Spectral Stochastic Simulation of a Ferromagnetic Cylinder Rotating at High Speed

This paper addresses what the influence of uncertainty on ferromagnetic material properties is on the torque yielded by ferromagnetic cylinders rotating at high speeds. To that end, two state-of-the-art high-order stochastic solution approaches, the stochastic collocation and the stochastic Galerkin method, are applied to a nonlinear convection-diffusion problem with random coefficients and their performance is compared.