Code development and validation for analyzing liquid metal MHD flow in rectangular ducts

A code named MTC-H 1.0 which can simulate 3D magnetohydrodynamics (MHD) flow in rectangular ducts has been developed by FDS Team. In this code, a conservative scheme of the current density was employed for calculation of the induced current and the Lorentz force, and the consistent projection method was employed for solving the incompressible Navier–Stokes equations with the Lorentz force included as a source term. The code was developed on a structured collocated grid, on which velocity, pressure, and electrical potential were located in the cell center, while current fluxes were located on the cell faces. de MTC-H 1.0 was test by simulating MHD rectangular ducts flows, and the Shercliffʹs insulated walls and Huntʹs conductive walls were used as benchmark models. The validation cases were conducted with Hartmann number from 102 to 104 on structured collocated grids. The results matched well with Huntʹs and Shercliffʹs analytical solutions and it showed good accuracy of the code.