Non-linear implicit scheme using Newton's method for the numerical solution of the Navier-Stokes equations

Aerospace Science and Technology ◽

10.1016/s1270-9638(98)80050-3 ◽

1998 ◽

Vol 2 (3) ◽

pp. 157-166 ◽

Author(s):

Jacques Peter

Keyword(s):

Numerical Solution ◽

Newton’S Method ◽

Newton's Method ◽

Stokes Equations ◽

Implicit Scheme ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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Newton's method applied to finite-difference approximations for the steady-state compressible Navier-Stokes equations

Journal of Computational Physics ◽

10.1016/0021-9991(91)90075-v ◽

1991 ◽

Vol 93 (1) ◽

pp. 108-127 ◽

Author(s):

Harry E Bailey ◽

Richard M Beam

Keyword(s):

Steady State ◽

Finite Difference ◽

Newton’S Method ◽

Newton's Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Finite Difference Approximations ◽

Difference Approximations

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Newton's method applied to finite-difference approximations for the steady-state compressible Navier-Stokes equations

Journal of Computational Physics ◽

10.1016/0021-9991(90)90126-l ◽

1990 ◽

Vol 89 (1) ◽

pp. 251

Author(s):

Harry E Bailey ◽

Richard M Beam

Keyword(s):

Steady State ◽

Finite Difference ◽

Newton’S Method ◽

Newton's Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Finite Difference Approximations ◽

Difference Approximations

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A fully implicit direct Newton's method for the steady-state Navier-Stokes equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1650170602 ◽

1993 ◽

Vol 17 (6) ◽

pp. 449-461 ◽

Author(s):

Dana A. Knoll ◽

Paul R. McHugh

Keyword(s):

Steady State ◽

Newton’S Method ◽

Newton's Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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Newton's method solver for the axisymmetric Navier-Stokes equations

AIAA Journal ◽

10.2514/3.11094 ◽

1992 ◽

Vol 30 (6) ◽

pp. 1507-1514 ◽

Author(s):

Paul D. Orkwis ◽

D. Scott McRae

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Numerical study and CFD Simulations of Incompressible Newtonian Flow by Solving steady Navier-stokes equations using Newton’s method

JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES ◽

10.26782/jmcms.2015.01.00005 ◽

2015 ◽

Vol 9 (2) ◽

pp. 1404-1420

Author(s):

K. M. Helal

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Stokes Equations ◽

Numerical Study ◽

Navier Stokes ◽

Newtonian Flow ◽

Cfd Simulations ◽

Navier Stokes Equations

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Certain aspects of applying Newton’s method to the Navier-Stokes equations

Doklady Mathematics ◽

10.1134/s1064562409030144 ◽

2009 ◽

Vol 79 (3) ◽

pp. 351-355 ◽

Author(s):

M. E. Bogovskii

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Newton’s Method for the Navier-Stokes Equations

Computational Mechanics ’88 ◽

10.1007/978-3-642-61381-4_385 ◽

1988 ◽

pp. 1457-1460

Author(s):

Richard M. Beam ◽

Harry E. Bailey

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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A Domain Decomposition Based Parallel Inexact Newton’s Method with Subspace Correction for Incompressible Navier-Stokes Equations

Lecture Notes in Computer Science - Computational Science – ICCS 2009 ◽

10.1007/978-3-642-01970-8_79 ◽

2009 ◽

pp. 795-803

Author(s):

Xiao-Chuan Cai ◽

Xuefeng Li

Keyword(s):

Domain Decomposition ◽

Newton’S Method ◽

Newton's Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Subspace Correction

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A Newton's method solver for the axisymmetric Navier-Stokes equations

10.2514/6.1991-1554 ◽

1991 ◽

Author(s):

PAUL ORKWIS ◽

D. MCRAE

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Error estimate and regularity for the compressible Navier-Stokes equations by Newton's method

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10061 ◽

2003 ◽

Vol 19 (4) ◽

pp. 511-524 ◽

Author(s):

Sang Dong Kim ◽

Yong Hun Lee

Keyword(s):

Error Estimate ◽

Newton’S Method ◽

Newton's Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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