A Collaborative National Center for Fusion & Plasma Research

New Way of Analysis of the Magneto Hydrodynamic Flow Using Computational Fluid Dynamics Procedures

Analysis of many fusion applications such as liquid metal blankets requires application of Computational Fluid Dynamics (CFD) methods for electrically conductive liquids in the geometrically complex regions and in the presence of a strong magnetic field.  Current state of the art general purpose CFD code allows modeling of the flow in complex geometric regions, with simultaneous conjugated heat transfer analysis in liquid and surrounding solid parts.  Together with Magneto Hydro Dynamics (MHD) capability general purpose CFD code will be a valuable tool for design and optimization of fusion devices.  Present invention allows an introduction of MHD captability into a general purpose CFD code for MHD adaptation of the code three additional transport equations were introduced for the components of the magnetic field, with additional Poisson equation for electric potential.  Lorentz force is included in the momentum transport equation as a source term.  For applications involving very strong magnetic fields system of MHD equations became very rigid with very large source terms, and very strong gradients of the variables.  To increase system robustness, special measures are introduced during iterative convergence process, such as under-relaxation using source coefficients for momentum and magnetic field equations. MHD implementation in general purpose CFD code was tested against benchmarks specifically selected for liquid metal blanket applications.  Results of numerical simulations using present implementation closely match analytical solution.


U.S. Department of Energy
Princeton Plasma Physics Laboratory is a U.S. Department of Energy national laboratory managed by Princeton University.

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