Multidomain Hybrid RKDG and WENO Methods for Hyperbolic Conservation Laws. - Jian Cheng 007; Yaowen Lu; Tiegang Liu (SIAM J. Sci. Comput., 2013)

A direct discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids. - Jian Cheng 007; Xiaoquan Yang; Xiaodong Liu; Tiegang Liu; Hong Luo (J. Comput. Phys., 2016)

Analysis and development of adjoint-based h-adaptive direct discontinuous Galerkin method for the compressible Navier-Stokes equations. - Jian Cheng 007; Huiqiang Yue; Shengjiao Yu; Tiegang Liu (J. Comput. Phys., 2018)

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 variational reconstructed discontinuous Galerkin method for the steady-state compressible flows on unstructured grids. - Jian Cheng 007; Tiegang Liu (J. Comput. Phys., 2019)

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