On the influence of different stabilisation methods for the incompressible Navier–Stokes equations

Two different stabilisation methods for the incompressible Navier–Stokes equations are investigated. Both methods are based on a special interpolation scheme for the velocity components but with different effects and behaviour. They introduce varying errors in the continuity equation but also the derivation of terms contributing to the special interpolation have a great influence on the quality of the results. By means of various examples the two stabilisation methods and their contributing parts are compared.