Finite Spectral Semi-Lagrangian Method for Incompressible Flows

A new semi-Lagrangian (SL) scheme is proposed by using finite spectral regional interpolation and adequate numerical dissipation to control the nonlinear instability. The finite spectral basis function is C¹ continuous at the boundary and is easy to construct. Comparison between numerical and experimental results indicates that the present method works well in solving incompressible Navier–Stokes equations for unsteady flows around airfoil with different angles of attack.