On the integration of stochastic rigid body with geometric numerical schemes

TL;DR

This paper evaluates explicit splitting schemes for stochastic rigid body models, comparing their performance with traditional solvers, focusing on stochastic torque and inertia perturbations.

Contribution

It introduces and assesses geometric numerical schemes specifically designed for stochastic rigid body dynamics with random perturbations.

Findings

Splitting schemes show improved stability over traditional solvers.

Geometric schemes better preserve physical invariants in stochastic settings.

Performance varies depending on stochastic perturbation levels.

Abstract

In the present paper we investigate the performance of explicit splitting schemes and related techniques applied to a rigid body model subject to a stochastic torque and random perturbations in the inertia tensor. Results are discussed and compared with traditional solvers for such model.