The topological asymptotic for the Navier-Stokes equations

Samuel Amstutz

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 11, Issue: 3, page 401-425
  • ISSN: 1292-8119

Abstract

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The aim of the topological asymptotic analysis is to provide an asymptotic expansion of a shape functional with respect to the size of a small inclusion inserted inside the domain. The main field of application is shape optimization. This paper addresses the case of the steady-state Navier-Stokes equations for an incompressible fluid and a no-slip condition prescribed on the boundary of an arbitrary shaped obstacle. The two and three dimensional cases are treated for several examples of cost functional and a numerical application is presented.

How to cite

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Amstutz, Samuel. "The topological asymptotic for the Navier-Stokes equations." ESAIM: Control, Optimisation and Calculus of Variations 11.3 (2010): 401-425. <http://eudml.org/doc/90770>.

@article{Amstutz2010,
abstract = { The aim of the topological asymptotic analysis is to provide an asymptotic expansion of a shape functional with respect to the size of a small inclusion inserted inside the domain. The main field of application is shape optimization. This paper addresses the case of the steady-state Navier-Stokes equations for an incompressible fluid and a no-slip condition prescribed on the boundary of an arbitrary shaped obstacle. The two and three dimensional cases are treated for several examples of cost functional and a numerical application is presented. },
author = {Amstutz, Samuel},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Shape optimization; topological asymptotic; Navier-Stokes equations.; asymptotic expansion of a shape functional; shape optimization; Navier-Stokes equations; no-slip condition},
language = {eng},
month = {3},
number = {3},
pages = {401-425},
publisher = {EDP Sciences},
title = {The topological asymptotic for the Navier-Stokes equations},
url = {http://eudml.org/doc/90770},
volume = {11},
year = {2010},
}

TY - JOUR
AU - Amstutz, Samuel
TI - The topological asymptotic for the Navier-Stokes equations
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 11
IS - 3
SP - 401
EP - 425
AB - The aim of the topological asymptotic analysis is to provide an asymptotic expansion of a shape functional with respect to the size of a small inclusion inserted inside the domain. The main field of application is shape optimization. This paper addresses the case of the steady-state Navier-Stokes equations for an incompressible fluid and a no-slip condition prescribed on the boundary of an arbitrary shaped obstacle. The two and three dimensional cases are treated for several examples of cost functional and a numerical application is presented.
LA - eng
KW - Shape optimization; topological asymptotic; Navier-Stokes equations.; asymptotic expansion of a shape functional; shape optimization; Navier-Stokes equations; no-slip condition
UR - http://eudml.org/doc/90770
ER -

References

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