An Integrated Procedure for Shape Optimization Applied to Fluid Flow

Authors

  • L.M. Steffens
  • M.K. Alves

DOI:

https://doi.org/10.5540/tema.2006.07.02.0371

Abstract

This work proposes an integrated numerical procedure for the shape optimization of fluid flow problems. The procedure is named integrated since it combines various distinct modules for the solution to the problem, such as: geometric modeling, mesh generation for finite elements, nonlinear analysis of the fluid flow, sensitivity analysis, mathematical programming and shape optimization. The problem consists in the optimization of the contour shapes, aiming the reduction of the viscous dissipation produced by the flow around a given body or channel.

References

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E. Erturk, T.C. Corke, Numerical Solutions of 2-D Steady Incompressible Driven Cavity Flow at High Reynolds Numbers, International Journal for Numerical Methods in Fluids, 48, (2005), 747-774.

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M.E. Mortenson, “Geometric Modeling”, John Wiley & Sons, New York, 1997.

B.D. Reddy, “Introductory Functional Analysis with Applications to Boundary Value Problems Finite Elements”, Springer, New York, 1997.

L.M. Steffens, “Desenvolvimento de uma Metodologia Integrada para Otimização de Forma de Mecânica de Fluidos”, Dissertação de Mestrado, EMC, UFSC, Florianópolis, SC, 2005.

R. Temam, “Navier-Stokes Equations”, Elsevier Science Publishers Company, Inc., New York, 1991.

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Published

2006-06-01

How to Cite

Steffens, L., & Alves, M. (2006). An Integrated Procedure for Shape Optimization Applied to Fluid Flow. Trends in Computational and Applied Mathematics, 7(2), 371–380. https://doi.org/10.5540/tema.2006.07.02.0371

Issue

Vol. 7 No. 2 (2006)

Section

Original Article

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