Product integration method for the simulation of radial effects in fiber melt spinning of semi-crystalline polymers

In this work we consider the simulation of a mixed-dimensional model for viscous fiber melt spinning of semi-crystalline polymers including radial effects on the temperature and crystallinity. We present a suitable algorithm based on the product integration method and an analytical solution of the temperature advection-diffusion equation. A numerical convergence and performance analysis confirms that our approach results in an accurate and efficient algorithm.