Front tracking for gas dynamics
Journal of Computational Physics
Multidimensional upwind methods for hyperbolic conservation laws
Journal of Computational Physics
Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
Three-Dimensional Front Tracking
SIAM Journal on Scientific Computing
A Cartesian grid embedded boundary method for Poisson's equation on irregular domains
Journal of Computational Physics
A multigrid tutorial: second edition
A multigrid tutorial: second edition
Robust Computational Algorithms for Dynamic Interface Tracking in Three Dimensions
SIAM Journal on Scientific Computing
Interface Tracking for Axisymmetric Flows
SIAM Journal on Scientific Computing
Richtmyer-Meshkov instability in liquid metal flows: influence of cavitation and magnetic fields
Mathematics and Computers in Simulation - Special issue: Wave phenomena in physics and engineering: New models, algorithms, and appications
Journal of Computational Physics
Hi-index | 31.45 |
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.