等几何多重网格法在雷诺方程中的应用The Application of Isogeometric Multiple Grid Method in Reynolds Equation
李子强;罗会信;左兵权;张希;
摘要(Abstract)：
相比于有限元法,等几何法求解偏微分方程能以较少的自由度达到更高的求解精度。而多重网格法在处理大规模方程组求解方面应用广泛。为了满足流体仿真对雷诺方程求解的精度与速度的要求,对将等几何法与多重网格法相结合的方法求解雷诺方程进行了研究。文章首先对雷诺方程进行推导,建立适于等几何法的求解模型;然后研究了节点插入的细分算法,构建基于h细化的各层控制点网格之间与阶次相适应的映射矩阵,提出了基于h细化的等几何多重网格法求解模型并。通过不同计算实例发现:等几何多重网格法计算效率明显优于单纯等几何法。
关键词(KeyWords)： 等几何法;雷诺方程;多重网格;映射矩阵;收敛速度
基金项目(Foundation):
作者(Author): 李子强;罗会信;左兵权;张希;
Email:
DOI: 10.19356/j.cnki.1001-3997.2021.03.019
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