| 粘性流体的加罚节点展开法 |
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| 引用本文： | 蒲春生.粘性流体的加罚节点展开法[J].西安石油大学学报(自然科学版),1994(2). |
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| 作者姓名： | 蒲春生 |
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| 作者单位： | 西安石油学院钻井信息中心 |
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| 摘 要： | 应用希尔伯特空间和有限元理论，把中子扩散方程的节点展开用于粘性不可压缩流体的计算，并通过人工加罚的方法，对粘性不可压缩流体的Ｎａｖｉｅｒ—Ｓｔｏｋｅｓ方程的求解提出了一类新的数值方法—加罚节点展开有限元法有从而在保证精度的基础上使计算量大为减小，论证了数值解的存在性、唯一性及收敛性，并用实例进行了验证
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| 关 键 词： | 粘性流体，数值计算，有限元逼近，加罚，节点展开 |
The Penalty Nodal Expansion Method for Viscous Fluid Flow |
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| Pu Chunsheng.The Penalty Nodal Expansion Method for Viscous Fluid Flow[J].Journal of Xian Shiyou University,1994(2). |
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| Authors: | Pu Chunsheng |
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| Institution: | Well Drilling information Center of Xi'an Petro. Inst. Xi'an. 710061 |
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| Abstract: | he nodal expansion method for neutron diffusion equation has been used for computing viscousfluid flow by applying Hilbert theory and finite element theory. By using artificial penalty method,a new numerical method--the finite element method of penalty nodal expansion for the Navier--Stokes equations of uncompressible viscous fluid flow is presented. So on the basis of guaranteeing the accuracy,the computation quantityhas been further reduced. The existance, uniqueness and the convergence of the numerical solution are discussed' A practical example of this method is also given. |
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| Keywords: | iscous fluid numerical computation finite element approach/penalty nodal expansion |
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