An efficient and accurate two-stage fourth-order gas-kinetic scheme for the Euler and Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2016.08.054 ◽

2016 ◽

Vol 326 ◽

pp. 197-221 ◽

Author(s):

Liang Pan ◽

Kun Xu ◽

Qibing Li ◽

Jiequan Li

Keyword(s):

Fourth Order ◽

Stokes Equations ◽

Kinetic Scheme ◽

Navier Stokes ◽

Two Stage ◽

Navier Stokes Equations

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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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A compact fourth-order gas-kinetic scheme for the Euler and Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2018.06.034 ◽

2018 ◽

Vol 372 ◽

pp. 446-472 ◽

Author(s):

Xing Ji ◽

Liang Pan ◽

Wei Shyy ◽

Kun Xu

Keyword(s):

Fourth Order ◽

Stokes Equations ◽

Kinetic Scheme ◽

Navier Stokes ◽

Navier Stokes Equations

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Numerical methods for the compressible Navier-Stokes equations using an explicit time-marching technique (Comparison between the four stage Runge-Kutta and two stage Rational Runge-Kutta schemes)

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B ◽

10.1299/kikaib.52.3874 ◽

1986 ◽

Vol 52 (484) ◽

pp. 3874-3879

Author(s):

Masato FURUKAWA ◽

Hidetoshi TOMIOKA ◽

Masahiro INOUE

Keyword(s):

Numerical Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Two Stage ◽

Navier Stokes Equations ◽

Time Marching ◽

Runge Kutta ◽

Technique Comparison

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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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A two-stage pressure correction technique for the incompressible Navier-Stokes equations

10.2514/6.1987-545 ◽

1987 ◽

Author(s):

JAMES BENTSON ◽

GEORGE VRADIS

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Two Stage ◽

Navier Stokes Equations ◽

Pressure Correction ◽

Correction Technique

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Two-stage pressure correction technique for the incompressible Navier-Stokes equations

AIAA Journal ◽

10.2514/3.25185 ◽

1990 ◽

Vol 28 (7) ◽

pp. 1155-1156 ◽

Author(s):

James Bentson ◽

George Vradis

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Two Stage ◽

Navier Stokes Equations ◽

Pressure Correction ◽

Correction Technique

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Lattice kinetic scheme for the Navier-Stokes equations coupled with convection-diffusion equations

Physical Review E ◽

10.1103/physreve.98.033308 ◽

2018 ◽

Vol 98 (3) ◽

Author(s):

Liang Wang ◽

Weifeng Zhao ◽

Xiao-Dong Wang

Keyword(s):

Stokes Equations ◽

Kinetic Scheme ◽

Diffusion Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Convection Diffusion

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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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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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