Nonconforming Stabilized Methods for the Transient Naiver-Stokes Equations

Based on pressure projection and variational multi- scale method, we present a new stabilized method for the transient Naiver-Stokes equations by using a nonconforming inf-sup unstable element pair for approximating the velocity and pressure. This new stabilized finite element method has some attractive features: it avoids higher-order derivatives and edge-based data structures, it adds the discrete velocity term only on the fine scale and is effective for high Reynolds number fluid flows, it avoids the increase of computer´s costs.