What are weakly and strongly coupled system

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Weakly coupled systems, like the Joule heating and thermal expansion simulation discussed, involve processes that can be analyzed separately without significant interaction effects. In this case, using one study step for both processes is discouraged, as it does not align with COMSOL's recommendations for accurate results. Instead, breaking the simulation into two steps—first for Joule heating and then for thermal expansion—ensures a more robust analysis. The distinction between weakly and strongly coupled systems lies in the degree of interaction and dependency between the processes involved. Understanding this can clarify why separate study steps are preferred for accurate simulation outcomes.
inspike
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So I am doing a FEA simulation on Joule heating of a busbar and consequently its thermal expansion. So the idea is that if I only use 1 study step, and have the temperature output from the joule heating as an input for thermal expansion, COMSOL calls this as a weakly coupled system, and they don't like it.

Instead, they recommend breaking down the study into 2 steps, the first step to just calculate the joule heating, and the second step just calculate the thermal expansion. The input is still the same.

Personally I feel like nothing mattered, it's just like instead of achieving 1, we choose to do 0.5 + 0.5. I tried both ways, and the answer does not change much from one another. I tried to google the definitions of weakly and strongly coupled systems, and couldn't find any for some reason. So maybe you could explain it to me?

here is the excerpt from the manual I am working from:

"The Joule heating effect is independent of the stresses and strains in the busbar, assuming small deformations and ignoring the effects of electric contact pressure. This means that you can run the simulation using the temperature as input to the structural analysis. In other words, the extended multiphysics problem is weakly coupled. As such, you can solve it in two separate study steps—one for the strongly coupled Joule heating problem and a second one for the structural analysis."
 
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I'm not sure, so don't take my word on it, but I think that it refers to the quantity of information about, and the range of interactions between the components in the system.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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