Simulation of the 3D viscoelastic free surface flow by a parallel corrected particle scheme

doi:10.1088/1674-1056/25/2/020204

中国物理B ›› 2016, Vol. 25 ›› Issue (2): 20204-020204.doi: 10.1088/1674-1056/25/2/020204

Simulation of the 3D viscoelastic free surface flow by a parallel corrected particle scheme

Jin-Lian Ren(任金莲) and Tao Jiang(蒋涛)

Department of Mathematics, Yangzhou University, Yangzhou 225002, China

收稿日期:2015-08-06 修回日期:2015-09-21 出版日期:2016-02-05 发布日期:2016-02-05
通讯作者: Jin-Lian Ren E-mail:rjl20081223@126.com
基金资助:
Project supported by the Natural Science Foundation of Jiangsu Province, China (Grant Nos. BK20130436 and BK20150436) and the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province, China (Grant No. 15KJB110025).

Simulation of the 3D viscoelastic free surface flow by a parallel corrected particle scheme

Jin-Lian Ren(任金莲) and Tao Jiang(蒋涛)

Department of Mathematics, Yangzhou University, Yangzhou 225002, China

Received:2015-08-06 Revised:2015-09-21 Online:2016-02-05 Published:2016-02-05
Contact: Jin-Lian Ren E-mail:rjl20081223@126.com
Supported by:
Project supported by the Natural Science Foundation of Jiangsu Province, China (Grant Nos. BK20130436 and BK20150436) and the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province, China (Grant No. 15KJB110025).

摘要/Abstract

摘要： In this work, the behavior of the three-dimensional (3D) jet coiling based on the viscoelastic Oldroyd-B model is investigated by a corrected particle scheme, which is named the smoothed particle hydrodynamics with corrected symmetric kernel gradient and shifting particle technique (SPH_CS_SP) method. The accuracy and stability of SPH_CS_SP method is first tested by solving Poiseuille flow and Taylor-Green flow. Then the capacity for the SPH_CS_SP method to solve the viscoelastic fluid is verified by the polymer flow through a periodic array of cylinders. Moreover, the convergence of the SPH_CS_SP method is also investigated. Finally, the proposed method is further applied to the 3D viscoelastic jet coiling problem, and the influences of macroscopic parameters on the jet coiling are discussed. The numerical results show that the SPH_CS_SP method has higher accuracy and better stability than the traditional SPH method and other corrected SPH method, and can improve the tensile instability.

关键词: SPH, corrected scheme, shifting particle technique, jet coiling

Abstract: In this work, the behavior of the three-dimensional (3D) jet coiling based on the viscoelastic Oldroyd-B model is investigated by a corrected particle scheme, which is named the smoothed particle hydrodynamics with corrected symmetric kernel gradient and shifting particle technique (SPH_CS_SP) method. The accuracy and stability of SPH_CS_SP method is first tested by solving Poiseuille flow and Taylor-Green flow. Then the capacity for the SPH_CS_SP method to solve the viscoelastic fluid is verified by the polymer flow through a periodic array of cylinders. Moreover, the convergence of the SPH_CS_SP method is also investigated. Finally, the proposed method is further applied to the 3D viscoelastic jet coiling problem, and the influences of macroscopic parameters on the jet coiling are discussed. The numerical results show that the SPH_CS_SP method has higher accuracy and better stability than the traditional SPH method and other corrected SPH method, and can improve the tensile instability.

Key words: SPH, corrected scheme, shifting particle technique, jet coiling

中图分类号: (Computational techniques; simulations)

02.70.-c

47.11.-j (Computational methods in fluid dynamics) 47.85.md (Polymer processing flows)

任金莲, 蒋涛. Simulation of the 3D viscoelastic free surface flow by a parallel corrected particle scheme[J]. 中国物理B, 2016, 25(2): 20204-020204.

Jin-Lian Ren(任金莲) and Tao Jiang(蒋涛). Simulation of the 3D viscoelastic free surface flow by a parallel corrected particle scheme[J]. Chin. Phys. B, 2016, 25(2): 20204-020204.

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Simulation of the 3D viscoelastic free surface flow by a parallel corrected particle scheme

Simulation of the 3D viscoelastic free surface flow by a parallel corrected particle scheme

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