An immersed interface method for the 2D vorticity-velocity Navier-Stokes equations with multiple bodies. - James Gabbard; Thomas Gillis; Philippe Chatelain; Wim M. van Rees (J. Comput. Phys., 2022)

A sharp immersed method for 2D flow-body interactions using the vorticity-velocity Navier-Stokes equations. - Xinjie Ji; James Gabbard; Wim M. van Rees (J. Comput. Phys., 2023)

A high-order finite difference method for moving immersed domain boundaries and material interfaces. - James Gabbard; Wim M. van Rees (J. Comput. Phys., 2024)

Lattice Green's Functions for High-Order Finite Difference Stencils. - James Gabbard; Wim M. van Rees (SIAM J. Numer. Anal., 2024)

A high order multigrid-preconditioned immersed interface solver for the Poisson equation with boundary and interface conditions. - James Gabbard; Andrea Paris; Wim M. van Rees (CoRR, 2025)