Estimation of Impacts of Removing Arbitrarily Constrained Domain Details to the Analysis of Incompressible Fluid Flows
Estimation of Impacts of Removing Arbitrarily Constrained Domain Details to the Analysis of Incompressible Fluid Flows
复制标题
估计去除任意约束域细节对不可压缩流体流动分析的影响
DOI：
10.4208/cicp.071015.050216a
复制
发表时间：
2016
影响因子：
3.7
通讯作者：
Li Jingzhi
中科院分区：
文献类型：
--
作者：
Zhang Kai;Li Ming;Li Jingzhi
将几何细节从计算域中去除，可以显著降低网格划分和仿真计算等后续任务的复杂度，提高其稳定性。适当估计去除这些域细节引起的灵敏度分析误差，即去特征误差，可以保证简化后的灵敏度分析保真度仍能得到满足。本文研究了去除任意约束域细节对不可压缩流体流动分析的影响估计，并将其应用于复杂环境下不可压缩流体流动的快速分析。所导出的误差估计量适用于受Dirichlet或Neumann边界条件约束的几何细节，并且对外边界条件没有特殊要求。大量的数值算例证明了该误差估计方法的有效性和高效性。AMS学科分类：35Q30, 49M05, 76D05
Removing geometric details from the computational domain can significantly reduce the complexity of downstream task of meshing and simulation computation, and increase their stability. Proper estimation of the sensitivity analysis error induced by removing such domain details, called defeaturing errors, can ensure that the sensitivity analysis fidelity can still be met after simplification. In this paper, estimation of impacts of removing arbitrarily constrained domain details to the analysis of incompressible fluid flows is studied with applications to fast analysis of incompressible fluid flows in complex environments. The derived error estimator is applicable to geometric details constrained by either Dirichlet or Neumann boundary conditions, and has no special requirements on the outer boundary conditions. Extensive numerical examples were presented to demonstrate the effectiveness and efficiency of the proposed error estimator. AMS subject classifications: 35Q30, 49M05, 76D05