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作 者:卢俊宇 徐春光 陈洁 刘君[2] 王元靖[3] Lu Junyu;Xu Chunguang;Chen Jie;Liu Jun;Wang Yuanjing(Sun Yat-Sen University,School of Aeronautics and Astronautics,Guangzhou 510275,China;School of Aeronautics and Astronautics,Dalian University of Technology,Dalian 116024,China;China Aerodynamics Research and Development Center,Mianyang 621000,China)
机构地区:[1]中山大学航空航天学院,广东广州510275 [2]大连理工大学航空航天学院,辽宁大连116024 [3]中国空气动力研究与发展中心,四川绵阳621000
出 处:《气动研究与试验》2024年第1期110-118,共9页Aerodynamic Research & Experiment
摘 要:针对混合网格交界面流场信息的计算,本文介绍了一种适用于无序网格点的自由节点差分法,实现了重叠网格交界面流场的差分计算,避免了传统上采用插值方法带来的额外误差。自由节点差分法的计算模板,需要从计算点周围点云中选择合适的邻居节点构成,不同的选点策略会影响计算模板质量,导致计算精度存在差异。超声速流场通常存在强间断,间断处梯度变化剧烈,梯度变化会对计算模板构造产生影响,进而影响流场计算精度。为了在计算模板中反映流场梯度的变化,本文提出了综合考虑流场梯度和网格几何因素的计算模板构造思想,给出了几种具体的选点策略,并采用数值试验对不同策略进行了对比分析,确定了优选方案。数值试验结果表明,相比于只考虑网格几何因素的寻点策略,综合寻点策略具有更高的计算精度,可以作为自由节点差分法计算模板的寻点方法,使自由节点差分法的计算结果更为精准。Aiming at the calculation of the flow field information at the hybrid grid interface,this paper introduces a flexiblenode difference finite method suitable for disordered grid points,which realizes the differential calculation of the flow field at the interface of overlapping grids,avoiding the traditional interpolation method additional errors.The calculation template of the flexible-node finite difference method needs to select the appropriate point composition from the point cloud around the calculation point.Different point selection strategies will affect the quality of the calculation template,resulting in differences in calculation accuracy.There are usually strong discontinuities in the supersonic flow field,and the gradient changes sharply at the discontinuity.The gradient change will affect the structure of the calculation template,and then affect the calculation accuracy of the flow field.In order to reflect the change of the flow field gradient in the calculation template,this paper proposes a calculation template construction idea that comprehensively considers the flow field gradient and grid geometry factors,and gives several specific point selection strategies,and uses numerical experiments to test different strategies.Through comparative analysis,the optimal scheme is determined.Numerical test results show that compared with the point selection strategy that only considers the grid geometry factors,the comprehensive point selection strategy has higher calculation accuracy,and can be used as a point selection method for the calculation template of the flexiblenode finite difference method,resulting in more accurate computational results for the flexible-node finite difference method.
关 键 词:自由节点差分法 DEER算法 计算模板 混合网格 选点策略
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]
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