A Residual-Based Compact Scheme for the Compressible Navier–Stokes Equations

Alain Lerat; Christophe Corre

doi:10.1006/jcph.2001.6755

A Residual-Based Compact Scheme for the Compressible Navier–Stokes Equations

Journal of Computational Physics ◽

10.1006/jcph.2001.6755 ◽

2001 ◽

Vol 170 (2) ◽

pp. 642-675 ◽

Cited By ~ 50

Author(s):

Alain Lerat ◽

Christophe Corre

Keyword(s):

Stokes Equations ◽

Compact Scheme ◽

Navier Stokes ◽

Navier Stokes Equations

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A residual-based compact scheme for the unsteady compressible Navier–Stokes equations

Computers & Fluids ◽

10.1016/j.compfluid.2003.08.003 ◽

2005 ◽

Vol 34 (4-5) ◽

pp. 561-580 ◽

Cited By ~ 32

Author(s):

C. Corre ◽

G. Hanss ◽

A. Lerat

Keyword(s):

Stokes Equations ◽

Compact Scheme ◽

Navier Stokes ◽

Navier Stokes Equations

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A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers’ and Navier-Stokes Equations in Polar Cylindrical Coordinates

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2020-0053 ◽

2021 ◽

Vol 14 (2) ◽

pp. 488-507

Author(s):

R.K. Mohanty

Keyword(s):

Stokes Equations ◽

Compact Scheme ◽

Navier Stokes ◽

Two Dimensional ◽

Cylindrical Coordinates ◽

Navier Stokes Equations

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Implicit eighth-order central compact scheme for the numerical simulation of steady and unsteady incompressible Navier–Stokes equations

International Journal of Computational Fluid Dynamics ◽

10.1080/10618562.2012.690511 ◽

2012 ◽

Vol 26 (4) ◽

pp. 247-261 ◽

Cited By ~ 7

Author(s):

JinBai Zhang ◽

ZhanSen Qian

Keyword(s):

Numerical Simulation ◽

Stokes Equations ◽

Compact Scheme ◽

Navier Stokes ◽

Eighth Order ◽

Navier Stokes Equations

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An efficient parallel high-order compact scheme for the 3D incompressible Navier–Stokes equations

International Journal of Computational Fluid Dynamics ◽

10.1080/10618562.2017.1326592 ◽

2017 ◽

Vol 31 (4-5) ◽

pp. 214-229 ◽

Cited By ~ 10

Author(s):

S. Abide ◽

M. S. Binous ◽

B. Zeghmati

Keyword(s):

Stokes Equations ◽

High Order ◽

Compact Scheme ◽

Navier Stokes ◽

Navier Stokes Equations ◽

High Order Compact Scheme

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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 Compact Scheme for the Streamfunction Formulation of Navier-Stokes Equations

Computational Science and Its Applications — ICCSA 2003 - Lecture Notes in Computer Science ◽

10.1007/3-540-44839-x_85 ◽

2003 ◽

pp. 809-817 ◽

Cited By ~ 5

Author(s):

D. Fishelov ◽

M. Ben-Artzi ◽

J.-P. Croisille

Keyword(s):

Stokes Equations ◽

Compact Scheme ◽

Navier Stokes ◽

Navier Stokes Equations

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A compact scheme for the streamfunction-velocity formulation of the 2D steady incompressible Navier-Stokes equations in polar coordinaes

Journal of Scientific Computing ◽

10.1007/s10915-012-9667-7 ◽

2012 ◽

Vol 56 (1) ◽

pp. 165-189 ◽

Cited By ~ 8

Author(s):

P. X. Yu ◽

Zhen F. Tian

Keyword(s):

Stokes Equations ◽

Compact Scheme ◽

Navier Stokes ◽

Navier Stokes Equations

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Compact scheme on a nonuniform grid for the ψ–ω-system of Navier-Stokes equations

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam-2001-0106 ◽

2001 ◽

Vol 16 (1) ◽

Author(s):

V. I. Paasonen

Keyword(s):

Stokes Equations ◽

Compact Scheme ◽

Navier Stokes ◽

Nonuniform Grid ◽

Navier Stokes Equations

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A high-order compact scheme for the pure streamfunction (vector potential) formulation of the 3D steady incompressible Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2018.12.027 ◽

2019 ◽

Vol 382 ◽

pp. 65-85 ◽

Cited By ~ 2

Author(s):

P.X. Yu ◽

Z.F. Tian

Keyword(s):

Vector Potential ◽

Stokes Equations ◽

High Order ◽

Compact Scheme ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Potential Formulation ◽

High Order Compact Scheme

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A Cartesian Compact Scheme for the Navier–Stokes Equations in Streamfunction Formulation in Irregular Domains

Journal of Scientific Computing ◽

10.1007/s10915-019-01012-2 ◽

2019 ◽

Vol 81 (3) ◽

pp. 1386-1408

Author(s):

Matania Ben-Artzi ◽

Jean-Pierre Croisille ◽

Dalia Fishelov

Keyword(s):

Stokes Equations ◽

Compact Scheme ◽

Navier Stokes ◽

Irregular Domains ◽

Navier Stokes Equations

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