A Consistent Fourth-Order Compact Finite Difference Scheme for Solving Vorticity-Stream Function Form of Incompressible Navier-Stokes Equations

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2018-0043 ◽

2019 ◽

Vol 12 (1) ◽

pp. 312-330 ◽

Author(s):

Tao Wang and Tiegang Liu

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Stokes Equations ◽

Navier Stokes ◽

Function Form ◽

Navier Stokes Equations ◽

Compact Finite Difference Scheme ◽

Stream Function Form

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Fourth-order finite difference scheme for the incompressible Navier-Stokes equations in a disk

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.558 ◽

2003 ◽

Vol 42 (8) ◽

pp. 909-922 ◽

Author(s):

Ming-Chih Lai

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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A compact fourth-order finite difference scheme for the steady incompressible Navier-Stokes equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1650201003 ◽

1995 ◽

Vol 20 (10) ◽

pp. 1137-1151 ◽

Author(s):

Ming Li ◽

Tao Tang ◽

Bengt Fornberg

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier–Stokes equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.10.001 ◽

2010 ◽

Vol 215 (9) ◽

pp. 3201-3213 ◽

Author(s):

Abdullah Shah ◽

Li Yuan ◽

Aftab Khan

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Stokes Equations ◽

Accurate Solution ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

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Finite-Difference Scheme for Stationary Navier-Stokes Equations with Variable Coefficients

Nonlinear Partial Differential Equations in Engineering and Applied Science ◽

10.1201/9780203745465-23 ◽

2017 ◽

pp. 343-371

Author(s):

Jerzyna Slomczynska ◽

Zbigniew Peradzyński

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Stokes Equations ◽

Variable Coefficients ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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An implicit finite difference scheme for the compressible Navier-Stokes equations

10.2514/6.1987-546 ◽

1987 ◽

Author(s):

G. DEGREZ ◽

F. MENTER ◽

J. ESSERS

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Implicit Finite Difference Scheme ◽

Implicit Finite Difference

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Finite difference scheme based on proper orthogonal decomposition for the nonstationary Navier-Stokes equations

Science in China Series A Mathematics ◽

10.1007/s11425-007-0081-9 ◽

2007 ◽

Vol 50 (8) ◽

pp. 1186-1196 ◽

Author(s):

Zhen-dong Luo ◽

Rui-wen Wang ◽

Jiang Zhu

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Proper Orthogonal Decomposition ◽

Finite Difference Scheme ◽

Stokes Equations ◽

Orthogonal Decomposition ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Proper Orthogonal

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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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On a new finite-difference scheme for the non-stationary Navier-Stokes equations

Colloquium Mathematicum ◽

10.4064/cm-19-1-143-155 ◽

1968 ◽

Vol 19 (1) ◽

pp. 143-155 ◽

Author(s):

A. Krzywicki

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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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 conservative, skew-symmetric finite difference scheme for the compressible Navier–Stokes equations

Computers & Fluids ◽

10.1016/j.compfluid.2014.06.004 ◽

2014 ◽

Vol 101 ◽

pp. 208-219 ◽

Author(s):

Julius Reiss ◽

Jörn Sesterhenn

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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