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基于预处理方法的风与膜结构流固耦合效应研究

DOI: 10.13197/j.eeev.2014.02.71.sunfj.010, PP. 71-78

Keywords: 预处理方法,膜结构,流固耦合,广义极小残余法,强耦合整体方法

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Abstract:

采用强耦合整体方法求解风与膜结构的流固耦合作用在精度和稳定性方面都具有优势,但求解强耦合整体方程时的巨大机时耗费成为了限制其应用的主要问题之一。本文提出采用预处理的方法处理Newton-Raphson方法线性化后的强耦合整体方程,以改善矩阵的条件数,提高计算效率和精度。强耦合整体方程中采用了线弹性有限元模型处理流体域的变形,结合强耦合整体方程,在雅可比矩阵中使用块状结构,推导了指定边界条件的线弹性模型预处理矩阵以及强耦合整体方程的预处理矩阵。基于广义极小残余法(generalizedminimumresidual,简称GMRES),给出了采用预处理的强耦合整体方法的求解步骤。最后将该方法应用于风与膜结构的流固耦合分析,比较了采用预处理前后的相关参数变化,结果表明采用预处理方法后计算精度和效率大大提高,计算时间节约40%以上。结果表明预处理方法在强耦合整体方法中的采用是稳定有效的。

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