles, the homogeneous Newman boundary condition was applied in solving the linear systems of pressure Poisson equation. In the case of renormalization wall boundary conditions, the authors analytically computed the renormalization factor and its gradient based on a quintic kernel function.

Keywords

Acknowledgements

This work is supported by the research fund from the University of Ulsan. The first author would like to express his gratitude to King Khalid University, Saudi Arabia for providing administrative and technical support.

Citation

Nguyen, T.M., Aly, A.M. and Lee, S.-W. (2018), "Improved wall boundary conditions in the incompressible smoothed particle hydrodynamics method", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 28 No. 3, pp. 704-725. https://doi.org/10.1108/HFF-02-2017-0056

Publisher

:

Emerald Publishing Limited

Copyright © 2018, Emerald Publishing Limited

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