Spectrally accurate numerical incompressible flows with deformed boundaries: a finite volume preconditioning method

Spectrally accurate solutions of the Stokes problem have been computed with finite volume preconditioning of a Chebyshev collocation method. It has been validated on two analytical test cases and applied to the resolution of the Navier–Stokes equations in a deformed-driven cavity configuration. This numerical tool is ready for application to flows with deformed free surface.