Optimization using Arbitrary Lagrangian-Eulerian formulation of the Navier-Stokes equations
Artikel i vetenskaplig tidskrift, 2015

In this paper we present a new shape optimization method by using sensitivities obtained from the Arbitrary Lagrangian-Eulerian (ALE) form of the Navier-Stokes equations. In the ALE description the nodes of the computational domain may be moved with the fluid as in the Lagrangian description, held fixed in space as in the Eulerian description or moved in some arbitrary way in between. Applying the adjoint method with respect to mesh motion allows the whole sensitivity field for the shape changes to be calculated using only two solver calls, a primal solver call and an adjoint solver call. We show that the sensitivities with respect to the mesh motion can be calculated in a post processing step to the primal and adjoint flow simulations. The resulting ALE sensitivities are compared to sensitivities obtained using a finite difference approach. Finally, the sensitivities are coupled to a mesh motion smoothing algorithm, and a duct is optimized with respect to the total pressure drop using the proposed method.

sensitivity analysis

finite volume method

Arbitrary Lagrangian-Eulerian method

op-timization

ducted flow

total pressure drop

Navier-Stokes

Adjoint method

Författare

EYSTEINN HELGASON

Chalmers, Tillämpad mekanik, Strömningslära

Sinisa Krajnovic

Chalmers, Tillämpad mekanik, Strömningslära

Journal of Fluids Engineering, Transactions of the ASME

0098-2202 (ISSN)

Vol. 137 6 Art. no. 061202- 061202

Styrkeområden

Transport

Energi

Ämneskategorier

Strömningsmekanik och akustik

DOI

10.1115/1.4029724