Machinery Diagnostics in Beersheba

I have enjoyed my time in Beersheba. It is on the edge of the Negev desert. Koby Bortman and his students have been great to work with. I have had a nice little place to stay in, which has been good for keeping up with what is going on in Canada nine time zones away.  Writing papers is efficient when there are authors on two different shifts.

The machinery diagnostics lab here has a good approach to research in this area. Relationships between models and experimental results are based on simulations calibrated to the lab apparatus. This gives a good opportunity to assess the model quality against real data. Of course, the simulations don’t always work as hoped. I have spent a lot of time with students staring at graphs trying to figure out what the problem is. To troubleshoot a simulation, we can take several  steps:

1) check the solver

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change time step and look at the sensitivity of the solution between different cases
change solver type (slower-order solver will be more robust but less accurate)
2) simplify the mathematical model
change the model to linearize it, or to remove some terms, so that the model is simpler (and hopefully the simulation results can be compared to a benchmark case or to an analytical solution). Another option is to change parameters of the model to make the set of equations less stiff (that is, less sensitive to small changes)
3) change the mathematical model
if some part of the model is causing the problem, then we may need to change the formulation, for example, making the nonlinear functions continuous.
In all cases, having a data set for verification is critical.
This is fun.

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