Is there a specific name for this type of weather system?

[L Dobson]

Is this a standard low pressure system or is there a specific name for it.

Its not common to see these systems in my country (Australia) but on September 28th 2016 one of these systems battered South Australia and produced a line of violent supercells along a vigorous cold front that produced 7 tornadoes one was an F3, three were F2s, one was an F1 and the rest caused no damage.

 

[rdale]

That's a standard low, also called a mid latitude cyclone.

 

[Jeff Duda]

You might be looking for the term "Norwegian cyclone" or "Norwegian cyclone model"

 

[L Dobson]

Yep that's it, thanks for the answer!