Publications

Journal Articles

  1. Russell J. Hankey, Kuangxu Chen, and Chunlei Liang, Extending the Spectral Difference Method with Divergence Cleaning (SDDC) to the Hall MHD Equations, Accepted for publication, Northeast Journal of Complex Systems. Vol. 5, 2023.
  2. K. Chen, C. Liang and M. Wan, Arbitrarily high-order accurate simulations of compressible rotationally constrained convection using a transfinite mapping on cubed-sphere grids, Physics of Fluids, Vol 35, 086120, 2023.
  3. K. Chen and C. Liang, An arbitrarily high-order Spectral Difference method with Divergence Cleaning (SDDC) for compressible magnetohydrodynamic simulations on unstructured grids, The Astrophysical Journal, published online, June 2022. https://doi.org/10.3847/1538-4357/ac6e61
  4. K. Chen and C. Liang, A divergence-free high-order Spectral Difference method with Constrained Transport (SDCT) for ideal compressible magnetohydrodynamics. in press, Int. Journal of Computational Fluid Dynamics, 2022. https://doi.org/10.1080/10618562.2022.2042272
  5. X. Zhang and C. Liang, An open boundary condition for high-order solutions of magnetohydrodynamics on unstructured grids, Int. Journal of Computational Fluid Dynamics, Vol 34, pp. 438-456, 2020, https://doi.org/10.1080/10618562.2020.1791835
  6. Jingjing Yang, Chunlei Liang , A high-order flux reconstruction adaptive mesh refinement method for magnetohydrodynamics on unstructured grids. International Journal for Numerical Methods in Fluids, Volume 86, 231-253, 2018.
  7. X. Zhang, C. Liang, J. Yang, M. S. Miesch, A robust artificial magnetic resistivity and sub-iterative divergence cleaning technique for solving ideal MHD equations with high-order flux reconstruction method. International Journal of Terraspace Science and Engineering, Vol 9, 21-29, 2017.
  8. J. Yang, B. Zhang, C. Liang, and Y. Rong, A High-Order Flux Reconstruction Method with Adaptive Mesh Refinement and Artificial Diffusivity on Unstructured Moving/Deforming Mesh for Shock Capturing. Computers & Fluids, Vol 139, 17-35, 2017.
  9. J. Wang, M. S. Miesch, and C. Liang, Convection in Oblate Solar-Type Stars. Astrophysical Journal, Vol 830, 2016.
  10. J. Wang, C. Liang, M. S. Miesch, A Compressible High-Order Unstructured Spectral Difference Code for Stratified Convection in Rotating Spherical Shells, Journal of Computational Physics, Vol 290, 90-111, 2015.
  11. S. Premasuthan, C. Liang, A. Jameson, Computation of flows with shocks using the Spectral Difference method with artificial viscosity, I: Basic formulation and application, Computers and Fluids, Volume 98, 2 July 2014, Pages 111-121.
  12. S. Premasuthan, C. Liang, A. Jameson, Computation of flows with shocks using the Spectral Difference method with artificial viscosity, II: Modified formulation with local mesh refinement, Computers and Fluids, Volume 98, 2 July 2014, Pages 122-133.
  13. J. Chen, J. D. Lee, C. Liang, Constitutive equations of Micropolar electromagnetic fluids, Journal of Non-Newtonian Fluid Mechanics, Vol 166, 867-874 , 2011.

Dissertations

  1. Kuangxu Chen, High-Order Accurate Simulations of Compressible MHD Dynamo on Unstructured Grids, Ph.D. thesis, Clarkson University, 2023.
  2. Xiaoliang Zhang, CHORUS-MHD Code for Solar and Planetary Magnetohydrodynamics. Ph.D. dissertation, The George Washington University, 2019.
  3. Jingjing Yang, A High-Order Adaptive Mesh Refinement Method for Shock Capturing and Magnetohydrodynamics. Ph.D. dissertation, The George Washington University, 2017.
  4. Junfeng Wang, CHORUS Code for Solar and Planetary Convection. Ph.D. dissertation, The George Washington University, 2016.