Fourier Continuation is used to extend velocity and pressure fields so that a spectral ISPH scheme can enforce general wall boundary conditions while retaining high-order convergence via FFT-based discretization.
Lyon, A fast algorithm for Fourier continuation, SIAM Journal on Scientific Computing 33 (6) (2011) 3241–3260
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A high-order Fourier Continuation (FC)-based spectral incompressible Smoothed Particle Hydrodynamics (ISPH) scheme for general boundary conditions in wall-bounded domains
Fourier Continuation is used to extend velocity and pressure fields so that a spectral ISPH scheme can enforce general wall boundary conditions while retaining high-order convergence via FFT-based discretization.