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A ψ-ω finite element formulations for the Navier-Stokes equations (1981)

Dhatt, Gouri ; Fomo, Bonaventure Kamga ; Bourque, Claude

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 17 (1981), S. 199-212

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ISSN: 0029-5981

Keywords: Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: A new method of solving the two-dimensional Navier-Stokes equations by using the finite element method is proposed. The flow is represented by the stream function-vorticity formulation and the no-slip boundary conditions are explicitly introduced in the nonlinear equations. This formulation coupled with the Newton-Raphson method enables the study of stationary flows for high Reynolds number, without any convergence problem. A number of flow problems are analysed in order to demonstrate the efficiency of the present formulation.

Additional Material: 9 Ill.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/nme.1620170205

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