TY - GEN

T1 - Partitioned solution of the unsteady adjoint equations for a strongly coupled fluid-structure interaction problem

AU - Degroote, Joris

AU - Hojjat, Majid

AU - Stavropoulou, Electra

AU - Wüchner, Roland

AU - Bletzinger, Kai Uwe

PY - 2012

Y1 - 2012

N2 - Unsteady fluid-structure interaction (FSI) simulations are often time-consuming. As a result, the number of simulations has to be limited in optimisation studies and therefore gradient-based optimisation methods are generally preferred. When the number of optimisation parameters is high, the adjoint equations of the unsteady FSI problem need to be solved to obtain the required gradient at a cost (almost) independent of the number of parameters. In this work, a framework is presented to solve both the forward and the adjoint problem in a partitioned way, which means that the flow equations and the structural equations are solved separately. As an illustration, a one-dimensional example is solved, namely the flow of an incompressible fluid in a straight elastic tube. Due to the strong interaction between the fluid and the structure, quasi-Newton coupling iterations are applied to stabilise the partitioned solution of both the forward and the adjoint problem.

AB - Unsteady fluid-structure interaction (FSI) simulations are often time-consuming. As a result, the number of simulations has to be limited in optimisation studies and therefore gradient-based optimisation methods are generally preferred. When the number of optimisation parameters is high, the adjoint equations of the unsteady FSI problem need to be solved to obtain the required gradient at a cost (almost) independent of the number of parameters. In this work, a framework is presented to solve both the forward and the adjoint problem in a partitioned way, which means that the flow equations and the structural equations are solved separately. As an illustration, a one-dimensional example is solved, namely the flow of an incompressible fluid in a straight elastic tube. Due to the strong interaction between the fluid and the structure, quasi-Newton coupling iterations are applied to stabilise the partitioned solution of both the forward and the adjoint problem.

KW - Adjoint

KW - Fluid-structure interaction

KW - Gradient

KW - Partitioned

KW - Quasi-Newton

UR - http://www.scopus.com/inward/record.url?scp=84871638932&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84871638932

SN - 9783950353709

T3 - ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers

SP - 1858

EP - 1875

BT - ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers

T2 - 6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012

Y2 - 10 September 2012 through 14 September 2012

ER -