Implicit solvers using stabilized mixed approximation
Article first published online: 22 JUN 2012
Copyright © 2012 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Fluids
Volume 71, Issue 8, pages 991–1006, 20 March 2013
How to Cite
Liao, Q. and Silvester, D. (2013), Implicit solvers using stabilized mixed approximation. Int. J. Numer. Meth. Fluids, 71: 991–1006. doi: 10.1002/fld.3697
- Issue published online: 12 FEB 2013
- Article first published online: 22 JUN 2012
- Manuscript Accepted: 6 MAY 2012
- Manuscript Revised: 5 MAR 2012
- Manuscript Received: 8 MAY 2011
- stabilized finite element approximation;
- implicit time stepping
This paper concerns a new class of robust and efficient methods for solving the Navier–Stokes equations for unsteady incompressible flow. In previous work we established the effectiveness of an implicit time integrator using a stabilized trapezoid rule with an explicit Adams–Bashforth method for error control. The role of the stability of the spatial approximation on the overall accuracy of the implicit solution algorithm is the primary focus here. In particular, the relationship between spatial stabilization and temporal solution accuracy is assessed computationally for the case of the lowest order conforming mixed approximation. Copyright © 2012 John Wiley & Sons, Ltd.