(1) 高精度数值模拟方法与应用方面：针对加权本质无波动（WENO）格式临界点降阶问题，提出区间临界点精度分析方法，分别基于映射函数法和WENO-Z类方法开展格式精度分析，发展了具有增强鲁棒性和分辨率的尺度无关临界点精度保持三阶WENO3-PRM和WENO3-ZES系列格式，其在典型验证问题及多个工程项目中得到应用并取得较好的结果；此外还开展了时间格式分析以及线性、非线性高阶格式迎风型自由流保持研究，发展构造方法并提出系列新格式。
(2) 高超声速复杂物理化学效应耦合、高温气体辐射研究与应用方面：针对高超声速飞行中复杂物理化学效应下的气动力/热预示问题，耦合考虑热（双/三温度）化学非平衡效应、壁面有限催化效应以及壁面氧化效应，发展了高超声速多物理场耦合模拟方法并通过典型高超声速气动力/热预示问题验证，在高超声速气动力热工程预示中开展应用并取得较好结果。在此基础上，与多温度尤其是包含电子温度的三温度模型结合，实现高温气体逐线辐射计算并开展返回舱、高超飞行器等工程问题辐射预示应用。
(3) 基于NSF的稀薄空气动力学研究与应用方面：针对稀薄效应问题，基于NSF开展了速度滑移和温度跳跃边界条件的研究与应用。一方面采用Maxwell-Smoluchowski模型开展大量工程应用，给出高超滑移流动的气动预示；另一方面采用Le滑移边界模型发展的滑移流动计算新模型，系统开展关于滑移速度、跳跃温度等的验证与比较研究，并针对高超声速实际问题中开展应用。
(4) 考虑真实气体效应的宽速域乘波体优化设计方面：针对高超声速乘波体所面临的复杂飞行环境问题，开展了考虑平衡气体效应的特征线方法研究，结合变马赫数密切锥类方法分析了不同气体模型对宽速域乘波体几何构型与气动特性的影响，并进一步针对马赫数离散方式提出参数化的有理函数，获得了具有较高升阻比与容积率的乘波体外形。针对乘波体尖前缘高热流和法向一致性钝化引发外形变形问题，提出底部型线曲率修正和局部非一致钝化方法给予解决。针对外形优化中CFD计算代价高、算法可能陷入局部最优问题，发展结合贝叶斯理论的启发式（粒子群/遗传）算法并完成RAE2822翼型的优化验证。此外，为了在外形优化中进行气动力快速预示，基于响应面模型发展了改进的达西姆-巴克公式，其具有比切锥法和修正牛顿公式更好的准确度。
(5) 高超声速复杂流动机理与控制方面：复杂流动数值模拟和机理分析方面，开展了旋转爆震稳定性研究，提出尾迹不稳定性新机制；针对高超声速激波-激波和激波-边界层干扰典型问题，深入研究了二、三维激波/边界层干扰以及高超声速控制面复杂流动干扰等问题，提出干扰新模式、获得机理新认识。流动控制方面，开展了高空高速条件下气膜控制减阻降热研究，获得喷孔形状、排布方式、流动参数对减阻降热的影响机理以及喷孔优化新认识。
近期论文:
1. Mengyu Wang, Pan Yan, Qin Li(*), et al. Comparative analysis of models for a hypersonic cone at high altitude: Equilibrium and non-equilibrium predictions, Aerospace Science and Technology, 178 (2026) 112335.
2. Xiuzheng Cheng, Mengyu Wang, Qin Li(*) et al. Numerical study of friction reduction and underlying mechanism of air film via parallel and tandem injections on a hypersonic flat plate at high altitude, Aerospace Science and Technology, 176(2026) 112148.
3. 程修正、李沁(*) 等，高空高超平板串并列喷孔气膜减阻降热交错排布方式研究，北京航空航天大学学报，22(1) 2026。
4. 张鑫泽，李沁(*) 等，不同来流下双楔定常/非定常流动的模拟分析与流态预测，北京航空航天大学学报，52(1)，2026。
5. Qin Li(*) et al. Improvements to enhance robustness of third-order scale-independent WENO-Z schemes, Advances in Applied Mathematics and Mechanics, 17(2) (2025): 373-406.
6. Qin Li(*) et al. Numerical studies on steady interaction of low enthalpy hypersonic double wedge flows using different gas models, Aerospace Science and Technology, 162 (2025) 110171.
7. Mengyu Wang, Yi Duan, Qin Li(*) et al. Design of a variable-Mach-number waverider by the osculating-curved-cone method using a rational distribution function and incorporating the equilibrium-gas model, Acta Astronautica, 235 (2025): 673–690.
8. Yuhui Huang, Qin Li(*) et al. A method for evaluating the time-averaged and unsteady characteristics of flow loss in axial compressors, International Journal of Turbo & Jet-Engines, 42(3) 2025.
9. 严攀, 李沁(*) 等. 不同气体模型与滑移边界模型下升力体摩阻热流预示研究. 北京航空航天大学学报, 51(4), 2025: 1277-1291。
10. Yuhui Huang, Qin Li(*) et al. Numerical analysis of the influence of high-altitude and low Reynolds number effects on axial transonic compressor, Advances in Aerodynamics 7 (2025):14.
11. Yihui Weng, Qin Li(*) and at el., Numerical investigations on interactions between 2D/3D conical shock wave and axisymmetric boundary layer at Ma=2.2, Aerospace Science and Technology, 144 (2024) 108769.
12. 林鹭颖，李沁(*)等，考虑平衡气体效应的乘波体特征线设计方法及气体模型影响，南京航空航天大学学报，56(1), 2024。
13. 杨柳青，李沁(*)等，斜激波与轴对称边界层干扰的数值模拟研究，气体物理，8(1)，2023。
14. Qin Li(*) and at el., Third-order scale-independent WENO-Z scheme to achieve optimal order at critical points, Computers and Fluids 249 (2022) 105703.
15. 杨柳青，李沁(*)等，圆锥激波与平板边界层干扰的数值模拟研究，南京航空航天大学学报，54(4)，2022。
16. Fengyuan Xu, Pan Yan, Qin Li(*) et al. Quasi linear analysis of dispersion relation preservation for nonlinear schemes. Advances in Aerodynamics, 2022, 4:14.
17. Qin Li, Dong Sun et al. Nonlinear Upwind-Biased Free-Stream-Preserving Schemes for Compressible Euler Equations, Journal of Scientific Computing, 91(3), 2022.
18. Qin Li, et al. On developing piecewise rational mapping with fine regulation capability for WENO schemes, Journal of Scientific Computing, 88(3), 2021.
19. Qin Li, Dong Sun and Fengyuan Xu, WENO Interpolation-Based and Upwind-Biased Free-Stream Preserving Nonlinear Schemes, Advances in Applied Mathematics and Mechanics, 13(6), 2021.
20. Pengxin Liu, Qin Li, Hanxin Zhang, Interpretation of wake instability at slip line in rotating detonation, International Journal of Computational Fluid Dynamics, 32, 2018.
21. Qin Li, Pengxin Liu, Hanxin Zhang, Further investigations on the interface instability between fresh injections and burnt products in 2-D rotating detonation, Computers & Fluids, 170, 2018.
22. 刘朋欣、李沁、张涵信，初始点火条件引起的三维旋转爆震波单、双波传播模式研究，气体物理，3，2018。
23. Qin Li, Qilong Guo, Dong Sun, Pengxin Liu, Hanxin Zhang, A fourth-order symmetric WENO scheme with improved performance by new linear and nonlinear optimizations, Journal of Scientific Computing, 71, 2017.
24. Qin Li, Dong Sun, Pengxin Liu, Further study on errors in metric evaluation by linear upwind schemes with flux splitting in stationary grids, Communications in Computational Physics, 22(1), 2017.
25. C. Li, G-L. Guo, Q. Li, H-X. Zhang, Hypersonic shock wave /boundary layer interactions by a third-order optimized symmetric WENO scheme, Transactions of Nanjing University of Aeronautics & Astronautics, 34 (5), 2017.
26. H-X. Zhang, L-P Zhang, S-H. Zhang, Q. Li, Some recent progress of high-order methods on structured and unstructured grids in CARDC, Computers & Fluids, 154, 2017.
27. 刘朋欣、李沁，张涵信，基于映射函数的中心型三阶格式，空气动力学学报，35（1），2017。
28. Y. Yan, L. Chen, Q. Li. C. Liu, Numerical study of micro-ramp vortex generator for supersonic ramp flow control at Mach 2.5, Shock Waves, 27, 2017.
29. Zhang S H, Li Q, Zhang L P, Zhang H X，The History of CFD in China，34 (2)，空气动力学学报，2016。
30. Qin Li, Yonghua Yan, Chaoqun Liu, and Frank Lu, Separation Topology of Microramp Vortex Generator Controlled Flow at Mach Number 2.5, JOURNAL OF AIRCRAFT, 52 (6), 2015.
31. Qin Li, Pengxin Liu and Hanxin Zhang, Piecewise Polynomial Mapping Method and Corresponding WENO Scheme with Improved Resolution, Communications in Computational Physics, 18(5), 2015.
32. Qin Li, Qilong Guo and Hanxin Zhang, Analyses of the Dispersion Overshoot and Inverse Dissipation of the High-Order Finite Difference Scheme. Advances in Applied Mathematics and Mechanics, Vol. 5, No. 6, 2013.
33. LI Qin, SUN Dong & ZHANG HanXin, Detached-eddy simulations and analyses on new vortical flows over a 76/40° double delta wing. SCIENCE CHINA Physics, Mechanics & Astronomy, Vol.56, No. 6, 2013.
34. Dong Sun, Qin Li, Hanxin Zhang, Detached-eddy simulations on massively separated flows over a 76/40° double-delta wing. Aerospace Science and Technology, 30, 2013.
35. Guo Qilong, Li Qin, Zhang Hanxin, Investigation on boundary condition of acoustic computation. Transactions of Nanjing University of Aeronautics & Astronautics, Vol. 30, No. S, 2013.
36. 李沁、孙东、郑永康、张涵信，一类中心三阶格式及应用, 空气动力学学报，31（4），2013。
37. 孙东、陈江涛、李沁、张涵信，混合型三阶格式及关于两种DES算法的比较计算研究. 空气动力学学报，31（4），2013。
38. 李沁、张涵信，超声速钝锥三维分离条件的数值分析，空气动力学学报，31（6），2013。
39. Frank K. Lu, Qin Li, Chaoqun Liu. Micro vortex generators in high-speed flow. Progress in Aerospace Sciences, 53, 2012.
40. Yan, Yonghua; Li, Qin; Liu. Chaoqun, Numerical discovery and experimental confirmation of vortex ring generation by microramp vortex generator, APPLIED MATHEMATICAL MODELLING, 36, 11, 2012.
41. 张涵信、张树海、田浩、张来平、李沁，三维可压缩非定常的壁面分离判据及其分离线附近的流动形态，空气动力学学报，30（4），2012。
42. Wei Zhao, Qixiang Han, Qin Li, Experimental study on flame propagation in multi-cycle pulse detonation engine with hot jet ignition, 21ST AIAA International Space Planes and Hypersonic Systems and Technologies Conference, 2017, Xiamen; AIAA 2017-2391. (EI: 20171603581764)
出版物：
1. Chaoqun Liu，Qin Li, et al.，High Order Large Eddy Simulation for Shock-Boundary Layer Interaction Control by a Micro-ramp vortex Generator - Frontiers in Aerospace Science volume2，BENTHAM SCIENCE PUBLISHERS LTD. (ISBN: 978-1-68108-598-2, ISSN: 2468-4724)
