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| 摘要: |
| 本文研究了液晶流不可压缩动力学方程组的数值求解问题.利用鞍点方法构造泛函,并对泛函进行变分,提出了一个具有一阶精度的解耦数值格式.通过数值模拟结合理论分析,得出所提方法可以准确描述液晶中的缺陷、分子分布规律以及符合动力学规律的结论.丰富了求解液晶动力学模型的内容. |
| 关键词: 向量液晶 有限元方法 鞍点结构 增量投影法 |
| DOI： |
| 分类号:O241.82 |
| 基金项目:山西省自然科学基金资助(201801D121016). |
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| THE FIRST ORDER, LINEAR AND ENERGY STABLE NUMERICAL SCHEME OF ERICKSEN-LESLIE EQUATION |
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HAN Yu-qian,NIU Li-fang,JIA Hong-en
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| Abstract: |
| The numerical solution of incompressible dynamic equations of liquid crystalflow is studied in this paper. A first order and decoupled numerical scheme is proposed by using the saddle point method and variational function. Through numerical simulation and theoretical analysis, it is concluded that the proposed method can accurately describe the defects and molecular distribution in liquid crystal and accord with the kinetic law. The content of solving liquid crystal dynamic model is enriched. |
| Key words: nematic liquid crystal saddle-point structure nite element methods incre- mental fractional-step method |
