Jiaqi Zhang

Jiaqi Zhang

Postdoctoral fellow at Clemson University

About me (CV)

I am a postdoctoral fellow in the school of mathematical and statistical sciences at Clemson University, and my advisor is Professor Timo Heister. I completed my PhD in mathematics at Virginia Tech under the supervision of Professor Pengtao Yue.

Research

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

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)

Dissertation

Jiaqi Zhang. “Finite-element simulations of interfacial flows with moving contact lines.” PhD diss., Virginia Tech, 2020. (URL)

Tutorial

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