The continuous adjoint approach to the k-ε turbulence model for shape optimization and optimal active control of turbulent flows

作者: E.M. Papoutsis-Kiachagias , A.S. Zymaris , I.S. Kavvadias , D.I. Papadimitriou , K.C. Giannakoglou

DOI: 10.1080/0305215X.2014.892595

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摘要: The continuous adjoint to the incompressible Reynolds-averaged Navier–Stokes equations coupled with low Reynolds number Launder–Sharma k–e turbulence model is presented. Both shape and active flow control optimization problems in fluid mechanics are considered, aiming at minimum viscous losses. In contrast frequently used assumption of frozen turbulence, together appropriate boundary conditions derived, discretized solved. This first time that have been derived. Compared formulation neglects variations, impact additional terms evaluated. Sensitivities computed using direct differentiation and/or finite differences for comparative purposes. To demonstrate need formulating solving equations, instead merely relying upon ‘frozen assumption’, gain opt...

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