Functions to describe object falling in the water

AI Thread Summary
The discussion focuses on simulating the impact of objects, like pebbles, falling into water for a game. The user is experimenting with decaying sinus functions but is struggling to achieve realistic results within a time constraint. There is a request for existing equations or resources that accurately describe the physics of such interactions. Participants question the effectiveness of the decaying sine function for this purpose. Overall, the conversation highlights the need for reliable mathematical models for simulating water dynamics in gaming.
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I'm doing a game where I have to simulate the effect on water when some object falls onto it, like a peeble on a pond. I've been playing around with decaying sinus functions, but I'm running out of time, and I haven't found the set of equations to describe it realistically. Since it's such a common subject, I know it must be done already, so I would like to know where can I find it.
 
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Peeble on a pond? Decaying sinus functions?!

I'm curious, what is wrong with the "decaying" SINE function?
 

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