Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains
KAUST Grant NumberKUS-C1-016-04
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AbstractWe 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.
CitationGuermond 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.
SponsorsThis 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.
PublisherAmerican Mathematical Society (AMS)
JournalMathematics of Computation