Well-balanced central-upwind scheme for a fully coupled shallow water system modeling flows over erodible bed. - Xin Liu 029; Abdolmajid Mohammadian; Alexander Kurganov; Julio Angel Infante Sedano (J. Comput. Phys., 2015)

Three-dimensional shallow water system: A relaxation approach. - Xin Liu 029; Abdolmajid Mohammadian; Julio Angel Infante Sedano; Alexander Kurganov (J. Comput. Phys., 2017)

Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system. - Xin Liu 029; Jason Albright; Yekaterina Epshteyn; Alexander Kurganov (J. Comput. Phys., 2018)

An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces. - Xin Liu 029; Alina Chertock; Alexander Kurganov (J. Comput. Phys., 2019)

One-Dimensional/Two-Dimensional Coupling Approach with Quadrilateral Confluence Region for Modeling River Systems. - Xin Liu 029; Alina Chertock; Alexander Kurganov; Karlan Wolfkill (J. Sci. Comput., 2019)

A steady-state-preserving scheme for shallow water flows in channels. - Xin Liu 029 (J. Comput. Phys., 2020)

A Well-Balanced and Positivity-Preserving Numerical Model for Shallow Water Flows in Channels with Wet-Dry Fronts. - Xin Liu 029 (J. Sci. Comput., 2020)

Moving-Water Equilibria Preserving Partial Relaxation Scheme for the Saint-Venant System. - Xin Liu 029; Xi Chen; Shi Jin; Alexander Kurganov; Tong Wu 005; Hui Yu (SIAM J. Sci. Comput., 2020)

A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Shallow Water Equations Over Irregular Bottom Topography. - Xin Liu 029 (SIAM J. Sci. Comput., 2020)

A well-balanced numerical model for depth-averaged two-layer shallow water flows. - Xin Liu 029; Junfeng He (Comput. Appl. Math., 2021)

A new well-balanced finite-volume scheme on unstructured triangular grids for two-dimensional two-layer shallow water flows with wet-dry fronts. - Xin Liu 029 (J. Comput. Phys., 2021)

Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts. - Alina Chertock; Alexander Kurganov; Xin Liu 029; Yongle Liu; Tong Wu 005 (J. Sci. Comput., 2022)