An extension and analysis of the behaviour of a novel Local Radial Basis Function Collocation Method (LRBFCM) meshless method in solution of a steady, laminar, and turbulent solidifying flows, influenced by the static magnetic field has been performed. The problem is defined by coupled mass, momentum, energy, species, turbulent kinetic energy, and dissipation rate equations. Solidification is modelled by Darcy porous media assumption and lever rule. It is solved in two dimensions by local collocation with multiquadric radial basis functions on five nodded overlapping sub-domains, Lever microsegregation rule, explicit time-stepping, and fractional step pressure correction. The accuracy of the method has been tested on several well known benchmark tests, such as the lid-driven cavity, natural convection in a square cavity under the influence of externally applied magnetic field, Hartmann flow and backward facing step with magnetic field. The results have been verified against analytical solutions, previously published results, and by comparison with results of commercial software. The numerical model for continuous casting of steel (temperature, velocity, concentration) is upgraded for the application of electromagnetic breaking. The parametric study is performed for both the simplified and the realistic magnetic fields along with a sensitivity analysis of magnetic field strength, position, and range. The tests show, that the upgraded numerical model is applicable on a wide range of fluid flow problems, including solidification, species transfer and magnetic field, as well as that the LRBFCM is able to successfully, accurately, and reliably solve the magnetohydrodynamic equations.
D.09 Tutoring for postgraduate students
COBISS.SI-ID: 3623419Prof. Šarler was because of resounding publications of project group in the field of simulation and optimisation in aluminium and steel technology invited to co-edit a special issue of international journal Advances in Materials Science and Engineeering, Special issue on Simulation and Optimization in Materials Technology.
C.03 Guest-associated editor
Extension of the collocation method with radial basis functions from the fluid dynamics field to linear thermoelasticity is described in the paper. A thoretical convergence study of the method is devised. Comment: contribution represents basis for further development of more sophisticated thermomechanical models of continuous casting of steel and aluminium alloys. An extended version of the contribution was selected for publication in International Journal of Numerical Methods in Heat and Fluid Flow.
F.23 Development of new system-wide, normative and programme solutions, and methods
COBISS.SI-ID: 3380731