Jiequan Li

Professor, Chief of Multi-Medium Fluid Dynamics with Large Deformation; Institute of Applied Physics and Computational Mathematics, Beijing

Contact Information

Email: li_jiequan@iapcm.ac.cn

Tel: 86-10-61935465

Homepage：http://math0.bnu.edu.cn/~lijiequan

Education
Ph.D, Institute of Mathematics, Chinese Academy of Sciences, China, 1997.

MSc Department of Mathematics, Beijing Normal University, 1994.

Research Areas

• Computational Fluid Dynamics (CFD)
• Numerical Analysis
• Partial Differential Equations

1. Brief of Research Fields

2. • Computational Fluid Dynamics (CFD)

     Facing the aerospace, weapon physics and other engineering applications, we strive to develop high order accurate numerical methods with high fidelity and excellent performance. The background problems include those in compressible fluid flows, detonation, elasto-plastic materials, signal transmission, and interfacial instability of multi-medium fluids. Specifically, they are:high order accurate numerical methods for compressible fluid flows, including finite volume/finite difference, discontinuous finite element method and so on; Direct numerical modeling of multi-material fluid flows ranging from mesoscopic to macroscopic levels; The formation mechanism of compressible turbulences and large-scale numerical simulation. The team members have close cooperation with many top experts from United States, Germany, Switzerland, France, Italy, Israel, Japan and Hongkong. Biennial international conferences and annual small-scale workshops are organized to promote the cooperation of colleagues and exchange of innovative ideas.

   •  Numerical analysis

     Numerical analysis is an important means to understand and evaluate numerical methods, and is also the basis for designing numerical methods with high fidelity. In this field, we are committed to analyze the stability of various new numerical methods; demonstrate the preservation of physical properties of numerical methods for complex physical models.

   • Partial differential equation

     Based on the inviscid Euler equations and the BGK model, the flow structures of compressible flows are analyzed and and the stability of various nonlinear waves (shocks, slip surfaces, detonation waves, Delta waves, etc.) is studied. Specifically, there are: The two dimensional Riemann problem for compressible Euler equations and the interaction of multidimensional nonlinear waves.Wellposedness of mathematical models of rarefied gases and continuum.Mathematical Reviews of the American Mathematical Society evaluated the team in this field as "Chinese School of Mathematics".

   •  

     Grants and Awards

   •  
   • Special Subsidy awarded by the State Council of China (2008).
   • The 9th Ying-Tung Huo (Research) Award (second class) for Excellent Young Teachers
   • in Universities/Colleges, 2006.
   • Alexander von Humboldt Research Fellow, IAN, Magdeburg University (2004/2005).
   • The First-class Prize of Beijing Sciences & Technology Award (2003)
   • Lady Davis & Golda Meir Research Fellowship, Hebrew University of Jerusalem (2001,2002)

   •  

   • Some Selected Research Grants

   • NSFC (PI, 11771054), The Generalized Riemann Problem Methods for Multi-material Fluid Dynamics 01/2018/01-12/2021.
   • NSFC (PI, 11371063), Genuinely Multi-dimensional Generalized Riemann Problem Solvers and Their Applications, 01/2014—12/2017.
   • NSFC (co-PI, 11031001), Key Program for Nonlinear Partial Differential Equations of Hyperbolic and Mixed-types, 01/2011—12/2014/12.
   • NSFC(co-PI, 91130021), Key Program of NSFC, Genuinely M-D Numerical Methods with High Fidelity for Multi-Material Flows with Large Deformation, 01/ 2012—12/2014/12.
   • NSFC(PI, 10971142), Self-similar Solutions to M-D Compressible Euler Equations, 01/2010—12/2012/12.
   • Subproject from 973 Key Project (2006CB805902), Partial Differential Equations in Fluid Dynamics and Material Sciences, 01/2007—12.2010.
   • NSFC for young scholars, M-D Nonlinear Conservation Laws and High Order Accurate Conservative Finite Difference Schemes , 01/2004/01—12/2006.

   •  

     Selected Publications
   •  
     1. Xin Lei and Jiequan Li, A non-oscillatory energy-splitting method for the computation of compressible multi-fluid flows, Physics of Fluids, 30 (2018), 006891.
     2. Zhifang Du and Jiequan Li, A Hermite WENO reconstruction for fourth order temporal accurate schemes based on the GRP solver for hyperbolic conservation laws, Journal of Computational Physics, 355 (2018), 385-396.
     3. Zhifang Du and Jiequan Li, A two-stage fourth order time-accurate discretization for   Lax-Wendroff type flow solvers, II. High order numerical boundary conditions 369(2018), 125-147.
     4. Dinshaw Balsara, Jiequan Li and Gino I. Montecinos, An efficient, second order accurate, universal generalized Riemann problem solver based on the HLLI Riemann solver, Journal of Computational Physics, in (minor) revision, 2018.
     5. Jiequan Li and Yue Wang, Thermodynamical effects and high resolution methods for compressible fluid flows, Journal of Computational Physics, 343 (2017), 340–354.
     6. Jiequan Li, Baolin Tian and Shuanghu Wang, Dissipation Matrix and Artificial Heat Conduction for Godunov-type Schemes  of  Compressible Fluid Flows, International Journal of Numerical Methods in Fluids, 84 (2017), 57-75.
     7. Liang Pan, Kun Xu, Qibing Li and Jiequan Li, An efficient and accurate two-stage fourth-order gas-kinetic scheme for the Euler and Navier-Stokes equations, Journal of Computational Physics, 326 (2016), 197-221.
     8. Jiequan Li and Zhifang Du, A two-stage  fourth order time-accurate discretization for  Lax-Wendroff type flow solvers, I. Hyperbolic conservation laws, SIAM J. Sci. Comput.. 38 (2016), 3045-3069.  
     9. M.Ben-Artzi and Jiequan Li, Hyperbolic conservation laws: Riemann invariants and the generalized Riemann problem, Numerische Mathematik, 106 (2007), 369--425.
     10. Jiequan Li and Guoxian Chen, The generalized Riemann problem method for the shallow water equations with bottom topography, International Journal of Numerical Methods in Engineering, 65 (2006), 834--862.
     11. Matania Ben-Artzi, Jiequan Li and Gerald Warnecke, A direct Eulerian GRP scheme for compressible fluid flows, Journal of Computational Physics, 218 (2006), 19--43.
     12. Jiequan Li, Tong Zhang and Yuxi Zheng, Simple waves and a characteristic decomposition for the two dimensional compressible Euler equations, Communications in Mathematical Physics, 267 (2006), 1--12.
     13. Jiequan Li and Peng Zhang, The transition from ZND to CJ theories for nonconvex scalar combustion model, SIAM Journal on Mathematical Analysis, 34 (2003), 675--699.
     14. Jiequan Li, Global solution of an initial—value problem for two--dimensional compressible Euler equations, Journal of Differential Equations, 179 (2002), 178-- 194.
     15. Jiequan Li, On the two--dimensional gas expansion for compressible Euler equations, SIAM Journal on Applied Mathematics, 62 (2001/2002), 831--852.
     16. Jiequan Li, On the uniqueness and existence problem for a multidimensional reacting and convection system, Journal of the London Mathematical Society, 62 (2000), 473-- 488.

     17.