dst 20191206 yanadi
Prof. Yana DI
Professor and Programme Director of Applied Mathematics
Division of Science and Technology
office: T3-601-R4


Curriculum Vitae


Ph.D in Computational Mathematics, Peking University
BSc in Computational Mathematics and Applied Software, Peking University

Research Interests

Adaptive methods and their applications, especially moving mesh methods
Continuum hydrodynamic calculations for multiphase flows
Interface or internal boundary tracking methods, such as solidification
Moving boundary simulations of fluid-structure interactions

Current Teaching

Calculus I

Selected Publications
  • Shuo Guo, Xianmin Xu, Tiezheng Qian, Yana Di, Masao Doi, and Penger Tong, Onset of thin film meniscus along a fibre, J. Fluid Mech. 865, 650–680 (2019).
  • Xianmin Xu, Yana Di, and Haijun Yu, Sharp-interface limits of a phase-field model with a generalized Navier slip boundary condition for moving contact lines, J. Fluid Mech. 849, 805–833 (2018).
  • Xiaoli Chen, Yana Di, Jinqiao Duan, and Dongfang Li, Linearized compact ADI schemes for nonlinear time-fractional Schrdinger equations, Appl. Math. Lett. 84, 160–167 (2018).
  • Xianmin Xu, Yana Di, and Masao Doi, Variational method for liquids moving on a substrate, Phys. Fluids 28(8), 431–486 (2016).
  • Yana Di, Xianmin Xu, and Masao Doi, Theoretical analysis for meniscus rise of a liquid contained between a flexible film and a solid wall, Europhys. Lett. 113(3), 36001 (2016).
  • Yana Di, Jelena Popovic, and Olof Runborg, An adaptive fast interface tracking method, J. Comput. Mathe. 33(6), 576–586 (2015).
  • Yana Di and Xiao-Ping Wang, Precursor simulations in spreading using a multi-mesh adaptive finite element method, J. Comput. Phys. 228, 1380–1390 (2009).
  • Yana Di, Ruo Li, and Tao Tang, A general moving mesh framework in 3D and its application for simulating the mixture of multi-phase flows, Commun. Comput. Phys. 3, 582–602 (2008).
  • Yana Di, Ruo Li, Tao Tang, and Pingwen Zhang, Moving mesh methods for singular problems on a sphere using perturbed harmonic mappings, SIAM J. Sci. Comput. 28, 1490–1508 (2006).
  • Yana Di, Ruo Li, Tao Tang, and Pingwen Zhang, Moving mesh finite element methods for the incompressible Navier-Stokes equations, SIAM J. Sci. Comput. 26, 1036–1056 (2005).


Grants and Projects
  • Numerical Methods and Applications for Dynamics of Thin Films, NSFC (National Natural Science Foundation of China), 11771437 (leader, 2018.1-2021.12)
  • Coupled Modeling and Simulation of Blood Flow and Blood Pulse Waves, Major Research plan of NSFC, 91630208 (member, 2017.1-2019.12)
  • LES-PDF Methods and High Resolution Schemes for Turbulent Combustion, Major Research plan of NSFC, 91641107 (member, 2016.1-2019.12)
  • Numerical Simulation and Applications of Interface Tracking in Multiphase flows, NSFC, 11271358 (leader, 2013.1-2016.12)
  • National Magnetic Confinement Fusion Science Program, ITER (International Thermonuclear Experimental Reactor) Project, 2011GB105003 (member, 2011.9-2014.8)
  • Major geological disaster prediction and numerical analysis method, National 973 Project, 2010CB731505 (member, 2010.1-2014.7)
  • Discontinuous Galerkin method for numerical solution of three-dimensional gas-phase chemically reacting flows, NSFC, 10972230 (member, 2010.1-2012.12)
  • The Dahlquist Research Fellowship, COMSOL, Sweden (leader, 2009.6-2011.6)
  • RP-Adaptive Finite Element Methods and Applications in Multiphase Flows, NSFC, 10701075 (leader, 2009.1-2011.12)
Awards and Honors
  • Elected in Youth Innovation Promotion Association in Chinese Academy of Sciences, 2013
  • CSIAM Award for Excellent Young Scholars by China Society for Industrial and Applied Mathematics, 2012
  • Selected in the Program for Chen Jingrun Future Star in Chinese Academy of Sciences, 2011
  • Invited Speaker, International Congress of Women Mathematicians, Hyderabad, India, 2010
  • The Dahlquist Research Fellowship in KTH (Royal Institute of Technology), Sweden, 2009
  • Jia-qing Zhong Mathematics Award by Chinese Mathematical Society, 2007
Postgraduate Opportunities

I am recruiting graduate students interested in working on the areas related to computational mathematics. Welcome to apply for our PhD programme.