Depletion using analytical solution

Development
1

Hi everyone,

While using openmc a lot for various purposes, I wondered if they were a solver using analytical solution for depletion in openmc. I think the answer is no, right ?

I mean an algorithm that solves the problem X’ = AX, with X, the isotope quanties vector and A, the mass transfer matrix (with flux, cross sections, decay constants etc…)

The main advantage of this solution is to replace Independant operators, when there is no flux variations and no external mass transfer (we can still use the analytical solution if the mass transfer is constant over time by solving X’ = AX + B) no need to use a complicated and possibly unstable solver to track nuclides quantity evolution.

Do you think it is an interesting capability to be developed ?

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Jin has made a proof of concept PR which you might be interested in as it sounds similar microxs from mg flux and chain file by jbae11 · Pull Request #2755 · openmc-dev/openmc · GitHub

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Well, I would get more focused on the resolution of bateman equations. If you have constant mass transfer, flux, microxs and decay constants, you can always solve your problem analytically.

I developed my own code that does that, as a layer 2 for openmc (it takes the same chain.xml file and MicroXS.csv format as openmc).

For my purpose, it works well enough but maybe some other people are interested in that.

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I’m interested in that, any chance we can have a lightning talk at the next openmc monthly meet up?

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Why not, I need authorizations from my managers, then I am coming back to you asap.