A mixed upwind/central WENO scheme for incompressible two-phase flows. - Ziyang Huang 002; Guang Lin 001; Arezoo Motavalizadeh Ardekani (J. Comput. Phys., 2019)

Consistent, essentially conservative and balanced-force Phase-Field method to model incompressible two-phase flows. - Ziyang Huang 002; Guang Lin 001; Arezoo Motavalizadeh Ardekani (J. Comput. Phys., 2020)

Consistent and conservative scheme for incompressible two-phase flows using the conservative Allen-Cahn model. - Ziyang Huang 002; Guang Lin 001; Arezoo Motavalizadeh Ardekani (J. Comput. Phys., 2020)

A consistent and conservative model and its scheme for N-phase-M-component incompressible flows. - Ziyang Huang 002; Guang Lin 001; Arezoo Motavalizadeh Ardekani (CoRR, 2021)

PCNN: A physics-constrained neural network for multiphase flows. - Haoyang Zheng; Ziyang Huang 002; Guang Lin 001 (CoRR, 2021)

A consistent and conservative model and its scheme for N-phase-M-component incompressible flows. - Ziyang Huang 002; Guang Lin 001; Arezoo Motavalizadeh Ardekani (J. Comput. Phys., 2021)

A consistent and conservative Phase-Field method for multiphase incompressible flows. - Ziyang Huang 002; Guang Lin 001; Arezoo Motavalizadeh Ardekani (J. Comput. Appl. Math., 2022)

A consistent and conservative Phase-Field model for thermo-gas-liquid-solid flows including liquid-solid phase change. - Ziyang Huang 002; Guang Lin 001; Arezoo Motavalizadeh Ardekani (J. Comput. Phys., 2022)

Implementing contact angle boundary conditions for second-order Phase-Field models of wall-bounded multiphase flows. - Ziyang Huang 002; Guang Lin 001; Arezoo Motavalizadeh Ardekani (J. Comput. Phys., 2022)

A consistent and conservative Phase-Field method for compressible multiphase flows with shocks. - Ziyang Huang 002; Eric Johnsen (J. Comput. Phys., 2023)

An upwind moving least squares approximation to solve convection-dominated problems: An application in mixed discrete least squares meshfree method. - Saeb Faraji Gargari; Ziyang Huang 002; Sadegh Dabiri (J. Comput. Phys., 2024)

A consistent and conservative phase-field method for compressible N-phase flows: Consistent limiter and multiphase reduction-consistent formulation. - Ziyang Huang 002; Eric Johnsen (J. Comput. Phys., 2024)

HomPINNs: Homotopy physics-informed neural networks for solving the inverse problems of nonlinear differential equations with multiple solutions. - Haoyang Zheng; Yao Huang; Ziyang Huang 002; Wenrui Hao; Guang Lin 001 (J. Comput. Phys., 2024)

Bound preservation for the consistent and conservative phase-field method for compressible single-, two-, and N-phase flows. - Ziyang Huang 002; Eric Johnsen (J. Comput. Phys., 2025)

A high-order discontinuous Galerkin method for compressible interfacial flows with consistent and conservative Phase Fields. - William J. White; Ziyang Huang 002; Eric Johnsen (J. Comput. Phys., 2025)