TY - CHAP
T1 - A continuous adjoint approach to shape optimization for navier stokes flow
AU - Brandenburg, Christian
AU - Lindemann, Florian
AU - Ulbrich, Michael
AU - Ulbrich, Stefan
N1 - Publisher Copyright:
© 2009, Birkhäuser Verlag Basel/Switzerland.
PY - 2009
Y1 - 2009
N2 - In this paper we present an approach to shape optimization which is based on continuous adjoint computations. If the exact discrete adjoint equation is used, the resulting formula yields the exact discrete reduced gradient. We first introduce the adjoint-based shape derivative computation in a Banach space setting. This method is then applied to the instationary Navier-Stokes equations. Finally, we give some numerical results.
AB - In this paper we present an approach to shape optimization which is based on continuous adjoint computations. If the exact discrete adjoint equation is used, the resulting formula yields the exact discrete reduced gradient. We first introduce the adjoint-based shape derivative computation in a Banach space setting. This method is then applied to the instationary Navier-Stokes equations. Finally, we give some numerical results.
KW - Navier-Stokes equations
KW - Pde-constrained optimization
KW - Shape optimization
UR - http://www.scopus.com/inward/record.url?scp=84955656205&partnerID=8YFLogxK
U2 - 10.1007/978-3-7643-8923-9_2
DO - 10.1007/978-3-7643-8923-9_2
M3 - Chapter
AN - SCOPUS:84955656205
T3 - International Series of Numerical Mathematics
SP - 35
EP - 56
BT - International Series of Numerical Mathematics
PB - Springer
ER -