There seem to be a lot of low hanging fruits to characterize the phenomenon, so I would not try to simulate the process yet. Dependence of the amount of produced gases on the concentration and type of salt, the temperature, radio frequency, input power seem very easy to check if the necessary equipment is available. Pick a few parameters and hand the task over to a bachelor/master student or maybe research assistant and see what results come out.
"Effects of different parameters on the efficiency of electrode-less water splitting", sounds like an acceptable topic for a bachelor thesis for example ;)
I agree, there are many interesting variables (temperature, concentration, frequency, shape of the container, localization of the beam, ...), and impurities/catalyzers open another huge amount of tweaking opportunities.
It's just that most papers pretend that the result has some practical or theoretical application, and I think it's difficult to get one.
"Effects of different parameters on the efficiency of electrode-less water splitting", sounds like an acceptable topic for a bachelor thesis for example ;)