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 ◽

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 ◽

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A Fourth-Order Accurate Method for the Incompressible Navier-Stokes Equations on Overlapping Grids

Journal of Computational Physics ◽

10.1006/jcph.1994.1114 ◽

1994 ◽

Vol 113 (1) ◽

pp. 13-25 ◽

Author(s):

William D. Henshaw

Keyword(s):

Fourth Order ◽

Stokes Equations ◽

Accurate Method ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Overlapping Grids

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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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SPECTRAL METHODS FOR THE APPROXIMATION OF FOURTH-ORDER PROBLEMS: APPLICATION TO THE STOKES AND NAVIER–STOKES EQUATIONS

Computational Structural Mechanics & Fluid Dynamics ◽

10.1016/b978-0-08-037197-9.50024-3 ◽

1988 ◽

pp. 205-216

Author(s):

CHRISTINE BERNARDI ◽

YVON MADAY

Keyword(s):

Fourth Order ◽

Spectral Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Fourth Order Problems

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Comparison of wide and compact fourth-order formulations of the Navier-Stokes equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1920 ◽

2009 ◽

Vol 60 (9) ◽

pp. 992-1010 ◽

Author(s):

Ercan Erturk

Keyword(s):

Fourth Order ◽

Stokes Equations ◽

Navier Stokes ◽

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 ◽

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 ◽

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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A fourth-order adaptive mesh refinement algorithm for the multicomponent, reacting compressible Navier–Stokes equations

Combustion Theory and Modelling ◽

10.1080/13647830.2019.1566574 ◽

2019 ◽

Vol 23 (4) ◽

pp. 592-625 ◽

Author(s):

Matthew Emmett ◽

Emmanuel Motheau ◽

Weiqun Zhang ◽

Michael Minion ◽

John B. Bell

Keyword(s):

Fourth Order ◽

Adaptive Mesh Refinement ◽

Stokes Equations ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Refinement Algorithm

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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 ◽

Author(s):

Hung Le ◽

Parviz Moin

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Fractional Step ◽

Navier Stokes Equations

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Fourth-order compact formulation of Navier-Stokes equations and driven cavity flow at high Reynolds numbers by E. Erturk and C. Gökçöl (Int. J. Numer. Meth. Fluids 2006;50(4):421–436)

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1179 ◽

2006 ◽

Vol 50 (6) ◽

pp. 765-765

Keyword(s):

Fourth Order ◽

Stokes Equations ◽

Reynolds Numbers ◽

Cavity Flow ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Driven Cavity ◽

High Reynolds Numbers ◽

Compact Formulation ◽

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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 ◽

Author(s):

Cetin Kiris ◽

Dochan Kwak

Keyword(s):

Numerical Solution ◽

Stokes Equations ◽

Navier Stokes ◽

Fractional Step ◽

Navier Stokes Equations

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