Finite Element Solution of a Stream Function-Vorticity System and Its Application to the Navier Stokes Equations

Fattehallah Ghadi; Vitoriano Ruas; Mohamed Wakrim

doi:10.4236/am.2013.41a039

Finite Element Solution of a Stream Function-Vorticity System and Its Application to the Navier Stokes Equations

Applied Mathematics ◽

10.4236/am.2013.41a039 ◽

2013 ◽

Vol 04 (01) ◽

pp. 257-262

Author(s):

Fattehallah Ghadi ◽

Vitoriano Ruas ◽

Mohamed Wakrim

Keyword(s):

Finite Element ◽

Stream Function ◽

Stokes Equations ◽

Finite Element Solution ◽

Navier Stokes ◽

Element Solution ◽

Navier Stokes Equations

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Finite-element solution of navier-stokes equations for transient two-dimensional incompressible flow

Journal of Computational Physics ◽

10.1016/0021-9991(75)90052-2 ◽

1975 ◽

Vol 17 (3) ◽

pp. 235-245 ◽

Cited By ~ 26

Author(s):

S.L. Smith ◽

C.A. Brebbia

Keyword(s):

Finite Element ◽

Incompressible Flow ◽

Stokes Equations ◽

Finite Element Solution ◽

Navier Stokes ◽

Two Dimensional ◽

Element Solution ◽

Navier Stokes Equations

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A modal analysis for the finite element solution of Navier-Stokes equations

Proceedings of the Fifth International Conference on Numerical Methods in Fluid Dynamics June 28 – July 2, 1976 Twente University, Enschede - Lecture Notes in Physics ◽

10.1007/3-540-08004-x_315 ◽

1976 ◽

pp. 185-190

Author(s):

Akin Ecer

Keyword(s):

Finite Element ◽

Modal Analysis ◽

Stokes Equations ◽

Finite Element Solution ◽

Navier Stokes ◽

Element Solution ◽

Navier Stokes Equations

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FINITE-ELEMENT SOLUTION OF THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

Numerical Heat Transfer ◽

10.1080/10407788208913459 ◽

1982 ◽

Vol 5 (4) ◽

pp. 463-478 ◽

Cited By ~ 32

Author(s):

G. Comini ◽

S. Del Giudice

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Finite Element Solution ◽

Navier Stokes ◽

Element Solution ◽

Navier Stokes Equations

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Finite-Element Solution of the Incompressible Navier-Stokes Equations

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407798208546997 ◽

1982 ◽

Vol 5 (4) ◽

pp. 463-478 ◽

Cited By ~ 2

Author(s):

G. Comini ◽

S. Del Giudice

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Finite Element Solution ◽

Navier Stokes ◽

Element Solution ◽

Navier Stokes Equations

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FINITE-ELEMENT SOLUTION PROCEDURES FOR SOLVING THE INCOMPRESSIBLE, NAVIER-STOKES EQUATIONS USING EQUAL ORDER VARIABLE INTERPOLATION

Numerical Heat Transfer ◽

10.1080/10407787808913388 ◽

1978 ◽

Vol 1 (4) ◽

pp. 433-451 ◽

Cited By ~ 31

Author(s):

G. E. Schneider ◽

G. D. Raithby ◽

M. M. Yovanovich

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Finite Element Solution ◽

Navier Stokes ◽

Element Solution ◽

Navier Stokes Equations ◽

Order Variable

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Finite Element Solution of the 3D Compressible Navier-Stokes Equations by a Velocity-Vorticity Method

Journal of Computational Physics ◽

10.1006/jcph.1993.1134 ◽

1993 ◽

Vol 107 (1) ◽

pp. 176-187 ◽

Cited By ~ 26

Author(s):

G. Guevremont ◽

W.G. Habashi ◽

P.L. Kotiuga ◽

M.M. Hafez

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Finite Element Solution ◽

Navier Stokes ◽

Element Solution ◽

Navier Stokes Equations

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A transient finite element solution method for the Navier-Stokes equations

Computers & Fluids ◽

10.1016/0045-7930(78)90021-x ◽

1978 ◽

Vol 6 (3) ◽

pp. 141-152 ◽

Cited By ~ 7

Author(s):

Shih-yu Tuann ◽

Mervyn D. Olson

Keyword(s):

Finite Element ◽

Solution Method ◽

Stokes Equations ◽

Finite Element Solution ◽

Navier Stokes ◽

Element Solution ◽

Navier Stokes Equations

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ADDING THE TIME‐DEPENDENT TERMS TO A SEGREGATED FINITE ELEMENT SOLUTION OF THE INCOMPRESSIBLE NAVIER—STOKES EQUATIONS

Engineering Computations ◽

10.1108/eb023841 ◽

1991 ◽

Vol 8 (4) ◽

pp. 305-316 ◽

Cited By ~ 1

Author(s):

C.T. SHAW

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Time Dependent ◽

Finite Element Solution ◽

Navier Stokes ◽

Element Solution ◽

Navier Stokes Equations

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Finite element solution of the Navier-Stokes equations for two-dimensional steady flow through a section of a canine aorta model

Journal of Biomechanics ◽

10.1016/0021-9290(78)90050-7 ◽

1978 ◽

Vol 11 (5) ◽

pp. 241-249 ◽

Cited By ~ 16

Author(s):

V.V. Gokhale ◽

R.I. Tanner ◽

K.B. Bischoff

Keyword(s):

Finite Element ◽

Steady Flow ◽

Stokes Equations ◽

Finite Element Solution ◽

Navier Stokes ◽

Two Dimensional ◽

Element Solution ◽

Navier Stokes Equations ◽

Flow Through ◽

Canine Aorta

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Finite element solution of the Navier-Stokes equations by a velocity-vorticity method

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1650110511 ◽

1990 ◽

Vol 11 (5) ◽

pp. 661-675 ◽

Cited By ~ 7

Author(s):

G. Guevremont ◽

W. G. Habashi ◽

M. M. Hafez

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Finite Element Solution ◽

Navier Stokes ◽

Element Solution ◽

Navier Stokes Equations

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