The purpose of the present paper is to extend the use of a novel meshless Local Radial Basis Function Collocation Method (LRBFCM) for solving the two-dimensional, steady, laminar flow over a backward facing step under the influence of the Lorentz force. The incompressible Navier–Stokes equations are under the influence of predetermined static magnetic field numerically solved on a non-uniform node arrangement. In the numerical procedure, local collocation and Multiquadric Radial Basis Functions (MQRBF) are used on five-nodded subdomains. The coupling between the pressure and the velocity is made by using Fractional Step Method (FSM). The considered problem is calculated for Reynolds numbers (Re) ranging from 300 to 800, Hartman numbers (Ha) ranging from 0 to 100, and for low magnetic Reynolds number (Rem). The numerical results demonstrate excellent agreement with previously published data, obtained with the classical numerical methods, such as Finite Volume Method (FVM) and Finite Element Method (FEM). Simplicity of the numerical implementation, accuracy and the absence of the polygonalisation are the main advantages of the LRBFCM. Comment: The theoretical investigation is devoted to verification of our numerical models for use in industrial simulation systems.
COBISS.SI-ID: 3349243
The paper describes state-of-the-art of our investigations in the field of multiphysics and multiscale simulations of low frequency electromagnetic direct chill casting. Comment: We have pioneered the development of a complex numerical model of stress, temperature, velocity, concetration and microstructire field in round aluminium billets as a function of classsical and low-frequency electromagnetic process parameters.
COBISS.SI-ID: 3311355
Model of microstructure formation based on point automata method has been supplemented from single to multicomponent systems and to influence of melt convection. Comment: paper represents basis on which the simulations of steel and aluminium alloy microstructures are performed.
COBISS.SI-ID: 3381499