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.
An absolutely stabilized finite element method for the stokes problem.Mathematics of computation, 52(186):495–508, 1989
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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.