流固耦合问题中降阶模型的校正研究

发布时间：2018-12-29 08:47

【摘要】：对流体使用降阶模型是流固耦合计算中为提高计算效率常用的手段之一,但采用降阶模型对模型维数的降低,或全阶模型数据与降阶模型方程的不一致性会影响降阶模型的准确性.本文引入人工涡常量和遗传算法对流固耦合问题中降阶模型进行校正研究,首先基于伽辽金投影法和本征正交分解法投射到最主要本征模态空间上,得到流体的降阶模型;然后引入人工"涡"对降阶模型的系数进行校正,最后采用遗传算法对校正模型中的系数进行估计.将本文提出的校正降阶模型应用于典型流固耦合问题分析中,对比了校正前后位移和力的变化,以及校正前后降阶模型的误差变化,结果表明校正后的降阶模型的计算准确性和效率大大提高,证实了降阶模型校正的必要性和本文降阶模型校正方法的有效性.
[Abstract]:The use of reduced order model for fluid is one of the commonly used methods to improve the computational efficiency in fluid-solid coupling calculation, but the dimensionality of the model is reduced by using the reduced order model. Or the inconsistency between full-order model data and reduced-order model equation will affect the accuracy of reduced-order model. In this paper, the reduced order model of convection-solid coupling problem is studied by introducing artificial vorticity constant and genetic algorithm. Firstly, based on Galerkin projection method and eigenorthogonal decomposition method, the reduced order model of fluid is obtained by projecting to the most important eigenmode space. Then artificial vortex is introduced to correct the coefficients of the reduced model, and the genetic algorithm is used to estimate the coefficients of the model. In this paper, the modified reduced order model is applied to the analysis of typical fluid-solid coupling problems. The changes of displacement and force before and after correction and the error changes of reduced-order model before and after correction are compared. The results show that the accuracy and efficiency of the modified reduced model are greatly improved. It is proved that the necessity of order reduction model correction and the effectiveness of this method.
【作者单位】：辽宁工程技术大学建筑工程学院;
【基金】：国家自然科学基金项目(51108345) 同济大学土木工程防灾国家重点实验室开放基金项目(SLDRCE-MB-04) 辽宁省教育厅基金一般项目(L2013134)
【分类号】：TU311

【共引文献】