HI Both,

Yep I agree this is a good way to do it. 

Cheers,
Spencer.


On 29 Oct 2021, at 22:07, Abhishek Kumar <abhishek.kir@gmail.com> wrote:

Hi Xiangjun,

According to Giannetti and Luchini JFM 2007, sensitivity is the dyadic product of direct and adjoint modes. I have reproduced Giannetti and Luchini's result for Re = 50 (attached in this email) using Nektar++.  

To do this multiplication, I first rename the variables of direct and adjoints modes obtained from the stability analysis. Then put them into a single file using FieldConvert. Now, rest calculations can be done inside ParaView or Visit. 

With regards
---------------------------------------------------------------------------------------
Abhishek Kumar
Assistant Professor (Research)
Centre for Fluid and Complex Systems
Coventry University, Coventry CV15FB
The United Kingdom
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On Wed, Oct 27, 2021 at 10:17 PM Sherwin, Spencer J <s.sherwin@imperial.ac.uk> wrote:
Dear Xiangjun,

I believe the sensitivity plots are related to the inner product of the adjoint and forward modes. I am afraid I do not recall which inner products gives you which sensitivities. 

Cheers,
Spencer.


On 27 Oct 2021, at 08:31, shan xiangjun <x_j_shan@outlook.com> wrote:

This email from x_j_shan@outlook.com originates from outside Imperial. Do not click on links and attachments unless you recognise the sender. If you trust the sender, add them to your safe senders list to disable email stamping for this address. 
 
Dear all:
 
I want to use the Nektar++ to conduct structural sensitivity analysis on the flow problem. I can get direct and adjoint modes, but I don't know how to get the sensitivity of base flow modification and local feedback (as shown in figure).
 
Can anyone help me?
 
Looking forward to your reply!
 
Best regards,
 
Xiangjun Shan
 
 
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