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

Ercan Erturk

doi:10.1002/fld.1920

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 ◽

Cited By ~ 5

Author(s):

Ercan Erturk

Keyword(s):

Fourth Order ◽

Stokes Equations ◽

Navier Stokes ◽

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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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 ◽

Cited By ~ 2

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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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 ◽

High Reynolds

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Compact fourth-order finite volume method for numerical solutions of Navier–Stokes equations on staggered grids

Journal of Computational Physics ◽

10.1016/j.jcp.2010.05.042 ◽

2010 ◽

Vol 229 (20) ◽

pp. 7545-7570 ◽

Cited By ~ 47

Author(s):

Arpiruk Hokpunna ◽

Michael Manhart

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Fourth Order ◽

Numerical Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Staggered Grids ◽

Volume Method

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Domain Decomposition and the Compact Fourth-Order Algorithm for the Navier-Stokes Equations

Journal of Computational Physics ◽

10.1006/jcph.1995.1007 ◽

1995 ◽

Vol 116 (1) ◽

pp. 79-96 ◽

Cited By ~ 8

Author(s):

J. Rokicki ◽

J.M. Floryan

Keyword(s):

Domain Decomposition ◽

Fourth Order ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Order Algorithm

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Fourth-order central compact scheme for the numerical solution of incompressible Navier–Stokes equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2017.1284315 ◽

2017 ◽

Vol 94 (12) ◽

pp. 2492-2507 ◽

Cited By ~ 2

Author(s):

Abdullah Shah ◽

Hassan Fayyaz ◽

Muhammad Rizwan

Keyword(s):

Numerical Solution ◽

Fourth Order ◽

Stokes Equations ◽

Compact Scheme ◽

Navier Stokes ◽

Navier Stokes Equations

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A fourth-order-accurate difference approximation for the incompressible Navier-Stokes equations

Computers & Fluids ◽

10.1016/0045-7930(94)90053-1 ◽

1994 ◽

Vol 23 (4) ◽

pp. 575-593 ◽

Cited By ~ 30

Author(s):

William D. Henshaw ◽

Heinz-Otto Kreiss ◽

Luis G.M. Reyna

Keyword(s):

Fourth Order ◽

Stokes Equations ◽

Navier Stokes ◽

Difference Approximation ◽

Navier Stokes Equations

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Fourth-order compact formulation of Navier-Stokes equations and driven cavity flow at high Reynolds numbers

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1061 ◽

2005 ◽

Vol 50 (4) ◽

pp. 421-436 ◽

Cited By ~ 75

Author(s):

E. Erturk ◽

C. Gökçöl

Keyword(s):

Fourth Order ◽

Stokes Equations ◽

Reynolds Numbers ◽

Cavity Flow ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Driven Cavity ◽

High Reynolds Numbers ◽

Compact Formulation ◽

High Reynolds

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A two-stage fourth-order gas-kinetic CPR method for the Navier-Stokes equations on triangular meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110830 ◽

2021 ◽

pp. 110830

Author(s):

Chao Zhang ◽

Qibing Li ◽

Z.J. Wang ◽

Jiequan Li ◽

Song Fu

Keyword(s):

Fourth Order ◽

Stokes Equations ◽

Navier Stokes ◽

Triangular Meshes ◽

Two Stage ◽

Navier Stokes Equations

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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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