An exponentially fitted finite volume method for the numerical solution of 2D unsteady incompressible flow problems (Q1339517)

We develop and test an exponentially fitted finite volume method for the numerical solution of the Navier-Stokes equations describing two- dimensional incompressible flows. The method is based on an unstructured Delaunay mesh and its dual Dirichlet tessellation, combined with a locally constant approximation to the flux. This yields a piecewise exponential approximation to the exact solution. Numerical tests are presented for a linear advection-diffusion problem with boundary layers. The method is then applied to the driven cavity problem with Reynolds numbers up to \(10^ 4\).