Bsteel:
By AFT impulse I believe you are refering to
With the 11 m hight difference, can I assume your piping class to be EN PN16 (16 bar) or somthing equal in PSI?
Back to the original question: Your problem seems to be both practical and theoretical.
Your practical problem is that you have a long, large pipeline filled with fluid with gas (air) on the top point(s?), which (as expected) will give flow problems and waterhammer problems when you start the flow.
Your theoretical problem is that you can not get the application of software (composed of emphirical data and theoretical data supposed to be able to give correct overview of dynamic situations?) to suit your case.
Advice:
1. Forget for the moment the theoretical part.
2. As others already have pointed out: You must in some way control the flow of fluid in the pipeline, especially by the outlet point if you let it out downhill to a lower (atmospheric?) pressure in a (open?) tank. The tank inlet is drawn without a valve. In my opinion the best solution would be to have a control valve here.
Only special valves can do this without cavitating. In some cases (for some valves) this will require special solutions with additional air indraft for the valve, especially if there is no liquid after the valve. You will also have to protect the pipeline for underpresure with a suitable size vaccuum breakers at highpoints, combined with air outlet valves. For this length of pipeline you will need this equipment at several points, disregarding solutions else.
3. Your system seems to be an open-end, unpressurized system, partly filled with fluid, with gas at highpoints. Each time you start your system, you have the same problem as filling a long municipal water main, which must be filled with care, giving time letting the air escape from all highpoints.
4. A preliminary suggestion (if feasible) is to go for the solution pointed out in #2: let the whole pipeline stand pressurized (filled with liquid) with suitable air inlet and outlet valves, between flushings, with a control valve at tank inlet.
5. If it is not possible to have the line permanently pressurized between use, then there is necessary with a careful, very slow start of inlet to let air escape (eg. controlled outlet) and large enough air inlets for larger flow after filling, to avoid vacuum and waterhammer for the downhill pipeline. It might also be (have to be checked against flow data and total end layout) a possible solution with an on/off valve at top-point, and pressurized pipeline before this (with air outlets), combined with a controlled fluid inlet amount, and a large air inlet for the P1down to tank, and only an on/off valve at the tank.
6. As others have pointed out (again): to give further advice will require a full set of details and a considerable amount of consulting engineering work.(Choice of control valves at outlet is interesting. Needle valves (German: ringstempelventile, and probably in lesser dimension than the pipe) double-excentric ball valves or cone valves could possibly be considered etc. etc.)
7. Very rough calculations of air inlet and outlet is very simple, as stated before. Just compare inlet/outlet of water (cubic), to same amount of cubic air at an assumed normal gas speed, forgetting all fancy calculations taking gas weight and comprimation into consideration.