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Optimization using Arbitrary Lagrangian-Eulerian formulation of the Navier-Stokes equations

Eysteinn Helgason (Institutionen för tillämpad mekanik, Strömningslära) ; Sinisa Krajnovic (Institutionen för tillämpad mekanik, Strömningslära)
Journal of Fluids Engineering - Trancactions of The ASME (0098-2202). Vol. 137 (2015), 6, p. Art. no. 061202.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Adjoint method, sensitivity analysis, Arbitrary Lagrangian-Eulerian method, Navier-Stokes, op-timization, total pressure drop, ducted flow, finite volume method



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Denna post skapades 2015-01-20. Senast ändrad 2015-06-16.
CPL Pubid: 211176

 

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Institutioner (Chalmers)

Institutionen för tillämpad mekanik, Strömningslära

Ämnesområden

Energi
Transport
Strömningsmekanik

Chalmers infrastruktur