Topology optimization of thermal coupled flow

niyazi · May 31, 2018, 05:34

Hi everyone,
I'm working on topology optimization of thermal coupled flow. Problem domain is attached. I derived adjoint equations and implemented them on OpenFoam by modifying adjointShapeOptimizationFoam.
Solution of adjoint variables (velocity and temperature) and primal temperature are reaching to enourmous numbers dramatically in earlier iterations, thus solution crashed.
I can share source code if anyone interested.

Flow and heat transfer equations :

$\nabla v = 0$

$\mu\nabla^{2}v + \alpha \rho v = \nabla p$

$\rho C_p v \nabla T + Q = k \nabla^{2} T$

where

is uniform heat source.

Adjoint equations:

$\nabla u = \partial J / \partial p$

$\rho C_{p} T_a$ $\nabla T + \partial J / \partial u$ = - $\nabla q+\mu \nabla^{2} u + \alpha \rho u$

$\rho C_{p} v$ $\nabla$ $T_{a} + k$ $\nabla^{2} T_{a}$ = $\partial$ $J / \partial T$

where

,

and

are adjoint velocity, pressure and temperature variables, respectively.

Is there anyone who has an idea about problem?

Cambridge · June 30, 2019, 16:14

Hi do you find the solution? Could you please tell me? Thank you.

Cambridge · February 12, 2020, 13:11

Hi
Are you still there? I really hope you could reply to me ASAP.

Thank you

June 30, 2019, 16:14	Solution	#2
Cambridge New Member Join Date: Jun 2019 Posts: 20 Rep Power: 7	Hi do you find the solution? Could you please tell me? Thank you.

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February 12, 2020, 13:11		#3
Cambridge New Member Join Date: Jun 2019 Posts: 20 Rep Power: 7	Hi Are you still there? I really hope you could reply to me ASAP. Thank you