Phase-shifting dealiasing cancels aliasing errors in pseudo-spectral Navier-Stokes solvers by evaluating nonlinear terms on shifted grids, achieving up to 3x speedup over 2/3 truncation with small accuracy loss on Taylor-Green and forced isotropic turbulence tests.
We already studied in Section III D how aliasing errors affect a simulation at smallk max˜η= 0.75
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Aliasing and phase shifting in pseudo-spectral simulations of the incompressible Navier-Stokes equations
Phase-shifting dealiasing cancels aliasing errors in pseudo-spectral Navier-Stokes solvers by evaluating nonlinear terms on shifted grids, achieving up to 3x speedup over 2/3 truncation with small accuracy loss on Taylor-Green and forced isotropic turbulence tests.