粘性流体动力学的混合协调元和混合杂交非协调元变分法

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Mixed Compatible Element and Mixed Hybrid Incompatible Element Variational Methods in Dynamics of Viscous Barotropic Fluids

摘要: 本文提出并论证了粘性正压流体流动的混合协调有限元变分原理,在论证中发现应力协调条件会自然满足。同时提出论证了有关的混合杂交非协调有限元广义变分原理,这能够简化粘性流动的非协调元计算。
- 粘性流体力学 /
- 计算流体力学 /
- 变分原理 /
- 有限元法 /
- 混合协调元 /
- 混合杂交非协调元
Abstract: This paper presents and proves the mixed compatible finite element variational principles in dynamics of viscous barotropic fluids.When the principles are proved, it is found that the com patibility conditions of stress can be naturaly satisfied, The generalized variational principles with mixed hybrid incompatble finite elements are also presented and proved,and they can reduce the computation of incompatible elemenis in dynamics of viscous barotropic lows.
- mechanics of viscous fluids /
- computational fluid mechanics /
- variational principl /
- finite element method /
- mixed compatible element /
- mixed hybrid incompatible element

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