SIMULATION OF CONTINUOUS CASTING OF STEEL UNDER THE INFLUENCE OF MAGNETIC FIELD USING THE LOCAL-RADIAL BASIS-FUNCTION COLLOCATION METHOD

摘要

The initial results obtained with the local-radial basis-function collocation method (LRBFCM) for a two-dimensional (2D), simplified model of continuous casting of steel with an externally applied magnetic field are presented. The multiphysics model is composed of turbulent-solidification equations (mass, momentum, energy, turbulent kinetic energy, turbulent dissipation rate) and Maxwell's equations that are numerically solved for the non-uniform node arrangement. The numerical procedure is structured using the explicit time stepping and local collocation with multiquadric radial basis functions (MQ RBF) on the overlapping five-node subdomains. The pressure-velocity coupling follows the fractional-step method (FSM) and the convection is treated with adaptive upwinding. The novel LRBFCM has been already verified in several benchmark test cases, such as the natural convection in a cavity with a magnetic field, the lid-driven cavity, and the flow over the backward-facing step with a transverse magnetic field.