改进的基于特征线理论的流体力学有限元法

韩向科 1; 钱若军 1; 袁行飞 2; 林智斌 3

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改进的基于特征线理论的流体力学有限元法

更新时间：2025-07-09

- 改进的基于特征线理论的流体力学有限元法
- Improved Characteristic-Based Split Finite Element Method for Fluid Dynamics
- 西安交通大学学报 2011年45卷第7期页码：112-117
- 作者机构：
  
  同济大学建筑工程系,上海,200092
- 作者简介：
- 基金信息：
  
  : 2010-12-06. 作者简介: 韩向科(1982-),男,博士生;钱若军(联系人),男,教授,博士生导师. 基金项目: 国家自然科学基金资助项目(50708092);浙江省自然科学基金资助项目(R1080363)
- DOI：
  中图分类号： O357.1
- 网络首发：2011-07-10，
  
  纸质出版：2011
- 稿件说明：
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韩向科 1, 钱若军 1, 袁行飞 2, 等. 改进的基于特征线理论的流体力学有限元法[J]. 西安交通大学学报, 2011,45(7):112-117.

Improved Characteristic-Based Split Finite Element Method for Fluid Dynamics[J]. 2011, 45(7): 112-117.
韩向科 1, 钱若军 1, 袁行飞 2, 等. 改进的基于特征线理论的流体力学有限元法[J]. 西安交通大学学报, 2011,45(7):112-117. DOI：

Improved Characteristic-Based Split Finite Element Method for Fluid Dynamics[J]. 2011, 45(7): 112-117. DOI：

摘要

通过沿特征线求解动量方程

并运用局部泰勒级数展开对方程的离散进行简化

在传统的基于特征线离散的分裂算法的基础上

推导了一种精确的显式离散方法

详细给出了基于局部泰勒级数展开的特征线离散过程

并推导了有限元控制方程.通过自主研发的空间结构自动分析设计系统(简称AADS)流体模块中的三维算例计算

表明文中的分析是正确的

提出的改进方法具有较高的计算精度.

Abstract

With extensive finite element analysis and characteristics of fluid flow studies

an exact explicit discrete method for characteristics via local Taylor expansion was developed. Momentum equation along the characteristics was formulated and the FEM governing equations of the split method were derived. The proposed method had been achieved using in-house software package AADS(Automatic Analysis and Design of Space structure)and was verified using numerical examples documented in the literature. Comparison with numerical examples indicates that the proposed exact explicit discrete method can accurately predict incompressible fluid flow.

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references

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