[1]王红刚,林海飞,吴奉亮,等.偏微分方程叠加原理在流场数值计算中的应用[J].西安科技大学学报,2010,(04):502-506.
 WANG Hong gang,LIN Hai fei,WU Feng liang,et al.Application of superposition theory of partial differential equation in numerical calculation of flow field[J].Journal of Xi'an University of Science and Technology,2010,(04):502-506.
点击复制

偏微分方程叠加原理在流场数值计算中的应用()
分享到:

西安科技大学学报[ISSN:1672-9315/CN:61-1434/N]

卷:
期数:
2010年04期
页码:
502-506
栏目:
出版日期:
2010-07-11

文章信息/Info

Title:
Application of superposition theory of partial differential equation in numerical calculation of flow field
文章编号:
1672-9315(2010)04-0502-07
作者:
王红刚林海飞吴奉亮张俭让常心坦
西安科技大学 能源学院,陕西 西安 710054
Author(s):
WANG Hong gangLIN Hai feiWU Feng liangZHANG Jian rangCHANG Xin tan
College of Energy Science and Engineering,Xi′an University of Science and Technology, Xi′an 710054,China
关键词:
叠加原理 边界条件 线性渗流 计算流体力学
Keywords:
Key wards: superposition theory boundary condition linear seepage computational fluid dynamics
分类号:
TB126
摘要:
以偏微分方程叠加原理为基础,阐述了一种求解复杂流场问题的新方法。该方法首先将一个具有复杂边界条件和源项的、难以求解的流场问题拆分为若干具有简单边界条件和源项,从而易于求解流场问题,然后用若干个简单流场问题的解的叠加来描述复杂问题的解。以多孔介质的线性渗流问题为例,应用计算流体力学软件,通过对原问题及经过拆分的简单问题进行数值模拟。将简单问题的数值解叠加并与原问题的数值解进行对比,证明了叠加原理在流场数值模拟中应用的可行性。该方法在计算流体力学中的应用可以极大地降低所需的数值试验次数。
Abstract:
Based on the superposition theory of partial differential equation, a new method is introduced to solve complicated problems of flow field. In this method, a problem of flow field with complex boundary conditions and source items is divided into several problems of flow fields with simple boundary conditions and source items, and then the solution of a complicated problem of flow field can be determined by the solutions' superposition of several simple problems of flow fields. Using a CFD software, a linear seeping problem in porous media is solved by numerical simulation and solutions' superposition of two simpler problems deriving from the protoproblem.The result verifies the application feasibility of superposition theory in numerical simulation of flow field. The application of the new method in CFD can decrease the number of needed numerical examination.

参考文献/References:

[1]王福军.计算流体动力学分析——CFD软件原理与应用[M].北京:清华大学出版社,2004.
WANG Fu jun.Analysis of computational fluid dynamics:the theory of CFD software and its application[M]. Beijing:Tsinghua University Press,2004.
[2]Anderson J D. Computational fluid dynamics:the basics with applications[M]. Beijing:McGrawHill,1995.
[3]马秀艳,韩国松.叠加原理的数学基础及其在物理上的应用[J].安阳师范学院学报,2006,(24):25.
MA Xiu yan, HAN Guo song.The mathematical basis of the superpose principle and its usage in physics[J]. Journal of Anyang Teachers College,2006,(24):25.
[4]薛兴恒.数学物理偏微分方程[M].合肥:中国科技大学出版社,1995.
XUE Xing heng.Mathematical physics and partial differential equation[M]. Hefei:China University of Science and Technology Press,1995.
[5]章梦涛.煤岩流体力学[M].北京:科学出版社,1995.
ZHANG Meng tao.Coal hydrodynamics[M].Beijing:Science Press,1995.
[6]顾慰慈.渗流计算原理及其应用[M].北京:中国建材工业出版社,2000.
GU Wei ci.The calculation principle of seepage and its application[M].Beijing: China Building Materials Industry Press,2000.
[7]毛昶熙.渗流计算分析与控制[M].北京:中国水利水电出版社,2003.
MAO Chang xi. Analysis and control of seeping calculation[M].Beijing: China Hydraulic and Hydroelectric Press, 2003.

相似文献/References:

[1]白光富,胡 林,张忠政,等.边界对颗粒物质与探测棒间静摩擦力的影响[J].西安科技大学学报,2009,(02):248.
 BAI Guang-fu,HU Lin,ZHANG Zhong-zheng,et al.Effect of boundary on maximum force between rod and granular[J].Journal of Xi'an University of Science and Technology,2009,(04):248.

备注/Memo

备注/Memo:
收稿日期: 2009-03-27 基金项目: 国家自然科学基金项目(50874089); 陕西省教育厅专项科研计划项目(08JK354) 通讯作者: 王红刚(1979-),男,河南许昌人,博士研究生,软件工程师,主要从事矿井通风计算机模拟、瓦斯灾害治理等研究.
更新日期/Last Update: 2010-07-11