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ISSN Imprimir: 1099-2391
ISSN En Línea: 2641-7359

Archives: Volume 1, 1999 to Volume 4, 2002

# Hybrid Methods in Engineering

DOI: 10.1615/HybMethEng.v3.i4.80
28 pages

## NUMERICAL SIMULATION OF THREE-DIMENSIONAL FLOW OVER CYLINDERS USING A HYBRID METHOD

Mauro Costa de Oliveira
Petrobras Research Center, CENPES Cidade Universitaria, Q. 7 Ilha do Fundao Rio de Janeiro, RJ, Brazil 21949-900
Sergio Hamilton Sphaier
Ocean Engineering Department - EP/COPPE/UFRJ, CP50508, 21945-970, Rio de Janeiro, RJ, Brazil

### SINOPSIS

Knowledge of fluid loading is essential to the design of deep water structures for oil production, particularly because of the fluid-structure interaction. This interaction gives rise to the phenomenon of vortex-induced vibrations, which can significantly reduce the fatigue life of cylindrical structures. This article proposes a hybrid numerical-analytical method to assess three-dimensional flows acting over cylinders. The incompressible Navier-Stokes equations in primitive variables are considered, and, in addition, the projection method is applied in order to attain a sequential procedure. Because the problem to be studied is the flow over cylinders, the dimension corresponding to the cylinder length is in a special situation, enabling the equations to be transformed following the generalized integral transform technique (GITT). This approach results in the change of a partial differential equation in three-dimensional coordinates by a system of two-dimensional equations in the transformed variables. The computational time reduction that this replacement allows is substantial. This new problem is discretized in space and time, using, respectively, the finite element and the finite difference methods. After that, the original variables are retrieved, and it is possible to calculate forces over the cylinder. In this article, the method is applied to a parallel-plate, two-dimensional channel and to a fixed three-dimensional cylinder.

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