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INCOMPRESSIBLE FLUID FLOW BY THE MACCORMACK METHOD

Martins, M. M.; Bressan, J. D.; Button, S. T.;

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The laminar incompressible fluid flow by computational numerical simulation often appears in numerical analysis in academic and industrial activities. In order to solve this kind of flow, it is necessary to determine the velocity and pressure fields which are the variables of Navier-Stockes equations[11,15,21]. However, to solve the equations of fluid flow with losses there is no simple equation to carry out velocity and pressure coupling, hence, it is necessary to use a coupling method to obtain velocity and pressure fields consistent[1,2,3]. This work deals with the presentation of a numerical method to calculate velocity and pressure fields to computational numerical simulation of laminar fluid incompressible flow with losses. The Navier-Stockes equations were discretized by the Finite Volume Method[11,15,21], using explicit MacCormack Method[21] in co-localized and structured mesh[11,15,21], where velocity and pressure coupling was made by SIMPLE method[11,21]. The MacCormack method is a two-steps method (predictor-corrector) of second-order accuracy in both space and time and this method is commonly utilized in the resolution of compressible fluids problems[21]. The numerical results of velocity fields were obtained for bi-dimensional case and it was compared with analytical results for parallel plates.

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Palavras-chave: incompressible fluid, finite volume method, MacCormack Method, SIMPLE, velocity field.,

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DOI: 10.5151/meceng-wccm2012-18480

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Como citar:

Martins, M. M.; Bressan, J. D.; Button, S. T.; "INCOMPRESSIBLE FLUID FLOW BY THE MACCORMACK METHOD", p. 1587-1600 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-18480

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