Neural networks approximate the history-dependent Basset force, allowing the Maxey-Riley-Gatignol equations to be solved as ordinary differential equations.
On the role of the history force for inertial particles in turbulence.Journal of Fluid Mechanics, 782:567–593, 2015
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Approximation of the Basset force in the Maxey-Riley-Gatignol equations via universal differential equations
Neural networks approximate the history-dependent Basset force, allowing the Maxey-Riley-Gatignol equations to be solved as ordinary differential equations.