A high order compact least-squares reconstructed discontinuous Galerkin method for the steady-state compressible flows on hybrid grids. - Jian Cheng 007; Fan Zhang 043; Tiegang Liu (J. Comput. Phys., 2018)

A direct discontinuous Galerkin method for the incompressible Navier-Stokes equations on arbitrary grids. - Fan Zhang 043; Jian Cheng 007; Tiegang Liu (J. Comput. Phys., 2019)

Exponential boundary-layer approximation space for solving the compressible laminar Navier-Stokes equations. - Fan Zhang 043; Jian Cheng 007; Tiegang Liu (Adv. Comput. Math., 2020)

A discontinuous Galerkin method for the simulation of compressible gas-gas and gas-water two-medium flows. - Jian Cheng 007; Fan Zhang 043; Tiegang Liu (J. Comput. Phys., 2020)

A reconstructed discontinuous Galerkin method for incompressible flows on arbitrary grids. - Fan Zhang 043; Jian Cheng 007; Tiegang Liu (J. Comput. Phys., 2020)

A Quasi-Conservative Discontinuous Galerkin Method for Solving Five Equation Model of Compressible Two-Medium Flows. - Jian Cheng 007; Fan Zhang 043; Tiegang Liu (J. Sci. Comput., 2020)

A High-Order Maximum-Principle-Satisfying Discontinuous Galerkin Method for the Level Set Problem. - Fan Zhang 043; Tiegang Liu; Moubin Liu (J. Sci. Comput., 2021)

A finite particle method based on a Riemann solver for modeling incompressible flows. - Fan Zhang 043; Can Huang; Huashan Zhang; Tiegang Liu; Moubin Liu (Comput. Math. Appl., 2022)

An improved continuum surface tension model in SPH for simulating free-surface flows and heat transfer problems. - Fan Zhang 043; Pengying Yang; Moubin Liu (J. Comput. Phys., 2023)

A Physical-Constraint-Preserving Discontinuous Galerkin Method for Weakly Compressible Two-Phase Flows. - Fan Zhang 043; Jian Cheng 007; Tiegang Liu (J. Sci. Comput., 2023)