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An operator-integration-factor splitting method for time-dependent problems: application to incompressible fluid flow

Authors:

Y. Maday,

Anthony T. Patera,

Einar M. RønquistAuthors Info & Claims

Journal of Scientific Computing, Volume 5, Issue 4

Pages 263 - 292

https://doi.org/10.1007/BF01063118

Published: 01 December 1990 Publication History

Abstract

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Xiu DSherwin SDong SKarniadakis G(2023)Strong and auxiliary forms of the semi-Lagrangian method for incompressible flowsJournal of Scientific Computing10.1007/BF0272899425:1-2(323-346)Online publication date: 15-Mar-2023
https://dl.acm.org/doi/10.1007/BF02728994
Min MLan YFischer PMerzari EKerkemeier SPhillips MRathnayake TNovak AGaston DChalmers NWarburton TWolf FShende SCulhane CAlam SJagode H(2022)Optimization of full-core reactor simulations on summitProceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis10.5555/3571885.3571983(1-11)Online publication date: 13-Nov-2022
https://dl.acm.org/doi/10.5555/3571885.3571983
Debrabant KKværnø AMattsson N(2022)Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariantsBIT10.1007/s10543-021-00906-862:4(1121-1147)Online publication date: 1-Dec-2022
https://dl.acm.org/doi/10.1007/s10543-021-00906-8
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An operator-integration-factor splitting method for time-dependent problems: application to incompressible fluid flow
1. Mathematics of computing
  1. Mathematical analysis
    1. Differential equations
      1. Ordinary differential equations
    2. Integral equations

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cover image Journal of Scientific Computing

Journal of Scientific Computing Volume 5, Issue 4

Dec. 1990

100 pages

ISSN:0885-7474

Editor:
Steven A. Orszag
Princeton Univ., Princeton, NJ

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Plenum Press

United States

Publication History

Published: 01 December 1990

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Xiu DSherwin SDong SKarniadakis G(2023)Strong and auxiliary forms of the semi-Lagrangian method for incompressible flowsJournal of Scientific Computing10.1007/BF0272899425:1-2(323-346)Online publication date: 15-Mar-2023
https://dl.acm.org/doi/10.1007/BF02728994
Min MLan YFischer PMerzari EKerkemeier SPhillips MRathnayake TNovak AGaston DChalmers NWarburton TWolf FShende SCulhane CAlam SJagode H(2022)Optimization of full-core reactor simulations on summitProceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis10.5555/3571885.3571983(1-11)Online publication date: 13-Nov-2022
https://dl.acm.org/doi/10.5555/3571885.3571983
Debrabant KKværnø AMattsson N(2022)Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariantsBIT10.1007/s10543-021-00906-862:4(1121-1147)Online publication date: 1-Dec-2022
https://dl.acm.org/doi/10.1007/s10543-021-00906-8
Patel SFischer PMin MTomboulides A(2019)A Characteristic-Based Spectral Element Method for Moving-Domain ProblemsJournal of Scientific Computing10.1007/s10915-018-0876-679:1(564-592)Online publication date: 1-Apr-2019
https://dl.acm.org/doi/10.1007/s10915-018-0876-6
Mittal KFischer P(2019)Mesh Smoothing for the Spectral Element MethodJournal of Scientific Computing10.1007/s10915-018-0812-978:2(1152-1173)Online publication date: 1-Feb-2019
https://dl.acm.org/doi/10.1007/s10915-018-0812-9
Bonaventura LFerretti RRocchi L(2018)A fully semi-Lagrangian discretization for the 2D incompressible NavierStokes equations in the vorticity-streamfunction formulationApplied Mathematics and Computation10.1016/j.amc.2017.11.030323:C(132-144)Online publication date: 15-Apr-2018
https://dl.acm.org/doi/10.1016/j.amc.2017.11.030
Lu DZhang Y(2017)Computational Complexity Study on Krylov Integration Factor WENO Method for High Spatial Dimension Convection---Diffusion ProblemsJournal of Scientific Computing10.1007/s10915-017-0398-773:2-3(980-1027)Online publication date: 1-Dec-2017
https://dl.acm.org/doi/10.1007/s10915-017-0398-7
Jiang TZhang Y(2016)Krylov single-step implicit integration factor WENO methods for advection-diffusion-reaction equationsJournal of Computational Physics10.1016/j.jcp.2016.01.021311:C(22-44)Online publication date: 15-Apr-2016
https://dl.acm.org/doi/10.1016/j.jcp.2016.01.021
Merrill BPeet YFischer PLottes J(2016)A spectrally accurate method for overlapping grid solution of incompressible Navier-Stokes equationsJournal of Computational Physics10.1016/j.jcp.2015.11.057307:C(60-93)Online publication date: 15-Feb-2016
https://dl.acm.org/doi/10.1016/j.jcp.2015.11.057
Lu DZhang Y(2016)Krylov Integration Factor Method on Sparse Grids for High Spatial Dimension Convection---Diffusion EquationsJournal of Scientific Computing10.1007/s10915-016-0216-769:2(736-763)Online publication date: 1-Nov-2016
https://dl.acm.org/doi/10.1007/s10915-016-0216-7
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