Abstract
In this paper we analyze the convergence properties of a new fractional time-stepping technique for the solution of the variable density incompressible Navier-Stokes equations. The main feature of this method is that, contrary to other existing algorithms, the pressure is determined by just solving one Poisson equation per time step. First-order error estimates are proved, and stability of a formally second-order variant of the method is established. © 2011 Society for Industrial and Applied Mathematics.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 917-944 |
| Number of pages | 28 |
| Journal | SIAM Journal on Numerical Analysis |
| Volume | 49 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jan 2011 |
| Externally published | Yes |
Bibliographical note
KAUST Repository Item: Exported on 2020-10-01Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: Received by the editors August 21, 2009; accepted for publication (in revised form) February 28, 2011; published electronically May 10, 2011. This publication is based on work supported by King Abdullah University of Science and Technology (KAUST) award KUS-C1-016-04.Department of Mathematics, Texas A&M University, College Station, TX 77843-3368 ([email protected]). This author's work was partially supported by National Science Foundation grant NSF-DMS (0713829).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.