| 不可压缩粘性流体同阶插值有限单元的讨论 |
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| 引用本文： | 刘迎曦,石广玉,唐立民.不可压缩粘性流体同阶插值有限单元的讨论[J].大连理工大学学报,1987(4). |
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| 作者姓名： | 刘迎曦 石广玉 唐立民 |
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| 作者单位： | 大连工学院工程力学研究所
(刘迎曦，石广玉)，大连工学院工程力学研究所(唐立民) |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 本文讨论了有限元分析中粘性不可压缩流体原始变量法构造同阶插值单元的困 难，应用通常构造单元的方法，速度和压力采用同阶插值时，直接违反了ＬＢＢ条件 中秩的必要条件，从而出现伪压力横式和整体离散线性方程组不定解等问题，针对 这些问题，本文提出一种构造单元的方法，以六节点三角形单元（ＭＰ－）为例，通 过若干数值算例和部分理论分析，说明了这种方法用于构造同阶插值单元是有效的。
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| 关 键 词： | 流体动力学 有限元法 不可压缩流体 粘性流体/原始变量法 伪压力模式 LBB条件 |
On the Finite Element Analysis of Incompressible Fluid Flow Incorporating Equal Order Pressure and Velocity Interpolation |
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| Liu Yingxi,Shi Guangyu,Tang Limin.On the Finite Element Analysis of Incompressible Fluid Flow Incorporating Equal Order Pressure and Velocity Interpolation[J].Journal of Dalian University of Technology,1987(4). |
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| Authors: | Liu Yingxi Shi Guangyu Tang Limin |
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| Institution: | Research Institute of Engineering Mechanics of DIT |
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| Abstract: | In this paper the difficulties of finite element analysis of incompressible fl- uid flow incoporating e. ual order pressure and velocity interpolating are discus sed. The conventional method to construct this kind of element is contrary to the necessary rank LBB condition and leads to appearing of pseudo-pressure mode and uncertainty of solution of system of global discrete linear equations. Aiming at these problems, an efficient method of constructing equal order interp polation element is proposed in this paper which is illustrated through the exa mple of a 6 node triangular element and some numerical testing. |
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| Keywords: | fluid dynamics finite element method incompressible fluid viscous fluid /primitive variable formulation spurious pressure mode Babuska Brezzi Condition |
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