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

[1] R. Aris, “Vectors, Tensors, and the Basic Equations of Fluid Mechanics”, Dover, New York, 1989.

J.S. Arora, “Introduction to Optimum Design”, McGraw-Hill, New York, 1989.

R. Codina, On Stabilized Finite Element Methods for Linear Sistems of Convection-Diffusion-Reaction Equations, Comp. Methods Appl. Mech. Eng., 188 (2000), 61-82.

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.

E. Hinton, J. Sienz, Reliable Structural Optimization with Error Estimation, Adaptivity and Robust Sensitivity Analysis, Computers & Structures, 4 (1997), 31-63.

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.

Downloads

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

License

Copyright

Authors of articles published in the journal Trends in Computational and Applied Mathematics retain the copyright of their work. The journal uses Creative Commons Attribution (CC-BY) in published articles. The authors grant the TCAM journal the right to first publish the article.

Intellectual Property and Terms of Use

The content of the articles is the exclusive responsibility of the authors. The journal uses Creative Commons Attribution (CC-BY) in published articles. This license allows published articles to be reused without permission for any purpose as long as the original work is correctly cited.

The journal encourages Authors to self-archive their accepted manuscripts, publishing them on personal blogs, institutional repositories, and social media, as long as the full citation is included in the journal's website version.