Hi JB
You mentioned previously about 'hi energy descents'. I had assumed that meant a descent that required a steeper than usual descent angle, a faster velocity or both, but could you clarify please?
Energy generally becomes a problem in close proximity to an airfield. Think back to your high school physics, and there are two components we have to worry about. Kinetic energy is related to speed squared, whilst potential energy is related to your height, and is a linear relationship. The aircraft total energy is the sum of the two.
You can be in a high energy situation by being faster than normal at a given point on the arrival, or by being higher than normal. You only need to be 40% faster than usual to have double the kinetic energy, so fast is always the more difficult to fix. ATC, particularly in the USA, have a very nasty habit of simultaneously wanting higher speeds whilst 'holding you up', by not giving you descent on profile. End result, if you don't baulk, is perhaps ending up higher and faster than normal, with only a few miles to run. This was part of the Aseana situation in SFO...
On all arrivals, the FMC is constantly calculating the distance to run, and you can catch yourself out if you rely totally on that, and don't consider the implications of ATC suddenly shortening the arrival track. Whipping 10 miles out of the arrival, when you only have about 25 to run, will instantly convert a normal energy state to a high energy one. You can probably pick this from the cabin, as the solution is generally to extend the landing gear, for the maximum drag possible.
How does a high energy descent come into play in stepped vs continuous/smooth descents?
When descending, we have a range of options that we can use. More drag can be generated by use of the speed brakes, and that will yield a steeper descent at any given speed. Simply going faster will also give a steeper descent (though we generally don't have a great deal of speed margin). Slower will make the descent shallower, as we'll be closer to the min drag speed of the aircraft. Any descent that is allowed to stick to the plan, even if fast, should be smooth. But, if ATC make us deviate from the plan (i.e. it's a normal day), we'll either have to put more energy into the descent (i.e. by using power), or more drag. Both will have the effect of making the entire process less smooth, and will ultimately have to be countered by the opposite action as well (i.e. more power will start to make us higher than the plan, and will need either more drag or more miles).
There's not much use for 'high energy' descents in normal operations, and many airlines include speed limits at various heights to limit just how much speed you can carry. But, if you are really up against a curfew, and you want that last second, then a planned descent with full speed brakes and at max speed, will give the steepest arrival and the maximum groundspeed. And it will also require the seat belts for the entire descent, with the cabin crew already finished, so it can't just be done off the bat.