A new unconditionally stable explicit scheme for the convection-diffusion equation with Robin boundary conditions. - Zhihua Xie 001; Jianguo Lin; Juntao Zhou (Int. J. Comput. Math., 2008)

A three-dimensional Cartesian cut-cell/volume-of-fluid method for two-phase flows with moving bodies. - Zhihua Xie 001; Thorsten Stoesser (J. Comput. Phys., 2020)

A conservative and consistent implicit Cartesian cut-cell method for moving geometries with reduced spurious pressure oscillations. - Zhihua Xie 001; Pengzhi Lin; Thorsten Stoesser (J. Comput. Phys., 2022)

A stabilised finite element framework for viscoelastic multiphase flows using a conservative level-set method. - William Doherty; Timothy N. Phillips; Zhihua Xie 001 (J. Comput. Phys., 2023)

A moment-of-fluid method for resolving filamentary structures using a symmetric multi-material approach. - Philippe Hergibo; Timothy N. Phillips; Zhihua Xie 001 (J. Comput. Phys., 2023)

The log-conformation formulation for single- and multi-phase axisymmetric viscoelastic flows. - William Doherty; Timothy N. Phillips; Zhihua Xie 001 (J. Comput. Phys., 2024)

A quadtree-based adaptive moment-of-fluid method for interface reconstruction with filaments. - Philippe Hergibo; Qiuhua Liang; Timothy N. Phillips; Zhihua Xie 001 (J. Comput. Phys., 2024)

A new ghost-cell/level-set method for three-dimensional flows. - Santiago Martelo Lopez; Aristos Christou; Shunqi Pan; Thorsten Stoesser; Zhihua Xie 001 (J. Comput. Phys., 2024)

A double-layer non-hydrostatic model for simulating wave-structure and wave-jet interactions. - Yuhang Chen; Yongping Chen; Zhenshan Xu; Pengzhi Lin; Zhihua Xie 001 (J. Comput. Phys., 2025)

An interpolated bounce-back based lattice Boltzmann method for floating structures interacting with free surface flows. - Baoming Guo; Jianping Meng; De-Zhi Ning; Zhihua Xie 001; Shunqi Pan (J. Comput. Phys., 2025)

An adaptive dual grid moment-of-fluid method for multiphase flows. - Philippe Hergibo; Timothy N. Phillips; Zhihua Xie 001 (J. Comput. Phys., 2025)