Liao, Qifeng and Silvester, David (2011) Fast Implicit Solvers using Stabilized Mixed Approximation. [MIMS Preprint]
![[thumbnail of lsijnmf.pdf]](https://eprints.maths.manchester.ac.uk/style/images/fileicons/application_pdf.png) |
PDF
lsijnmf.pdf Download (3MB) |
Abstract
This paper concerns a new class of robust and efficient methods for solving the Navier-Stokes equations for unsteady incompressible flow. In previous work (Kay et al. SIAM J. Sci. Comput. 2010; 32:111-128) 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.
| Item Type: | MIMS Preprint |
|---|---|
| Uncontrolled Keywords: | Stabilized finite element approximation, Navier-Stokes, implicit time stepping |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis MSC 2010, the AMS's Mathematics Subject Classification > 76 Fluid mechanics |
| Depositing User: | professor david silvester |
| Date Deposited: | 09 May 2011 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1616 |
Actions (login required)
 |
View Item |