A multi-GPU method for ADI-based fractional-step integration of incompressible Navier-Stokes equations

Computer Physics Communications ◽

10.1016/j.cpc.2021.107999 ◽

2021 ◽

pp. 107999

Author(s):

Sanghyun Ha ◽

Junshin Park ◽

Donghyun You

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Fractional Step ◽

Navier Stokes Equations

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Fractional step artificial compressibility schemes for the unsteady incompressible Navier–Stokes equations

Computers & Fluids ◽

10.1016/j.compfluid.2006.01.019 ◽

2007 ◽

Vol 36 (5) ◽

pp. 974-986 ◽

Cited By ~ 18

Author(s):

H.S. Tang ◽

Fotis Sotiropoulos

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Fractional Step ◽

Navier Stokes Equations ◽

Artificial Compressibility

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A Non-staggered Grid, Fractional Step Method for Time-Dependent Incompressible Navier-Stokes Equations in Curvilinear Coordinates

Journal of Computational Physics ◽

10.1006/jcph.1994.1146 ◽

1994 ◽

Vol 114 (1) ◽

pp. 18-33 ◽

Cited By ~ 451

Author(s):

Yan Zang ◽

Robert L. Street ◽

Jeffrey R. Koseff

Keyword(s):

Stokes Equations ◽

Time Dependent ◽

Curvilinear Coordinates ◽

Staggered Grid ◽

Navier Stokes ◽

Fractional Step ◽

Step Method ◽

Fractional Step Method ◽

Navier Stokes Equations

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An improvement of fractional step methods for the incompressible Navier-Stokes equations

Journal of Computational Physics ◽

10.1016/0021-9991(91)90215-7 ◽

1991 ◽

Vol 92 (2) ◽

pp. 369-379 ◽

Cited By ~ 152

Author(s):

Hung Le ◽

Parviz Moin

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Fractional Step ◽

Navier Stokes Equations

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Numerical solution of incompressible Navier–Stokes equations using a fractional-step approach

Computers & Fluids ◽

10.1016/s0045-7930(01)00031-7 ◽

2001 ◽

Vol 30 (7-8) ◽

pp. 829-851 ◽

Cited By ~ 24

Author(s):

Cetin Kiris ◽

Dochan Kwak

Keyword(s):

Numerical Solution ◽

Stokes Equations ◽

Navier Stokes ◽

Fractional Step ◽

Navier Stokes Equations

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Sharp error estimates for a fractional-step method applied to the 3D Navier–Stokes equations

Comptes Rendus Mathematique ◽

10.1016/j.crma.2007.07.007 ◽

2007 ◽

Vol 345 (6) ◽

pp. 359-362 ◽

Cited By ~ 2

Author(s):

Francisco Guillén-González ◽

María Victoria Redondo-Neble

Keyword(s):

Error Estimates ◽

Stokes Equations ◽

Navier Stokes ◽

Fractional Step ◽

Step Method ◽

Fractional Step Method ◽

Navier Stokes Equations ◽

Sharp Error

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A fractional step method for regularized Navier-Stokes equations

The Navier-Stokes Equations II — Theory and Numerical Methods - Lecture Notes in Mathematics ◽

10.1007/bfb0090343 ◽

1992 ◽

pp. 196-209

Author(s):

Werner Varnhorn

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Fractional Step ◽

Step Method ◽

Fractional Step Method ◽

Navier Stokes Equations

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A divergence free fractional step method for the Navier-Stokes equations on non-staggered grids

ANZIAM Journal ◽

10.21914/anziamj.v51i0.2627 ◽

2010 ◽

Vol 51 ◽

pp. 654 ◽

Cited By ~ 4

Author(s):

Steven William Armfield ◽

Nicholas Williamson ◽

Michael Kirkpatrick ◽

Robert Street

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Fractional Step ◽

Step Method ◽

Fractional Step Method ◽

Navier Stokes Equations ◽

Staggered Grids ◽

Divergence Free

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Fourth-order accurate fractional-step IMEX schemes for the incompressible Navier–Stokes equations on moving overlapping grids

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.113040 ◽

2020 ◽

Vol 366 ◽

pp. 113040 ◽

Cited By ~ 1

Author(s):

F. Meng ◽

J.W. Banks ◽

W.D. Henshaw ◽

D.W. Schwendeman

Keyword(s):

Fourth Order ◽

Stokes Equations ◽

Navier Stokes ◽

Fractional Step ◽

Navier Stokes Equations ◽

Overlapping Grids ◽

Imex Schemes

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A New Higher Order Fractional-Step Method for the Incompressible Navier-Stokes Equations

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2018-0258 ◽

2020 ◽

Vol 12 (2) ◽

pp. 362-385

Author(s):

Rong An

Keyword(s):

Stokes Equations ◽

Higher Order ◽

Navier Stokes ◽

Fractional Step ◽

Step Method ◽

Fractional Step Method ◽

Navier Stokes Equations

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A posteriori error estimation for the fractional step theta discretization of the incompressible Navier–Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.11.031 ◽

2015 ◽

Vol 288 ◽

pp. 45-59 ◽

Cited By ~ 11

Author(s):

Dominik Meidner ◽

Thomas Richter

Keyword(s):

Error Estimation ◽

Stokes Equations ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Navier Stokes ◽

Fractional Step ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Navier Stokes Equations ◽

A Posteriori Error

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