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. The code MTC-H 1.0 was test by simulating MHD rectangular ducts flows, and the Shercliff's insulated walls and Hunt's conductive walls were used as benchmark models. The validation cases were conducted with Hartmann number from 10 2 to 10 4 on structured collocated grids. The results matched well with Hunt's and Shercliff's analytical solutions and it showed good accuracy of the code.