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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 ›› 2016, Vol. 33 ›› Issue (2): 151-162.doi: 10.3969/j.issn.1005-3085.2016.02.005

• • 上一篇    下一篇

基于Brown构形场方法的二维收缩流模拟

李路程1,  许晓阳2   

  1. 1- 西北工业大学应用数学系，西安  710129
    2- 陕西理工学院数学与计算机科学学院，汉中 723001
  • 收稿日期:2014-01-13 接受日期:2014-09-11 出版日期:2016-04-15 发布日期:2015-06-15
  • 通讯作者: 许晓阳 E-mail: xiaoyang.xu@snut.edu.cn
  • 基金资助:
    国家自然科学基金 (11502132)；陕西省教育厅科研计划项目 (15JK1152)；陕西理工学院博士科研启动基金 (SLGKYQD2-15).

Simulation of Two-dimensional Planar Contraction Flow Based on Brownian Configuration Fields Method

LI Lu-cheng1,  XU Xiao-yang2   

  1. 1- Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710129
    2- School of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong 723001
  • Received:2014-01-13 Accepted:2014-09-11 Online:2016-04-15 Published:2015-06-15
  • Contact: X. Xu. E-mail address: xiaoyang.xu@snut.edu.cn
  • Supported by:
    The National Natural Science Foundation of China (11502132); the Scientific Research Program of Shaanxi Provincial Education Department (15JK1152); the Research Foundation for the Doctoral Program of Shaanxi University of Technology (SLGKYQD2-15).

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摘要： 本文结合同位网格有限体积离散，应用Brown构形场方法对二维粘弹性流动问题进行了数值模拟．首先，通过对平面Couette流的数值模拟验证了Brown构形场方法求解简单流动问题的有效性．其次，应用Brown构形场方法对二维收缩流问题进行了数值模拟，分析了We数对流动特征的影响．数值结果表明，该方法具有高效、稳定性强和对流项处理简单的优点．另外，采用方差缩减技术能很好地抑制收缩口附近产生的非物理应力振荡．

关键词: Brown构形场, 有限体积法, 平板收缩流, 方差缩减

Abstract:

In this paper, Brownian configuration fields (BCF) with the finite volume discretization on non-staggered grids is employed to simulate 2D viscoelastic fluid flows. In order to verify the effectiveness of the numerical method, the plane Couette flow is firstly tested, and the resu-lts are compared with the available literature data. Then, the BCF method is extended to the planar contraction flow. The influence of We on the flow patterns is also analyzed. All numerical results illustrate that the numerical method employed in this paper has the advantages of high efficiency and good stability, and is easy to deal with the convection term. Furthermore, it is observed that the variance reduction can nicely suppress the unphysical oscillation of stress around the contraction corner.

Key words: Brownian configuration fields, finite volume method, planar contraction, variance reduction

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