DPLR隐格式在多块结构网格的计算实现  

Computing implementation of DPLR implicit scheme on multi-block structured grid

作　　者：党雷宁 白智勇[1] 柳森[1] DANG Leining;BAI Zhiyong;LIU Sen(Hypervelocity Aerodynamics Institute of China Aerodynamics Research and Development Center,Mianyang 621000,China)

机构地区：[1]中国空气动力研究与发展中心超高速空气动力研究所,四川绵阳621000

出　　处：《空气动力学学报》2018年第5期891-899,共9页Acta Aerodynamica Sinica

基　　金：国家重点基础研究发展计划(2014CB744100);国家自然科学基金(11325212;91530319)

摘　　要：利用DPLR隐格式收敛快、适于并行计算的特点,结合DPLR在多块结构网格的对接边界处理,提出了一种隐式对接边界条件数学模型与数值处理方法。以二维和三维球头绕流为算例,研究了网格分块方式对DPLR隐式算法稳定性和收敛性能的影响。通过返回舱复杂绕流问题数值模拟、气动特性检验分析以及与风洞试验对比,考察了算法在复杂外形数值模拟中的能力和高收敛性能特点:在非求解方向上进行网格分块,不会对DPLR算法的收敛性能产生影响;而在求解方向上进行网格分块,特别是分块位置在边界层内,会降低算法的稳定性和收敛性;提出的隐式对接边界条件处理方法,能改善在求解方向上进行网格分块造成的算法稳定性和收敛性能下降的问题。DPLR算法结合隐式对接边界条件能够成功应用于类返回舱外形体复杂流动数值模拟,且收敛速度较快。The DPLR implicit scheme has wide applications in computational fluid dynamics(CFD),because of its rapid convergence feature and flexibility for parallel computation.After the invention of DPLR by Wright M.J.,its performance on multi-block structured grid has not been studied in open papers.This issue is studied as follows.Firstly,an implicit boundary condition at the interface of multi-block grids is proposed in the finite volume method(FVM)framework for Navier-Stokes equations.Secondly,the influence of grid block partition manner on the stability and convergence performance is investigated according to the numerical simulations of the flows around 2D and 3D sphere.Finally,the flow around reentry capsule,a more complex geometry is computed with more complex multi-block grid topology.The aerodynamic performance of the capsule is computed and compared with the corresponding wind tunnel test result.In addition,the simulation capability of the algorithm for complex flow is examined by the computed capsule flowfield.If grid blocks are split along solving line of DPLR,especially in the interior of boundary layer,the stability and convergence rate decrease.However,the split lines have no influence if they are in other directions.Furthermore,applications of implicit boundary conditions at the interface are helpful in improving the stability and convergence rate of the algorithm.It is also showed that DPLR combined with the implicit boundary condition at interface is capable of simulating flows around complex shape with rapid convergence rate.

关 键 词：返回舱 收敛性能 DPLR 多块对接结构网格 稳定性 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]