基于线性弹性体的网格变形方法研究

Study on Linear Elastic Solid Based Grid Deformation Method

网格变形方法在计算流体力学的各个方面都发挥着极其重要的作用,是各种应用问题解决方案的基本组成部分。研究和实现了基于线性弹性体的网格变形方法,对基于弹性体法的网格变形方法进行了综述,从弹性方程理论、高效求解方法等方面进行了介绍,给出了方法的最优参数选择,并从基本变形能力、多段翼型设计、非定常动态特性模拟等方面,展示基于线性弹性体网格变形方法的研究和应用进展。结果表明:实现的线弹性体网格变形方法特别善于处理几何大变形,尤其是网格扭转比较大的应用,并且变形后网格品质高、鲁棒性强。

Grid deformation methods play an extremely important role in Computational Fluid Dynamics（ CFD）,and also are the fundamental component of many application problems. This paper presents the study and implementation of linear elastic solid based grid deformation method. Research progress,theoretic formulation and program implementation are talked; the most optimization parameters are also given.Verification and validation solutions range from basic deformation capability,multi-element airfoil design to unsteady dynamic performance are presented. Solutions show that： linear elastic solid based grid deformation method well suited for large geometry change,especially for applications with big grid torsion,and produce high quality＇s deformed grid,meanwhile this method is very robust.