在线咨询
中国工业与应用数学学会会刊
主管：中华人民共和国教育部
主办：西安交通大学
ISSN 1005-3085  CN 61-1269/O1
工程数学学报

工程数学学报 ›› 2015, Vol. 32 ›› Issue (1): 50-60.doi: 10.3969/j.issn.1005-3085.2015.01.006

• • 上一篇    下一篇

粘弹性流体模拟的DCQ-QUICK格式

周  文1,  解  岩1,  欧阳洁1,  李  强2   

  1. 1- 西北工业大学应用数学系，西安 710129
    2- 河南理工大学数学与信息科学学院，焦作 454003
  • 收稿日期:2012-09-27 接受日期:2013-04-16 出版日期:2015-02-15 发布日期:2015-04-15
  • 基金资助:
    国家重点基础研究发展计划 (2012CB025903).

Simulating Viscoelastic Flow Field Based on DCQ-QUICK Scheme

ZHOU Wen1,   XIE Yan1,  OUYANG Jie1,  LI Qiang2   

  1. 1- Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710129
    2- Department of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003
  • Received:2012-09-27 Accepted:2013-04-16 Online:2015-02-15 Published:2015-04-15
  • Supported by:
    The National Key Basic Research Program of China (2012CB025903).

PDF (PC)

12

摘要： 流场中对流项的离散是其数值求解的一大难点．本文基于非结构同位网格格心有限体积法，针对流场守恒方程与Oldroyd-B本构方程的对流项，提出了一种耦合高阶Q-QUICK格式的延迟修正格式．通过平面Poiseuille流在不同$We$数下数值解与解析解的比较，验证了该方法具有较高的精度和较好的数值稳定性．通过4:1粘弹性收缩流的数值模拟，揭示了不同$Re$、$We$数下流场中压力、应力变化及角涡生长情况，同时也表明了该方法可有效扩大$We$数的计算范围．

关键词: 粘弹性, Q-QUICK格式, $We$数, Oldroyd-B

Abstract:

The discrete for the convection term is one of the main difficulties for the num-erical solution of viscoelastic fluid flow. In this paper, for the conservation equations and the Oldroyd-B constitutive equation, a deferred correction method coupled with high order Q-QUICK scheme for the computation of the convection flux is proposed. This method is designed based on the finite volume method on unstructured collocated grids. The planar poiseuille viscoelastic flow is simulated numerically to verify the high precision and stability of the proposed method. In the simulation of 4:1 contraction viscoelastic flow, the changes of the stream lines and stresses as well as growing of the salient corner vortex versus the Weissenberg numbers are revealed. The numerical results show that the numerical method is capable of expanding the range of the Weissenberg numbers for nonlinear viscoelastic fluid.

Key words: viscoelastic, Q-QUICK scheme, Weissenberg number, Oldroyd-B

中图分类号: