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

作　　者：韩向科[1] 钱若军[1] 袁行飞[2] 林智斌[3] 

机构地区：[1]同济大学建筑工程系,上海200092 [2]浙江大学建筑工程学院,杭州310027 [3]威斯康星大学土木工程与力学系,美国威斯康星州密尔沃基市53211

出　　处：《西安交通大学学报》2011年第7期112-117,共6页Journal of Xi'an Jiaotong University

基　　金：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)

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.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.

关 键 词：有限元法 特征线法 流体力学 分裂算法 显式格式 

分 类 号：O357.1[理学—流体力学]