Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains

Guermond, Jean-Luc; Minev, Peter D.; Salgado, Abner J.

Type

Article

Authors

Guermond, Jean-Luc
Minev, Peter D.
Salgado, Abner J.

KAUST Grant Number

KUS-C1-016-04

Date

2012

Permanent link to this record

http://hdl.handle.net/10754/597871

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Abstract

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.

Citation

Guermond J-L, Minev PD, Salgado AJ (2012) Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains. Math Comp 81: 1951–1977. Available: http://dx.doi.org/10.1090/s0025-5718-2012-02588-9.

Sponsors

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.