We provide a convergence analysis for a new fractional timestepping technique for the incompressible Navier-Stokes equations based on direction splitting. This new technique is of linear complexity, unconditionally stable and convergent, and suitable for massive parallelization. © 2012 American Mathematical Society.
|Original language||English (US)|
|Number of pages||27|
|Journal||Mathematics of Computation|
|State||Published - 2012|
Bibliographical noteKAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: This material is based upon work supported by the National Science Foundation grants DMS-0713829, by the Air Force Office of Scientific Research, USAF, under grant/contract numberFA9550-09-1-0424, and a Discovery grant of the National Science and Engineering ResearchCouncil of Canada. This publication is also partially based on work supported by Award No.KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).The work of P. Minev was also supported by fellowships from the Institute of Applied Mathematicsand Computational Science and the Institute of Scientific Computing at Texas A&MUniversity.The work of A.J. Salgado was also been supported by NSF grants CBET-0754983 and DMS-0807811.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.