TY - JOUR
T1 - Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density
AU - Guermond, J.-L.
AU - Salgado, Abner J.
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged 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.
PY - 2011/1
Y1 - 2011/1
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/598211
UR - http://epubs.siam.org/doi/10.1137/090768758
UR - http://www.scopus.com/inward/record.url?scp=79960406299&partnerID=8YFLogxK
U2 - 10.1137/090768758
DO - 10.1137/090768758
M3 - Article
SN - 0036-1429
VL - 49
SP - 917
EP - 944
JO - SIAM Journal on Numerical Analysis
JF - SIAM Journal on Numerical Analysis
IS - 3
ER -