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.
High-order cfd methods: current status and perspective.International Journal for Numerical Methods in Fluids, 72(8):811–845, 2013
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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.