Jiaqi Zhang

Jiaqi Zhang

Assistant Professor at BNU and UIC

About me (CV)

I currently hold the position of Assistant Professor at Beijing Normal University at Zhuhai and at the Beijing Normal University-Hong Kong Baptist University United International College (UIC). Prior to my current position, I was a postdoctoral fellow at Clemson University, where I had the privilege of collaborating closely with Professor Timo Heister in the development of open-source finite element libraries. I received my PhD in mathematics from Virginia Tech in 2020 under the guidance of Professor Pengtao Yue. My research focuses on designing numerical algorithms to solve mathematical models derived from complex physical processes, developing efficient parallel solvers, and analyzing numerical results to explore underlying physics. The physical problems I am working on include dynamic wetting on (soft) solids, interfacial flows of a poroelastic hydrogel, brain concussion based on the hydrogel model, as well as three-phase (gas, liquid, solid) solidification with moving contact lines.

Research

  • Finite-element simulations of interfacial flows with moving contact lines.
    • Level-set method
    • Phase-field method
  • Simulating interfacial dynamics between a hydrogel and a fluid
    • Arbitrary Lagrangian-Eulerian method
    • Modeling of Rotation-induced Traumatic Brain Injury (TBI)
  • Simulation of three-phase system with solidification and moving contact lines
    • Cahn-Hilliard model
    • Allen-Cahn model
  • deal.ii and ASPECT-Advanced Solver for Problems in Earth’s ConvecTion
    • Matrix-free methods
    • Geometric multigrid
    • High performance computing

Current Research Funding

  • 01/2025-12/2027: Modeling and numerical studies of wetting on soft solids. National Natural Science Foundation of China Youth Program, Principal Investigator, 300,000 RMB, Project Number: 12401511.

  • 11/2023-10/2026: Numerical simulations of dynamic wetting with fluid-structure interaction, and the development of a parallel solver. Guangdong Basic and Applied Basic Research Foundation, Principal Investigator, 10,000 RMB, Project Number: 2023A1515110861.

Publications

  • Zelai Xu, Jiaqi Zhang, Yuan-Nan Young, Pengtao Yue, and James J. Feng. “Comparison of four boundary conditions for the fluid-hydrogel interface”. Phys. Rev. Fluids, 7:093301, Sep 2022. (DOI)
  • Lei Li, Jiaqi Zhang, Zelai Xu, Yuan-Nan Young, James J. Feng and Pengtao Yue. “An arbitrary Lagrangian-Eulerian method for simulating interfacial dynamics between a hydrogel and a fluid”. Journal of Computational Physics, page 110851, 2021. (Preprint)
  • Daniel Arndt, Wolfgang Bangerth, Bruno Blais, Marc Fehling, Rene Gassmöller, Timo Heister, Luca Heltai, Uwe Köcher, Martin Kronbichler, Matthias Maier, Peter Munch, Jean-Paul Pelteret, Sebastian Proell, Konrad Simon, Bruno Turcksin, David Wells and Jiaqi Zhang . “The deal.II library, Version 9.3” Journal of Numerical Mathematics, vol. 29, no. 3, 2021, pp. 171-186. (Preprint, DOI)
  • Jiaqi Zhang and Pengtao Yue. “A level-set method for moving contact lines with contact angle hysteresis”. Journal of Computational Physics, 418:109636, 2020. (Preprint, DOI)
  • Jiaqi Zhang and Pengtao Yue. “A high-order and interface-preserving discontinuous Galerkin method for level-set reinitialization”. Journal of Computational Physics, 378:634–664, 2019. (Preprint, DOI)

In revision

  • A Fluid Mechanical Study of Rotation-induced Traumatic Brain Injury. (with Qifu Wang, David Bates, James J. Feng, Pengtao Yue, and Qianhong Wu)

Tutorial

The deal.II tutorial step-74: Symmetric interior penalty Galerkin method for Poisson’s equation (URL, DOI)