1997.9-2002.7: Doctor of Engineering, in Fluid Mechanics, Department of Engineering Mechanics, Tsinghua University

1992.9-1997.7: Bachelor of Engineering, in Engineering Mechanics, Department of Engineering Mechanics, Tsinghua University

2008.12-present: Associate Professor, Department of Engineering Mechanics, Tsinghua University

2004.11-2008.12: Lecturer, Department of Engineering Mechanics, Tsinghua University

2002.9-2004.11: Postdoctor, Department of Engineering Mechanics, Tsinghua University

Visiting Positions

2010.9-2011.1; 2007.12-2008.3: Visiting Scholar, Department of Mathematics, The Hong Kong University of Science and Technology

2003.10-2004.1: Research Associate, Department of Mathematics, The Hong Kong University of Science and Technology

2003.1-2003.4: Research Assistant, Department of Civil Engineering, The Hong Kong University of Science and Technology

2007-present: Committee Member, Beijing Workshop on Computational Fluid Dynamics

2010-2021: Committee Member, Computational Fluid Dynamics Committee of Chinese Aerodynamics Research Society of China

2011-2020: Committee Member, Chinese Association of Computational Mechanics

2023-present: Council Member, Beijing Society of Thermophysics and Energy Engineerin

2014-present: Senior Member, AIAA

2021-present: Editorial Board Member, International Journal of Modeling, Simulation, and Scientific Computing

Computational Fluid Dynamics, Turbulence, Hypersonic Gas Dynamics, Rarefied Gas Dynamics, Multimaterial Flow

Currently professor Li is mainly interested in the development of modern Computational Fluid Dynamics (CFD) method, especially the gas-kinetic BGK scheme (GKS), and numerical study of turbulence, rarefied gas flow and multimaterial flow problems. Different from traditional CFD method directly based on macroscopic transport equations, GKS is a new method, which was originally developed by K. Xu from HKUST, based on mesoscopic gas-kinetic theory. Due to its strong physical basis, GKS has shown good performance in many fields, especially for flow with high Mach number or nonequilibrium phenomena. For multiscale flow, the kinetic numerical model can be directly constructed in the discrete space, and then the new CFD method with high efficiency can be developed based on its cross-scale evolution solution. Thus the continuous transition of physical/numerical models for different scales can be achieved. It is a model self-adaptation based on computational mesh resolution.

Existing studies:

1) The development of various gas-kinetic schemes on structured and unstructured meshes, as well as the corresponding high-order compact reconstruction, efficient parallel, implicit and space-time adaptive mesh refinement techniques, with strong robustness, high efficiency and high accuracy, and suitable for unsteady and steady flows ranging from near incompressible to hypersonic.

2) The improvement of efficient unified gas-kinetic scheme for steady and unsteady rarefied gas flows in the whole regime, including the adaptive mesh refinement in velocity space, the highly efficient parallel in both space and time for large scale computations such as 2.9 trillion.

3) The development of GKS for high-speed multimaterial flows, including the kinetic flux solver for stiffened gas and corresponding space-time adaptive mesh refinement technique, with high resolution, efficiency and robustness in flows containing strong shock waves and large density ratios.

4) The turbulence simulation based on gas-kinetic theory, such as the direct simulation with GKS for low Reynolds number flow and the engineering simulation of high Reynolds number flow based on the combination of GKS with turbulence/transition models. A multiscale method for efficient turbulence simulation is developed with smooth turbulence model adaption.

5) Numerical simulation of various complicated flows, such as shallow water, hypersonic flow and high-speed multimaterial flow.

Ongoing researches:

1) High order accurate and efficient CFD scheme in the whole flow regime

2) Compressible turbulence and transition flow

3) High-speed multimaterial flow

[1] C. Zhang, Q.B. Li, Z.J. Wang, J. Li, S. Fu, A two-stage fourth-order gas-kinetic CPR method for the Navier-Stokes equations on triangular meshes. J. Comput. Phys., 451:110830 (2022)

[2] C. Zhang, Q.B. Li, P. Song, J. Li, Two-stage fourth-order gas kinetic solver-based subcell finite volume method on hexahedral meshes for compressible flows. Phys. Fluids, 34:086110 (2022)

[3] C. Zhang, Q.B. Li, A third-order subcell finite volume gas-kinetic scheme for the Euler and Navier-Stokes equations on triangular meshes. J. Comput. Phys., 436:110245 (2021)

[4] C. Zhang, Q.B. Li, P. Song, J. Li, Two-stage fourth-order gas kinetic solver-based compact subcell finite volume method for compressible flows on triangular meshes. Phys. Fluids, 33:126108 (2021)

[5] Q.B. Li, An improved gas-kinetic scheme for multimaterial flows. Commun. Comput. Phys., 27(1):145-166 (2020)

[6] B. Yan, Q.B. Li, X. Li, S. Huang, W. Wang, S. Fu, Numerical study of the slip line instabilities in shock-wavywall reflection (in Chinese). Sci Sin-Phys Mech Astron, 50: 104709 (2020)

[7] Q.B. Li, A gas-kinetic Riemann solver for stiffened gas interface and its application in multimaterial flows. Commun. Comput. Phys., 25, 416-447 (2019)

[8] S. Tan, Q.B. Li, Z.X. Xiao, S. Fu, Gas kinetic scheme for turbulence simulation. Aerosp. Sci. Technol., 78, 214-227 (2018)

[9] C. Zhang, Q.B. Li, S. Fu, Z.J. Wang, A third-order gas-kinetic CPR method for the Euler and Navier–Stokes equations on triangular meshes. J. Comput. Phys., 363, 329-353 (2018)

[10] S.Y. Li, Q.B. Li, S. Fu, K. Xu, A unified gas-kinetic scheme for axisymmetric flow in all Knudsen number regimes. J. Comput. Phys., 366, 144-169 (2018)

[11] S.Y. Li, Q.B. Li, Thermal non-equilibrium effect of small-scale structures in compressible turbulence. Mod. Phys. Lett. B, 32, 1840013 (2018)

[12] S.Y. Li, C. Zhang, S. Tan, Q.B. Li, S. Fu, Gas-kinetic scheme and its applications in re-entry flows (in Chinese), Acta Aerodynamica Sinica, 36(5), 885-890 (2018)

[13] S. Tan, Q.B. Li, Time-implicit gas-kinetic scheme. Comput. Fluids, 144, 44-59 (2017)

[14] S. Tan, Q.B. Li, A high-resolution gas-kinetic scheme with minimized dispersion and controllable dissipation reconstruction. Sci. China-Phys. Mech. Astron., 60(11), 114713 (2017)

[15] Z. Wang, H. Yan, Q.B. Li, K. Xu, Unified gas-kinetic scheme for diatomic molecular flow with translational, rotational, and vibrational modes, J. Comput. Phys., 350:237-259 (2017)

[16] S. Tan, S.Y. Li, Q.B. Li, S. Fu, Gas-kinetic scheme and numerical simulation of multiscale flows (in Chinese), Chin. J. Comput. Mech., 34(1), 88-94 (2017).

[17] K. Xu, Q.B. Li, Z.W. Li, Direct modeling-based computational fluid dynamics (in Chinese), Sci. Sin-Phys. Mech. Astron., 44(5):519-530（2014）

[18] Q.B. Li, Song Fu, High-order accurate gas-kinetic scheme and turbulence simulation (in Chinese), Sci. Sin-Phys. Mech. Astron., 44(3):278-284（2014）

[19] Q.B. Li, K. Xu, Progress in gas-kinetic scheme (in Chinese), Advances in Mechanics, 42(5):522-537 (2012)

[20] J.Q. Li, Q.B. Li, K. Xu, Comparison of the generalized Riemann solver and the gas-kinetic scheme for inviscid compressible flow simulations, J. Comput. Phys., 230:5080-5099 (2011)

[21] Q.B. Li, S. Fu, A gas-kinetic BGK scheme for gas-water flow, Comput. Math. Appl., 61：3639-3652 (2011)

[22] Q.B. Li, K. Xu, S. Fu, A high-order gas-kinetic Navier-Stokes flow solver, J. Comput. Phys., 229:6715-6731 (2010)

[23] S.X. Feng, Q.B. Li, S. Fu, On the orbital motion of a rotating inner cylinder in annular flow. Int. J. Numer. Meth. Fluids, 54:155-173 (2007)

[24] Q.B. Li, S. Fu, On the multidimensional gas-kinetic BGK scheme, J. Comput. Phys., 220:532-548 (2006)

[25] Q.B. Li, S. Fu, Applications of implicit BGK scheme in near-continuum flow, Int. J. Comput. Fluid Dyn., 20(6):453-461 (2006)

[26] S. Fu, Q.B. Li, Numerical simulation of compressible mixing layers, Int. J. Heat Fluid Flow, 27:895-901 (2006)

[27] M.S. Ghidaoui, A.A. Kolyshkin, J.H. Liang, F.C. Chan, Q.B. Li, K. Xu, Linear and nonlinear analysis of shallow wakes. J. Fluid Mech., 548:309-340 (2006)

[28] Q.B. Li, S. Fu, K. Xu, Application of gas-kinetic scheme with kinetic boundary conditions in hypersonic flow, AIAA J., 43(10):2170-2176 (2005)

[29] Q.B. Li, S. Fu, K. Xu, A compressible Navier-Stokes flow solver with scalar transport, J. Comput. Phys., 204:692-714 (2005)

[30] Q.B. Li, S. Fu, Numerical simulation of high-speed planar mixing layer. Compu. Fluids, 32:1357-1377 (2003)

[31] Q.B. Li, H.X. Chen, S. Fu, Large-scale vortices in high-speed mixing layers. Phys. Fluids, 15:3240-3243 (2003)

[32] S. Fu, Q.B. Li, M.H. Wang, Depicting vortex stretching and vortex relaxing mechanisms. Chin. Phys. Lett., 20(12):2195-2198 (2003)