A lubrication-based method for reconstructing the dynamic parameters of particle–wall collisions in liquids

Precise measurement or simulation of particle collisions in liquids typically requires prohibitively high spatiotemporal resolution. This study employs lubrication theory to develop a reconstruction technique for the collision parameters and process of spherical particles in liquids with known properties. Time series of collision behaviors under varying parameters are first obtained through direct numerical simulation level adaptive refinement fully resolved numerical simulations. The sequence to be enhanced is then derived through subsampling and noise addition. A simplified relationship is developed using lubrication theory to evaluate key parameters with constrained uncertainties, enabling the recovery of high-resolution temporal processes and the extraction of critical parameters such as the equivalent recovery coefficient and collision time. The approach is successfully applied to enhance experimental data of spherical inertial measurement unit particle collisions, significantly improving the accuracy of collision event measurements. This method shows promise for enhancing low-resolution experimental or numerical simulation data in similar collision problems.