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Adjoint Shape Optimization using OpenFOAM

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Adjoint Shape Optimization using OpenFOAM

  1. 1. 1 Adjoint Shape Optimization Example #1 using OpenFOAM - Target Velocity Profile at Outlet - Fumiya Nozaki Last Updated: 11 August 2014 English Keywords: • Continuous Adjoint • Shape Optimization • OpenFOAM
  2. 2. 2 Optimization objective Inlet Outlet Fixed velocity: Parabolic profile Fixed pressure Target velocity profile @ outlet: Parabolic profile Change shape to obtain the target velocity profile @ outlet • Laminar flow • Air @ 20℃
  3. 3. 3 Objective function 𝐼 = 𝑐 2 𝒖 − 𝒖 𝑡𝑎𝑟𝑔𝑒𝑡 2 𝑑𝛤 𝑜𝑢𝑡𝑙𝑒𝑡 Difference between the calculated velocity and target velocity profile Calculated by simpleFoam Target velocity profile Repeat shape modifications to get smaller value of 𝐼 Adjoint method gives this information
  4. 4. 4 Sensitivity map Positive sensitivity area ⇒ Inward surface displacement improves the objective Sensitivity distribution Negative sensitivity area ⇒ Outward surface displacement improves the objective
  5. 5. 5 Shape comparison between baseline and modified geometry baseline modified Shape modifications 20 times
  6. 6. 6 Outlet velocity distribution baseline modified Improved by 64%
  7. 7. 7 Thank You!

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