David, 

If you are using the filter called Calculator, there is no gradient nor 
transpose functions in it. The only functions you can use are the ones you can 
click on the little buttons in the GUI (you can type them instead of clicking, 
but those are the only ones available). So you must use the ComputeDerivative 
filter before the Calculator because you won't get the gradient any other way. 

Additionally, keep in mind that velocity is a vector and so the vector gradient 
of velocity will be a tensor output. It will have variable names like 
VectorGradient_0 through VectorGradient_8 when used inside the calculator. Only 
the scalar components are available, it doesn't work like a matrix in the 
Calculator filter. 

If you want to compute the strain (what I think your S is), you should use the 
ComputeDerivatives filter and set the "Vectors" to your velocity vector, set 
the "Output Tensor Type" to "Strain" and since you are after lambda_2, you 
should set the "Output Vector Type" to "Vorticity". 

Once this is done, you will have cell-data fields for strain and for vorticity. 
You probably want to do a CellDataToPointData filter to get this back to 
node-centered data (which is required if you want iso-surfaces). Once that is 
done, in your Calculator filter, you now have access to scalars called Strain_0 
through Strain_8 and Vorticity_X, Vorticity_Y and Vorticity_Z. 

Strain_0 is S_xx, Strain_1 is S_xy, Strain_2 is S_xz, Strain_3 is S_yx... 
through to Strain_8 = S_zz. 

With all of those individual components, your Calculator filter for Lambda_2 
will just be a bunch of products and sums of those terms. 

Tim 

----- Original Message -----

From: "David Larsson" <[email protected]> 
To: "Tim Gallagher" <[email protected]> 
Cc: [email protected] 
Sent: Tuesday, December 8, 2015 6:30:28 AM 
Subject: SV: [Paraview] Velocity field analysis - lambda2 


Hi Tim, 


thanks for your answer. Your method sound straight-forward. The only issue I 
have now is that I'm simply not sure how to control the Calculator of paraview. 
Following your steps, I want to set e.g.: 


'Result Array Name': S_squared 


and then compute using the calculator something like 


(gradient(velocity) + transpose(gradient(velocity)))^2/2 


but this gives me a calculator error ('Syntax Error: expecting a variable 
name'). So I assume I'm simply using the calculator the wrong way (giving input 
in an incorrect manor). 


Could you specify how you give input to the calculator following your outlined 
steps? Also, do you know the difference between the 'ComputeDerivative' and 
'Gradient' is? 


Thanks again for the help, 


/David 









Från: Tim Gallagher <[email protected]> 
Skickat: den 7 december 2015 23:16 
Till: tim gallagher 
Kopia: [email protected]; David Larsson 
Ämne: Re: [Paraview] Velocity field analysis - lambda2 


For the sake of people years later who come across this thread, there is a typo 
in my definition and it should be: 

lambda_2 = S_ik S_kj + \Omega_ik \Omega_kj 

Tim 

----- Original Message -----

From: "Tim Gallagher" <[email protected]> 
To: "David Larsson" <[email protected]> 
Cc: [email protected] 
Sent: Monday, December 7, 2015 5:11:30 PM 
Subject: Re: [Paraview] Velocity field analysis - lambda2 


David, 

I haven't taken on lambda-2 yet, but I have been able to build a pipeline for 
Q-Criterion. It looks something like: 

Data -> CellDataToPointData (if it isn't already point data) -> 
ComputeDerivatives (set the gradient option to vorticity and the tensor option 
to strain) -> CellDataToPointData -> Calculator (compute |S|^2) -> Calculator 
(compute |\Omega|^2) -> Calculator (compute Q-criterion) 

Since lambda_2 = S_ik S_ij + \Omega_ik \Omega_kj, you can use the same 
procedure and use just the standard calculators if you want to expand the 
Einstein summation and plug them all. 

Once I've done this, I save the set of 3 calculators as a custom filter. When I 
use pvpython, I load my custom filter in the server manager and then use the 
CD2PD and ComputeDerivatives filters as needed. The python calculator might be 
a better way to do it, but I haven't tried that yet. 

Tim 

----- Original Message -----

From: "David Larsson" <[email protected]> 
To: [email protected] 
Sent: Monday, December 7, 2015 4:11:39 PM 
Subject: [Paraview] Velocity field analysis - lambda2 


Dear all, 


I'm working with velocity vector fields over multiple time steps. I would like 
to compute a number of entities for the velocity field - most importantly the 
lambda2-scalar, but being relatively new to paraview I'm not really sure how to 
do that. 


I can do some simple modifications using the calculator but can't really find 
my way to grad() or curl() etc. I guess the solution is going over to pvpython 
(which would also be preferred with regards to doing automated analysis). 


Does anyone have any experience with performing numerical analysis of vector 
velocity fields in pvpython that could give some hints on how to get started? 
Or does anyone even have performed lambda2-analysis on such? 


I've seen some similar questions in the mail-list from before but can't seem to 
find a conclusive answer, so I thought I'd give it a try myself. 


Thanks for the help. 


/David 







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