A new fractional-step scheme for the numerical solution to the incompressible Navier–Stokes equations with variable density is proposed. Compared with other known methods, the numerical velocity and pressure are determined… Click to show full abstract
A new fractional-step scheme for the numerical solution to the incompressible Navier–Stokes equations with variable density is proposed. Compared with other known methods, the numerical velocity and pressure are determined by a generalized Stokes problem per time step. The stability and convergence rate $$\mathcal O(\tau )$$ O ( τ ) of the scheme are proved and the performance of the scheme is numerically illustrated.
               
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