Application strategy and improvement of unstructured dynamic grid method based on elasticity analogy
-
摘要: 针对3种代表性的经典弹性体动网格方法,从网格最大变形能力、质量评价指标和空间分布趋势3个方面综合分析了各方法的网格变形特性,重点总结了各方法的适用范围.结合工程实际,研究了特定问题的弹性体动网格应用策略.最后,整合各经典弹性体动网格方法的优势提出了改进方法,并通过NACA 0006翼型的超声速俯仰振荡加以验证.研究结果表明:基于面积的弹性体法适用于加密型网格,而基于距离的弹性体法适用于均匀型网格,该应用策略可为工程问题提供指导.改进方法效果明显,在大变形时相对基于距离的弹性体法的各项网格质量增幅均在10%以上,相对基于面积的弹性体法的最小网格质量增幅几乎达到4倍,并且在数值模拟中具有较高的精度,可显著增强弹性体法的鲁棒性.Abstract: Taking the field of application as a focal point, three classical dynamic grid methods based on elasticity analogy were analyzed in many ways, such as deformation capability, deformation quality and spatial distribution. Combined with engineering demand, the application strategy for grid deformation was presented. Finally, a improvement was proposed for integrating advantages of classical dynamic grid methods based on elasticity analogy, and then verified through pitch oscillation of NACA 0006 airfoil in hypersonic condition. Results show that, when faced with densified grids, the area modification can be controlled better, but faced with uniform grids, the distance modification is more suitable, so this application strategy can provide a guidance for engineering. Secondly, the improvement is accurate in simulation, its all grid quality parameters exceed 10% than classical method based on distance, whats more, its minimum grid quality parameter is about four times the classical method based on area. In conclusion, the improvement is effective in strengthening the robustness of classical elasticity analogy.
-
Key words:
- dynamic grid /
- elasticity analogy /
- unstructured grid /
- application strategy /
- weighted improvement
-
[1] 张伟伟,高传强,叶正寅.气动弹性计算中网格变形方法研究进展[J].航空学报,2014,35(2):303-319.ZHANG Weiwei,GAO Chuanqiang,YE Zhengyin.Research progress on mesh deformation method in computational aeroelasticity[J].Acta Aeronautica et Astronautica Sinica,2014,35(2):303-319.(in Chinese) [2] 朱冰,祝小平,周洲,等.基于非结构动网格的多体分离数值仿真研究[J].空气动力学学报,2013,31(2):181-185.ZHU Bing,ZHU Xiaoping,ZHOU Zhou,et al.Simulation of unsteady multi-body flowfield involving relative movement based on unstructured mesh[J].Acta Aerodynamica Sinica,2013,31(2):181-185.(in Chinese) [3] 王军利,白俊强,詹浩.非结构动网格在三维可动边界问题中的应用研究[J].航空计算技术,2005,35(3):12-16.WANG Junli,BAI Junqiang,ZHAN Hao.Dynamic unstructured grids method with applications to unsteady flows invoving moving boundaries[J].Aeronautical Computer Technique,2005,35(3):12-16.(in Chinese) [4] Yang Z,Mavriplis D J.Unstructured dynamic meshes with higher-order time integration schemes for the unsteady Navier-Stokes equations[R].AIAA-2005-1222,2005. [5] 周璇,李水乡,孙树立,等.非结构网格变形方法研究进展[J].力学进展,2011,41(5):547-561.ZHOU Xuan,LI Shuixiang,SUN Shuli,et al.Advances in the research on unstructured mesh deformation[J].Advances in Mechanics,2011,41(5):547-561.(in Chinese) [6] Tezduyar T E.Stabilized finite element formulations for incompressible flow computations[J].Advances in Applied Mechanics,1992,28(1):1-44. [7] Johnson A A,Tezduyar T E.Simulation of multiple spheres falling in a liquid-filled tube[J].Computer Methods in Applied Mechanics and Engineering,1996,134(3/4):351-373. [8] Johnson A A,Tezduyar T E.Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces[J].Cognitive Systems,1994,119(1/2):73-94. [9] Behr M,Tezduyar T.The shear-slip mesh update method[J].Computer Methods in Applied Mechanics and Engineering,1999,174(3/4):261-274. [10] Lhner R.Adaptive remeshing of transient problems[J].Computer Methods in Applied Mechanics and Engineering,1989,75(1/2/3):195-214. [11] Stein K,Tezduyar T E,Benney R.Automatic mesh update with the solid-extension mesh moving technique[J].Computer Methods in Applied Mechanics and Engineering,2004,193(21/22):2019-2032. [12] Cavallo P A,Sinha N,Feldman G M.Parallel unstructured mesh adaptation for transient moving body and aeropropulsive applications[R].AIAA-2004-1057,2004. [13] Nielsen E J,Anderson W K.Recent improvements in aerodynamic design optimization on unstructured meshes[J].AIAA Journal,2002,40(6):1153-1163. [14] Bkaer T J.Mesh movement and metamorphosis[J].Engineering with Computers,2002,18(3):188-198. [15] 吴家龙.弹性力学[M].北京:高等教育出版社,2009. [16] Lhner R.Applied computational fluid dynamics techniques-an introduction based on finite element methods[M].Fairfax,US:John Wiley and Sons Limited,2008. [17] Deconinck H,Dick E.Computational fluid dynamics[M].Berlin:Springer,2006:401-406. [18] Stein K,Tezduyar T,Benney R.Mesh moving techniques for fluid-structure interactions with large displacements[J].Journal of Applied Mechanics,2003,70(1):58-63. [19] 刘瑜.量热完全气体/化学非平衡气体流动ALE有限体积计算方法研究[D].长沙:国防科学技术大学,2014.LIU Yu.Numerical research of ALE finite volume method for calorically perfect gas/chemical nonequilibrium gas flow[D].Changsha:National University of Defense Technology,2014.(in Chinese) [20] Baker T,Cavallo P.Dynamic adaptation for deforming tetrahedral meshes[R].AIAA 99-3253,1999. [21] 高传强,张伟伟,蒋跃文,等.两种典型非结构网格变形方法特性对比研究[J].航空工程进展,2014,5(2):212-219.GAO Chuanqian,ZHANG Weiwei,JIANG Yuewen,et al.A comparative study on two typical unstructured grid deformation methods[J].Advances in Aeronautical Science and Engineering,2014,5(2):212-219.(in Chinese) [22] 郭正,李晓斌,瞿章华,等.用非结构动网格方法模拟有相对运动的多体绕流[J].空气动力学学报,2001,19(3):310-316.GUO Zheng,LI Xiaobin,QU Zhanghua,et al.Simulation of flows past multi-body in relative motion with dynamic unstructured method[J].Acta Aerodynamica Sinica,2001,19(3):310-316.(in Chinese) [23] 胡世良,鲁传敬,何友声.平板流固耦合振动的数值分析[J].上海交通大学学报,2013,47(10):1487-1493.HU Shiliang,LU Chuanjing,HE Yousheng.Numerical analysis of fluid-structure interaction on vibration for plate[J].Journal of Shanghai Jiao Tong University,2013,47(10):1487-1493.(in Chinese) [24] Liaghat T,Guibault F,Nennemann B,et al.Two-way fluid-structure coupling in vibration and damping analysis of an oscillating hydrofoil[R].International Mechanical Engineering Congress and Exposition,IMECE 2004-38441,2004. [25] 王军利.基于非结构动网格的非定常气动力计算[D].西安:西北工业大学,2005.WANG Junli.Calculation of unsteady aerodynamic based on unstructured dynamic grid.[D].Xian:Northwestern Polytechnical University,2005.(in Chinese)
点击查看大图
计量
- 文章访问数: 906
- HTML浏览量: 3
- PDF量: 460
- 被引次数: 0