A fractional step method for solving the compressible Navier–Stokes equations

Kunlun Liu; Richard H. Pletcher

doi:10.1016/j.jcp.2007.06.026

A fractional step method for solving the compressible Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2007.06.026 ◽

2007 ◽

Vol 226 (2) ◽

pp. 1930-1951 ◽

Cited By ~ 6

Author(s):

Kunlun Liu ◽

Richard H. Pletcher

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Fractional Step ◽

Step Method ◽

Fractional Step Method ◽

Navier Stokes Equations

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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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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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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 dual reciprocity boundary element formulation using the fractional step method for the incompressible Navier–Stokes equations

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2009.01.010 ◽

2009 ◽

Vol 33 (6) ◽

pp. 741-749 ◽

Cited By ~ 5

Author(s):

Chang-Yong Choi ◽

Elias Balaras

Keyword(s):

Boundary Element ◽

Stokes Equations ◽

Navier Stokes ◽

Element Formulation ◽

Fractional Step ◽

Step Method ◽

Fractional Step Method ◽

Navier Stokes Equations

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A FRACTIONAL STEP METHOD FOR THE SOLUTION OF THE COMPRESSIBLE NAVIER–STOKES EQUATIONS

Computational Fluid Dynamics Review 1998 ◽

10.1142/9789812812957_0017 ◽

1998 ◽

pp. 331-347

Author(s):

R. CODINA ◽

M. VÁZQUEZ ◽

O.C. ZIENKIEWICZ

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Fractional Step ◽

Step Method ◽

Fractional Step Method ◽

Navier Stokes Equations

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Convergence analysis of an implicit fractional-step method for the incompressible Navier–Stokes equations

Applied Mathematical Modelling ◽

10.1016/j.apm.2011.05.042 ◽

2011 ◽

Vol 35 (12) ◽

pp. 5856-5871 ◽

Cited By ~ 6

Author(s):

Xinlong Feng ◽

Yinnian He ◽

Demin Liu

Keyword(s):

Convergence Analysis ◽

Stokes Equations ◽

Navier Stokes ◽

Fractional Step ◽

Step Method ◽

Fractional Step Method ◽

Navier Stokes Equations

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Application of a fractional-step method to incompressible Navier-Stokes equations

Journal of Computational Physics ◽

10.1016/0021-9991(85)90148-2 ◽

1985 ◽

Vol 59 (2) ◽

pp. 308-323 ◽

Cited By ~ 1945

Author(s):

J Kim ◽

P Moin

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Fractional Step ◽

Step Method ◽

Fractional Step Method ◽

Navier Stokes Equations

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A stabilized implicit fractional-step method for the time-dependent Navier–Stokes equations using equal-order pairs

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.03.026 ◽

2012 ◽

Vol 392 (2) ◽

pp. 209-224 ◽

Cited By ~ 7

Author(s):

Xinlong Feng ◽

Yinnian He ◽

Pengzhan Huang

Keyword(s):

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Fractional Step ◽

Step Method ◽

Fractional Step Method ◽

Navier Stokes Equations

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