1. Derivation of the full continuous adjoint method based on the k–? SST turbulence model for turbomachinery shape optimization
- Author
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Lavimi, Roham, Benchikh Lehocine, Allaeddine, Poncet, Sébastien, Marcos, Bernard, Panneton, Raymond, Lavimi, Roham, Benchikh Lehocine, Allaeddine, Poncet, Sébastien, Marcos, Bernard, and Panneton, Raymond
- Abstract
This is an attempt to develop a full continuous adjoint formulation to optimize an industrial turbomachine based on an adjoint solver (adjointOptimisationFoam) in OpenFoam v2206. The adjoint equations are derived using incompressible Navier-Stokes equations and the k-? SST turbulence model. The adjoint equations are first derived from the primary flow equations while the Coriolis force is added to the momentum equation. Then, the desired boundary conditions for the primary flow equations are employed to develop the adjoint boundary conditions while taking Mechanical Power (MP) into account as an objective function. To demonstrate the solver’s capability for shape optimization, a sphere is optimized in terms of drag reduction. According to the results, the optimized sphere indicates a 14% reduction in drag force over the baseline., Communication présentée lors du congrès international tenu conjointement par Canadian Society for Mechanical Engineering (CSME) et Computational Fluid Dynamics Society of Canada (CFD Canada), à l’Université de Sherbrooke (Québec), du 28 au 31 mai 2023.
- Published
- 2023