上海交通大学学报(自然版)

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基于显式时间离散CBS有限元法的流场数值模拟

赵尧军,周岱,李磊   

  1. (上海交通大学 船舶海洋与建筑工程学院, 上海 200240)
  • 收稿日期:2009-03-19 修回日期:1900-01-01 出版日期:2010-01-29 发布日期:2010-01-29

An Explicit Temporal Discretization Characteristic Based Split Algorithm and Its Application for Flow Past Bluff Body

ZHAO Yaojun,ZHOU Dai,LI Lei   

  1. (School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China)
  • Received:2009-03-19 Revised:1900-01-01 Online:2010-01-29 Published:2010-01-29

摘要: 基于全微分形式,采用动量特征线实施坐标转换,提出沿动量特征线方程的显式时间离散CBS有限元法,其保持了CBS格式的属性且具有时间的二阶精度.运用该算法进行低雷诺数下圆柱和正方体的瞬态绕流模拟,对比了升力系数和阻力系数的数值计算结果与相关文献的实验结果,数值分析了单柱和并排双柱情形下的流场绕流.结果表明,所提出的CBS有限元法在低雷诺数下的流场模拟中具有较好的可靠性.

关键词: 有限元方法, 时间离散, 动量特征线

Abstract: An Explicit Temporal Discretization Characteristic Based Split Algorithm and Its Application for Flow Past Bluff BodyZHAO Yaojun,ZHOU Dai,LI Lei(School of An explicit temporal discretization characteristic based split (CBS) algorithm was developed along the characteristic of the momentum equation with holomorphic differential form and by introduction of the coordinate transformation on the characteristic of the momentum. In the developed algorithm, the second order time precision is reached and the properties of the original CBS technique are remained. Furthermore, a series of the numerical simulation of unsteady flow with low Renolds number past a circular cylinder and a square cylinder was carried out by present algorithm and some comparisons between computational and experimental results of both drag and lift coefficients of bluff bodies were made. Finally, the flow fields around a single circular cylinder and two circular cylinders with sidebyside arangement were numerically investigated respectively. It is showed that the present algorithm is fit for the simulation of flow field with low Renolds number.

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