“…Such models allow for rapid screening of candidate designs-for example, different driving fields, particle shapes, and magnetic properties-to identify and understand the conditions that produce desired functions. Existing models of magneto-capillary particle motion on curved interfaces are based on lattice Boltzmann simulations of the Navier-Stokes equations 14,17 or numerical integration of approximate dynamical equations. 15,16 The former allows for direct simulation of multiple particles of different shapes and/or surface chemistries but requires significant computational resources, which can slow the design process.…”