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math.NA2023★ 2 cited
Lattice Green's Functions for High Order Finite Difference Stencils
James Gabbard, Wim M. van Rees
Lattice Green's Functions (LGFs) are fundamental solutions to discretized linear operators, and as such they are a useful tool for solving discretized elliptic PDEs on domains that…
physics.flu-dyn2023★ 7 cited
A sharp immersed method for 2D flow-body interactions using the vorticity-velocity Navier-Stokes equations
Xinjie Ji, James Gabbard, Wim M. van Rees
Immersed methods discretize boundary conditions for complex geometries on background Cartesian grids. This makes such methods especially suitable for two-way coupled flow-body prob…