I have created transmission models for my company which run in matlab. I know how those models work and they are extremely PRECISE and do exactly what they are programmed to do BY ME. Having a transmission model saves us from dragging an actual transmission into the lab to test the transmission control software. It is actually very useful and perhaps almost essential.
In our case, it is extremely easy to see how good the model is, we can find out in a matter of days or weeks by tests on the actual transmission. That is the entire weakness of AGW models. To find out good the models are will take centuries, they are predicting climate not weather. But that is NOT how it is portrayed to the general public. It is ASSUMED that the models are settled and proven fact and then everything negative that happens in the world is interpreted to occur because of it. Surely you can see this. A new story crops up every week. We have to be told about how bad it is because if we weren't told, nobody would notice.... I certainly haven't....
Wait, transmissions? Like gears? Pure mechanics, nothing chaotic there. Very, very, very easy to model precisely.
We are talking about different types of modeling. Your model represents a physical object that can be completely represented by fundamental physics using mechanics and possibly some material properties if you simulate stresses. Climate modeling is a much more diverse problem pulling from many more fields of study, some of which use
empirical equations whose parameters are not known constants or fundamental properties, they must be solved for or adjusted.
Yours is textbook physics, the other is highly data-based.
However, you do make a good point about confirming results, but you miss an important difference. The models are historically calibrated. We have hard data from the past that calibrate the model. You can't predict exact temperatures, but you can certainly predict a general gradient or trend. Nearly all models show increases, not decreases.
Since you work in engineering, certainly you have taken a chemistry class before. At the very basic level, do you believe in green house gases? Or gases that cause the earth to retain more heat? In very easy terms, do you believe that if we put more of those into the atmosphere that the Earth will warm over time?