船舶与海洋工程

弱可压缩SPH方法压力初始赋值方法比较研究

  • 黄兴 ,
  • 陈武 ,
  • 扈喆 ,
  • 李晓文 ,
  • 李妍
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  • (1 .集美大学 轮机工程学院,福建 厦门 361021;2.上海海事大学 商船学院,上海 201306)
黄兴(1988 — ),男,博士生,E-mail: rye201n@163.com.

收稿日期: 2019-11-13

  修回日期: 2020-01-19

  网络出版日期: 2020-01-19

基金资助

国家自然科学基金资助项目(51609101);福建省自然科学基金资助项目(2017J01701);福建省海洋经济发展补助资金资助项目(FJHJF-L-2018-4).

A comparative study on the initial pressure assignment methods of weakly compressible SPH method

  • HUANG Xing ,
  • CHEN Wu ,
  • HU Zhe ,
  • LI Xiao-wen ,
  • LI Yan
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  • (1. School of Marine Engineering,Jimei University, Xiamen 361021, China;2. Merchant Marine College,Shanghai Maritime University, Shanghai 201306, China)

Received date: 2019-11-13

  Revised date: 2020-01-19

  Online published: 2020-01-19

Supported by

 

摘要

为研究不同初始流场压力赋值方法对于弱可压缩SPH方法数值结果稳定性的影响,采用静水压力赋值方法以及弱可压缩假设赋值方法,结合不同物理模型及不同数值影响因素对弱可压缩SPH方法的初始流场压力稳定性问题进行对比分析。对粒子数的比较研究表明,相同粒子数下,弱可压缩法在流场稳定速率及流场稳定性上均优于静水压力法。对人工声速的研究表明,弱可压缩法的自身稳定性及对人工声速的不敏感性显著优于静水压力法。对人工黏性的比较表明,静水压力法较弱可压缩法对人工黏性系数的敏感性较高,易受人工黏性变化而产生压力波动。弱可压缩假设赋值方法具有良好的鲁棒性,有利于提高初始流场收敛速度,提升流场数值稳定性,对于弱可压缩SPH方法流场初始赋值方法选择具有一定意义。

本文引用格式

黄兴 , 陈武 , 扈喆 , 李晓文 , 李妍 . 弱可压缩SPH方法压力初始赋值方法比较研究[J]. 大连海事大学学报, 2020 , 46(2) : 34 -40 . DOI: 10.16411/j.cnki.issn1006-7736.2020.02.005

Abstract

In order to study the influence of different initial flow field pressure assignment methods on the stability of numerical results of the weakly compressible SPH method, the hydrostatic pressure assignment method and the weakly compressible hypothesis assignment method were used to compare and analyze the initial flow field pressure stability of the weakly compressible SPH method with different physical models and different numerical influence factors. The contrastive study of particle number shows that the weak compressible method is better than the hydrostatic method in the field stability rate and field stability under the same particle number. The study of artificial sound velocity indicates that the method of weak compressibility is more stable and insensitive to artificial sound velocity than that of hydrostatic pressure. The comparison of the artificial viscosity illustrates that the performance of weaker hydrostatic method and the more sensitive compressible method to the artificial viscosity coefficient are easy to be affected by the change of the artificial viscosity. The weak compressible hypothesis assignment method has good robustness, which is conducive to improve the convergence speed of the initial flow field and the numerical stability of the flow field. It has certain significance for the selection of the initial assignment method of the weak compressible SPH method.

参考文献

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