A numerical algorithm for MHD of free surface flows at low magnetic Reynolds numbers
- Computational Science Center, Brookhaven National Laboratory, Upton, NY 11973 (United States)
- Department of Applied Mathematics and Statistics, SUNY at Stony Brook, Stony Brook, NY 11794 (United States)
We have developed a numerical algorithm and computational software for the study of magnetohydrodynamics (MHD) of free surface flows at low magnetic Reynolds numbers. The governing system of equations is a coupled hyperbolic-elliptic system in moving and geometrically complex domains. The numerical algorithm employs the method of front tracking and the Riemann problem for material interfaces, second order Godunov-type hyperbolic solvers, and the embedded boundary method for the elliptic problem in complex domains. The numerical algorithm has been implemented as an MHD extension of FronTier, a hydrodynamic code with free interface support. The code is applicable for numerical simulations of free surface flows of conductive liquids or weakly ionized plasmas. The code has been validated through the comparison of numerical simulations of a liquid metal jet in a non-uniform magnetic field with experiments and theory. Simulations of the Muon Collider/Neutrino Factory target have also been discussed.
- OSTI ID:
- 21028277
- Journal Information:
- Journal of Computational Physics, Vol. 226, Issue 2; Other Information: DOI: 10.1016/j.jcp.2007.06.005; PII: S0021-9991(07)00248-3; Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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