A high‐order compact scheme for solving the 2D steady incompressible Navier‐Stokes equations in general curvilinear coordinates

Jinqiang Chen; Peixiang Yu; Zhen F. Tian; Hua Ouyang

doi:10.1002/fld.4791

A high‐order compact scheme for solving the 2D steady incompressible Navier‐Stokes equations in general curvilinear coordinates

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4791 ◽

2020 ◽

Vol 92 (5) ◽

pp. 456-477

Author(s):

Jinqiang Chen ◽

Peixiang Yu ◽

Zhen F. Tian ◽

Hua Ouyang

Keyword(s):

Stokes Equations ◽

High Order ◽

Compact Scheme ◽

Curvilinear Coordinates ◽

Navier Stokes ◽

Navier Stokes Equations ◽

High Order Compact Scheme

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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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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 High Order Compact Scheme for the Pure-Streamfunction Formulation of the Navier-Stokes Equations

Journal of Scientific Computing ◽

10.1007/s10915-009-9322-0 ◽

2009 ◽

Vol 42 (2) ◽

pp. 216-250 ◽

Cited By ~ 23

Author(s):

M. Ben-Artzi ◽

J.-P. Croisille ◽

D. Fishelov

Keyword(s):

Stokes Equations ◽

High Order ◽

Compact Scheme ◽

Navier Stokes ◽

Navier Stokes Equations ◽

High Order Compact Scheme

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An efficient high-order compact scheme for the unsteady compressible Euler and Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2016.06.050 ◽

2016 ◽

Vol 322 ◽

pp. 365-386 ◽

Cited By ~ 2

Author(s):

A. Lerat

Keyword(s):

Stokes Equations ◽

High Order ◽

Compact Scheme ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Compressible Euler ◽

High Order Compact Scheme

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Implicit preconditioned high-order compact scheme for the simulation of the three-dimensional incompressible Navier-Stokes equations with pseudo-compressibility method

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.2629 ◽

2011 ◽

Vol 69 (7) ◽

pp. 1165-1185 ◽

Cited By ~ 5

Author(s):

ZhanSen Qian ◽

JingBai Zhang

Keyword(s):

Stokes Equations ◽

Three Dimensional ◽

High Order ◽

Compact Scheme ◽

Navier Stokes ◽

Navier Stokes Equations ◽

High Order Compact Scheme

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High-Order Schemes for Navier-Stokes Equations: Algorithm and Implementation Into FDL3DI

10.21236/ada364301 ◽

1998 ◽

Cited By ~ 317

Author(s):

Datta V. Gaitonde ◽

Miguel R. Visbal

Keyword(s):

Stokes Equations ◽

High Order ◽

Navier Stokes ◽

Navier Stokes Equations ◽

High Order Schemes

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High-Order Space-time Discontinuous Galerkin Cell Vertex Scheme toward Compressible Navier Stokes Equations

10.21236/ada567654 ◽

2012 ◽

Author(s):

Shuangzhang Tu

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equations ◽

Space Time ◽

High Order ◽

Navier Stokes ◽

Navier Stokes Equations

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A semi-implicit high-order space-time scheme on staggered meshes for the 2D incompressible Navier-Stokes equations

10.1063/5.0031654 ◽

2020 ◽

Author(s):

Francesco Lohengrin Romeo

Keyword(s):

Stokes Equations ◽

Space Time ◽

High Order ◽

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 SHORT NOTE ON HIGH-ORDER STREAMFUNCTION-VORTICITY FORMULATIONS OF 2D STEADY STATE NAVIER-STOKES EQUATIONS

International Journal for Numerical Methods in Fluids ◽

10.1002/(sici)1097-0363(19960115)22:1<1::aid-fld314>3.0.co;2-5 ◽

1996 ◽

Vol 22 (1) ◽

pp. 1-9 ◽

Cited By ~ 25

Author(s):

LIAO SHI-JUN ◽

ZHU JI-MAO

Keyword(s):

Steady State ◽

Stokes Equations ◽

Short Note ◽

High Order ◽

Navier Stokes ◽

Navier Stokes Equations

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