A Helmholtz-Leray projection with VMS stabilization on the predicted velocity only gives a three-step Navier-Stokes solver that is second-order accurate in time and less dissipative than monolithic VMS in the reported tests.
Interior penalty procedures for elliptic and parabolic Galerkin methods
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A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations
A Helmholtz-Leray projection with VMS stabilization on the predicted velocity only gives a three-step Navier-Stokes solver that is second-order accurate in time and less dissipative than monolithic VMS in the reported tests.