An analogy is established between standing surface wave oscillations and a mechanical oscillator, yielding a novel Mathieu-like equation for super-harmonic stability that matches numerical solutions in most cases.
Popinet, collaborators, Basilisk C: volume of fluid method,http://basilisk.fr(Last accessed: August 23, 2023), 2013–2024
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Free oscillations of a standing surface wave and its mechanical analogue
An analogy is established between standing surface wave oscillations and a mechanical oscillator, yielding a novel Mathieu-like equation for super-harmonic stability that matches numerical solutions in most cases.