Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 85, 2008 - Issue 10: INNOVATIVE ALGORITHMS IN SCIENCE AND ENGINEERING
Submit an article Journal homepage
57
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

Shape optimization of body located in incompressible viscous flow

Hiroshi Ishiyama Department of Civil Engineering, Chuo University, Bunkyo-ku, Tokyo, Japan
&
Mutsuto Kawahara Department of Civil Engineering, Chuo University, Bunkyo-ku, Tokyo, JapanCorrespondence[email protected]
Pages 1515-1530 | Received 29 Jun 2006, Accepted 19 Nov 2007, Published online: 01 Sep 2008

References

  • Bourot , J. M. 1974 . On the numerical computation of the optimum profile in Stokes flow . J. Fluid Mech. , 65 : 513 – 515 .
  • Brooks , A. N. and Hughes , T. J.R. 1982 . Streamline upwind/Petrov–Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier–Stokes equations . Comput. Methods Appl. Mech. Eng. , 32 : 199 – 259 .
  • Hughes , T. J.R. , Franca , L. P. and Balestra , M. 1986 . A new finite element formulation for computational fluid dynamics, V. Circumventing the Babuska-Brezzi condition, A stable Petrov–Galerkin formulation of the Stokes problem accommodating equal order interpolation . Comput. Methods. Appl. Mech. Eng. , 59 : 85 – 99 .
  • Imam , M. H. 1982 . Three-dimensional shape optimization . Int. J. Num. Methods Eng. , 18 : 661 – 673 .
  • Maruoka , A. and Kawahara , M. 1998 . Optimal control in Navier–Stokes equation . Int. J. Comput. Fluid Dyn. , 9 : 313 – 322 .
  • Ogawa , Y. and Kawahara , M. 2003 . Shape optimization of a body located in incompressible viscous flow based on optimal control theory . Int. J. Comput. Fluid Dyn. , 17 ( 4 ) : 243 – 251 .
  • Okumura , H. and Kawahara , M. 2000 . Shape optimization of body located in incompressible viscous flow based on optimal control theory . CMES , 1 ( 2 ) : 71 – 77 .
  • Pironneau , O. 1973 . On optimum profiles in Stokes flow . J. Fluid Mech. , 59 : 117 – 128 .
  • Pironneau , O. 1974 . On optimum design in fluid mechanics . J. Fluid Mech. , 64 : 97 – 110 .
  • Tezduyar , T. E. , Beha , M. and Liou , J. 1992 . A new strategy for finite element computations in volving moving boundaries and interfaces – the deforming-spatial-domain/space-time procedure . Comput. Methods Appl. Mech. Eng. , 95 : 339 – 351 .
  • Tezduyar , T. E. , Mittal , S. , Ray , S. E. and Shih , R. 1992 . Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements . Comput. Methods Appl. Mech. Eng. , 95 : 221 – 242 .
  • Yagi , H. and Kawahara , M. 2005 . Shape optimization of a body located in low Reynolds number flow . Int. J. Num. Methods Fluid , 48

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.