| Author | Christian H. Whiting and Kenneth E. Jansen |
|---|---|
| Title | A stabilized finite element method for the incompressible Navier-Stokes equations using a hierarchical basis |
| Year | 1999 |
| Journal | International Journal for Numerical Methods in Fluids |
| Volume | 35 |
| Pages | 93-116 |
| Abstract | Stabilized finite element methods have been shown to yield robust, accurate numerical solutions to both the compressible and incompressible Navier-Stokes equations for laminar and turbulent flows. The present work focuses on the application of higher-order, hierarchical basis functions to the incompressible Navier-Stokes equations using a stabilized finite element method. It is shown on a variety of problems that the most cost-effective simulations (in terms of CPU time, memory and disk storage) can be obtained using higher-order basis functions when compared with the traditional linear basis. |