Electrostatic magnetic fields are used in continuous casting of steel to brake and control the mean flow of liquid metal in the mould. The magnetic field also causes magnetic Joule dissipation of turbulence, thus affecting turbulent transport of heat and mass. Numerical simulations of this and other turbulent magnetohydrodynamic (MHD) flows suffer from the inability of conventional turbulence models to deal with the large anisotropies of length scales in MHD turbulence. The objective of the project is to develop an extended Reynolds-stress closure suitable for modelling of MHD turbulence in engineering applications. The extended closure includes structural information, which is shown to be vital for a correct description of MHD turbulence.