Computation of topological sensitivities in fluid dynamics: Cost function versatility

Computation of topological sensitivities in fluid dynamics: Cost function versatility

Othmer, C.
Kaminski, T.
Giering, R.

2006-09-06

Topology optimization of fluid dynamical systems is still in its infancy, with its first academic realizations dating back to as late as three years ago. In this paper, we present two approaches to fluid dynamic topology optimization that are based on potential flows and adjoint states, respectively. Special emphasis is paid to the computation of topological sensitivities with discrete adjoints and its versatility with respect to changes of the cost function: After providing the proof of concept of a discrete adjoint-based methodology for the optimization of dissipated power, we compute sensitivities with respect to equal mass flow through different outlets, flow uniformity and also angular momentum of the flow in the outlet plane.

CFD
topology optimization
adjoint methods
automatic differentiation

http://resolver.tudelft.nl/uuid:01207185-bd81-4868-973b-139921dee869

Conference proceedings

conference paper

(c) 2006 Othmer, C.; Kaminski, T.; Giering, R.