An accurate and robust finite volume scheme based on the spline interpolation for solving the Euler and Navier–Stokes equations on non-uniform curvilinear grids

Journal of Computational Physics ◽

10.1016/j.jcp.2014.12.050 ◽

2015 ◽

Vol 284 ◽

pp. 648-667 ◽

Author(s):

Qiuju Wang ◽

Yu-Xin Ren

Keyword(s):

Finite Volume ◽

Stokes Equations ◽

Spline Interpolation ◽

Navier Stokes ◽

Finite Volume Scheme ◽

Navier Stokes Equations ◽

Volume Scheme ◽

Curvilinear Grids

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Perturbational finite volume scheme for the one-dimensional Navier-Stokes equations

Shock Waves ◽

10.1007/978-3-540-27009-6_182 ◽

2005 ◽

pp. 1181-1186

Author(s):

Y. Q. Shen ◽

Z. Gao ◽

G. W. Yang

Keyword(s):

Finite Volume ◽

Stokes Equations ◽

Navier Stokes ◽

Finite Volume Scheme ◽

Navier Stokes Equations ◽

One Dimensional ◽

Volume Scheme ◽

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Stability of a colocated finite volume scheme for the Navier-Stokes equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20036 ◽

2005 ◽

Vol 21 (2) ◽

pp. 242-271 ◽

Author(s):

S. Faure

Keyword(s):

Finite Volume ◽

Stokes Equations ◽

Navier Stokes ◽

Finite Volume Scheme ◽

Navier Stokes Equations ◽

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High-order accurate and high-resolution upwind finite volume scheme for solving euler/reynolds-averaged Navier-Stokes equations

Acta Mechanica Sinica ◽

10.1007/bf02486826 ◽

1998 ◽

Vol 14 (1) ◽

pp. 10-17

Author(s):

Wang Baoguo ◽

Guo Yanhu ◽

Liu Qiusheng ◽

Shen Mengyu

Keyword(s):

High Resolution ◽

Finite Volume ◽

Stokes Equations ◽

Navier Stokes ◽

Finite Volume Scheme ◽

Navier Stokes Equations ◽

Volume Scheme ◽

Reynolds Averaged Navier Stokes

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An adaptive multigrid finite-volume scheme for incompressible Navier-Stokes equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1650170804 ◽

1993 ◽

Vol 17 (8) ◽

pp. 687-710 ◽

Author(s):

San-Yih Lin ◽

Tsuen-Muh Wu

Keyword(s):

Finite Volume ◽

Stokes Equations ◽

Navier Stokes ◽

Finite Volume Scheme ◽

Navier Stokes Equations ◽

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Numerical study of a finite volume scheme for incompressible Navier-Stokes equations based on SIMPLE-family algorithms

10.1063/1.4972596 ◽

2017 ◽

Author(s):

M. Alahyane ◽

A. Hakim ◽

S. Raghay

Keyword(s):

Finite Volume ◽

Stokes Equations ◽

Numerical Study ◽

Navier Stokes ◽

Finite Volume Scheme ◽

Navier Stokes Equations ◽

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Convergence Analysis of a Colocated Finite Volume Scheme for the Incompressible Navier–Stokes Equations on General 2D or 3D Meshes

SIAM Journal on Numerical Analysis ◽

10.1137/040613081 ◽

2007 ◽

Vol 45 (1) ◽

pp. 1-36 ◽

Author(s):

R. Eymard ◽

R. Herbin ◽

J. C. Latché

Keyword(s):

Convergence Analysis ◽

Finite Volume ◽

Stokes Equations ◽

Navier Stokes ◽

Finite Volume Scheme ◽

Navier Stokes Equations ◽

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Quadrature-Free Non-Oscillation Finite Volume Scheme for Solving Navier-Stokes Equations on Unstructured grids

10.1063/1.3652000 ◽

2011 ◽

Author(s):

W. A. Li ◽

Y. X. Ren ◽

Jiachun Li ◽

Song Fu

Keyword(s):

Finite Volume ◽

Stokes Equations ◽

Unstructured Grids ◽

Navier Stokes ◽

Finite Volume Scheme ◽

Navier Stokes Equations ◽

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A new colocated finite volume scheme for the incompressible Navier–Stokes equations on general non matching grids

Comptes Rendus Mathematique ◽

10.1016/j.crma.2007.03.025 ◽

2007 ◽

Vol 344 (10) ◽

pp. 659-662 ◽

Author(s):

Robert Eymard ◽

Raphaèle Herbin

Keyword(s):

Finite Volume ◽

Stokes Equations ◽

Navier Stokes ◽

Finite Volume Scheme ◽

Navier Stokes Equations ◽

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An implicit high order finite volume scheme for the solution of 3D Navier–Stokes equations with new discretization of diffusive terms

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.04.066 ◽

2008 ◽

Vol 215 (2) ◽

pp. 595-601 ◽

Author(s):

J.-M. Vaassen ◽

D. Vigneron ◽

J.-A. Essers

Keyword(s):

Finite Volume ◽

Stokes Equations ◽

Navier Stokes ◽

Finite Volume Scheme ◽

Navier Stokes Equations ◽

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An entropy stable finite volume scheme for the two dimensional Navier–Stokes equations on triangular grids

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.07.020 ◽

2017 ◽

Vol 314 ◽

pp. 257-286 ◽

Author(s):

Deep Ray ◽

Praveen Chandrashekar

Keyword(s):

Finite Volume ◽

Stokes Equations ◽

Navier Stokes ◽

Finite Volume Scheme ◽

Two Dimensional ◽

Navier Stokes Equations ◽

Volume Scheme ◽

Triangular Grids ◽

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