An efficient high-order finite difference gas-kinetic scheme for the Euler and Navier–Stokes equations

Computers & Fluids ◽

10.1016/j.compfluid.2018.01.026 ◽

2018 ◽

Vol 166 ◽

pp. 243-252 ◽

Author(s):

Li-Jun Xuan ◽

Kun Xu

Keyword(s):

Finite Difference ◽

Stokes Equations ◽

Kinetic Scheme ◽

Navier Stokes ◽

Navier Stokes Equations ◽

High Order Finite Difference

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Boundary and Interface Conditions for High-Order Finite-Difference Methods Applied to the Euler and Navier–Stokes Equations

Journal of Computational Physics ◽

10.1006/jcph.1998.6133 ◽

1999 ◽

Vol 148 (2) ◽

pp. 621-645 ◽

Author(s):

Jan Nordström ◽

Mark H Carpenter

Keyword(s):

Finite Difference ◽

Stokes Equations ◽

Finite Difference Methods ◽

Navier Stokes ◽

Interface Conditions ◽

Navier Stokes Equations ◽

Difference Methods ◽

High Order Finite Difference

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A stable high-order finite difference scheme for the compressible Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2007.12.028 ◽

2008 ◽

Vol 227 (10) ◽

pp. 4805-4824 ◽

Author(s):

Magnus Svärd ◽

Jan Nordström

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

High Order Finite Difference

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A multi-zone high-order finite-difference method for the Navier-Stokes equations

10.2514/6.1995-1706 ◽

1995 ◽

Author(s):

Akil Rangwalla ◽

Man Rai

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

High Order Finite Difference

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A study of infrasound propagation based on high-order finite difference solutions of the Navier-Stokes equations

The Journal of the Acoustical Society of America ◽

10.1121/1.4864793 ◽

2014 ◽

Vol 135 (3) ◽

pp. 1083-1095 ◽

Author(s):

O. Marsden ◽

C. Bogey ◽

C. Bailly

Keyword(s):

Finite Difference ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

High Order Finite Difference

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Very high-order compact finite difference schemes on non-uniform grids for incompressible Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2006.11.007 ◽

2007 ◽

Vol 224 (2) ◽

pp. 1064-1094 ◽

Author(s):

Ratnesh K. Shukla ◽

Mahidhar Tatineni ◽

Xiaolin Zhong

Keyword(s):

Finite Difference ◽

Stokes Equations ◽

Difference Schemes ◽

Navier Stokes ◽

Finite Difference Schemes ◽

Navier Stokes Equations ◽

Compact Finite Difference ◽

Uniform Grids ◽

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A stable high-order finite difference scheme for the compressible Navier–Stokes equations, far-field boundary conditions

Journal of Computational Physics ◽

10.1016/j.jcp.2007.01.023 ◽

2007 ◽

Vol 225 (1) ◽

pp. 1020-1038 ◽

Author(s):

Magnus Svärd ◽

Mark H. Carpenter ◽

Jan Nordström

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Stokes Equations ◽

Navier Stokes ◽

Far Field ◽

Field Boundary ◽

Navier Stokes Equations ◽

High Order Finite Difference

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An efficient high-order least square-based finite difference-finite volume method for solution of compressible Navier-Stokes equations on unstructured grids

Computers & Fluids ◽

10.1016/j.compfluid.2021.104926 ◽

2021 ◽

Vol 222 ◽

pp. 104926

Author(s):

Y.Y. Liu ◽

C. Shu ◽

H.W. Zhang ◽

L.M. Yang ◽

Cunbiao Lee

Keyword(s):

Finite Difference ◽

Finite Volume Method ◽

Finite Volume ◽

Stokes Equations ◽

Unstructured Grids ◽

Least Square ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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A High-Order Accurate Compact Finite Difference Algorithm for the Incompressible Navier-Stokes Equations

Recent Advances in DNS and LES - Fluid Mechanics and its Applications ◽

10.1007/978-94-011-4513-8_33 ◽

1999 ◽

pp. 385-396

Author(s):

R. Steijl ◽

H. W. M. Hoeijmakers

Keyword(s):

Finite Difference ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Compact Finite Difference

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

10.21236/ada364301 ◽

1998 ◽

Author(s):

Datta V. Gaitonde ◽

Miguel R. Visbal

Keyword(s):

Stokes Equations ◽

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 ◽

Navier Stokes ◽

Navier Stokes Equations

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