A Pseudo-spectral Scheme for the Incompressible Navier–Stokes Equations Using Unstructured Nodal Elements

A pseudo-spectral scheme for solving the incompressible Navier–Stokes equations using unstructured nodal triangles is proposed. Efficient algorithms are developed with numerical evidence that indicates optimal rates of convergence can be achieved. Navier–Stokes simulations of Kovasznay, shear layer roll up, and flow past a cylinder are included to show comparisons between the different nodal sets considered and an alternative modal approach.