A Fully Semi-Lagrangian Method for the Navier–Stokes Equations in Primitive Variables
We propose a semi-Lagrangian method for the numerical solution of the incompressible Navier–Stokes equations. The method is based on the Chorin–Temam fractional step projection method, combined with a fully semi-Lagrangian scheme to approximate both advective and diffusive terms in the momentum equation. A standard finite element method is used instead to solve the Poisson equation for the pressure.