Improved kernel gradient free-smoothed particle hydrodynamics and its applications to heat transfer problems

doi:10.1088/1674-1056/25/2/020202

中国物理B ›› 2016, Vol. 25 ›› Issue (2): 20202-020202.doi: 10.1088/1674-1056/25/2/020202

Improved kernel gradient free-smoothed particle hydrodynamics and its applications to heat transfer problems

Juan-Mian Lei(雷娟棉) and Xue-Ying Peng(彭雪莹)

School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China

收稿日期:2015-08-12 修回日期:2015-09-25 出版日期:2016-02-05 发布日期:2016-02-05
通讯作者: Juan-Mian Lei E-mail:leijm@bit.edu.cn

Improved kernel gradient free-smoothed particle hydrodynamics and its applications to heat transfer problems

Juan-Mian Lei(雷娟棉) and Xue-Ying Peng(彭雪莹)

School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China

Received:2015-08-12 Revised:2015-09-25 Online:2016-02-05 Published:2016-02-05
Contact: Juan-Mian Lei E-mail:leijm@bit.edu.cn

摘要/Abstract

摘要： Kernel gradient free-smoothed particle hydrodynamics (KGF-SPH) is a modified smoothed particle hydrodynamics (SPH) method which has higher precision than the conventional SPH. However, the Laplacian in KGF-SPH is approximated by the two-pass model which increases computational cost. A new kind of discretization scheme for the Laplacian is proposed in this paper, then a method with higher precision and better stability, called Improved KGF-SPH, is developed by modifying KGF-SPH with this new Laplacian model. One-dimensional (1D) and two-dimensional (2D) heat conduction problems are used to test the precision and stability of the Improved KGF-SPH. The numerical results demonstrate that the Improved KGF-SPH is more accurate than SPH, and stabler than KGF-SPH. Natural convections in a closed square cavity at different Rayleigh numbers are modeled by the Improved KGF-SPH with shifting particle positions, and the Improved KGF-SPH results are presented in comparison with those of SPH and finite volume method (FVM). The numerical results demonstrate that the Improved KGF-SPH is a more accurate method to study and model the heat transfer problems.

关键词: kernel gradient free-smoothed particle hydrodynamics, heat conduction, natural convection, accuracy and stability

Abstract: Kernel gradient free-smoothed particle hydrodynamics (KGF-SPH) is a modified smoothed particle hydrodynamics (SPH) method which has higher precision than the conventional SPH. However, the Laplacian in KGF-SPH is approximated by the two-pass model which increases computational cost. A new kind of discretization scheme for the Laplacian is proposed in this paper, then a method with higher precision and better stability, called Improved KGF-SPH, is developed by modifying KGF-SPH with this new Laplacian model. One-dimensional (1D) and two-dimensional (2D) heat conduction problems are used to test the precision and stability of the Improved KGF-SPH. The numerical results demonstrate that the Improved KGF-SPH is more accurate than SPH, and stabler than KGF-SPH. Natural convections in a closed square cavity at different Rayleigh numbers are modeled by the Improved KGF-SPH with shifting particle positions, and the Improved KGF-SPH results are presented in comparison with those of SPH and finite volume method (FVM). The numerical results demonstrate that the Improved KGF-SPH is a more accurate method to study and model the heat transfer problems.

Key words: kernel gradient free-smoothed particle hydrodynamics, heat conduction, natural convection, accuracy and stability

中图分类号: (Numerical simulation; solution of equations)

02.60.Cb

02.60.Lj (Ordinary and partial differential equations; boundary value problems) 44.10.+i (Heat conduction) 44.25.+f (Natural convection)

雷娟棉, 彭雪莹. Improved kernel gradient free-smoothed particle hydrodynamics and its applications to heat transfer problems[J]. 中国物理B, 2016, 25(2): 20202-020202.

Juan-Mian Lei(雷娟棉) and Xue-Ying Peng(彭雪莹). Improved kernel gradient free-smoothed particle hydrodynamics and its applications to heat transfer problems[J]. Chin. Phys. B, 2016, 25(2): 20202-020202.

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Improved kernel gradient free-smoothed particle hydrodynamics and its applications to heat transfer problems

Improved kernel gradient free-smoothed particle hydrodynamics and its applications to heat transfer problems

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