Minisymposium talk at CSE05

More information on the minisymposium "Adaptive Solution of PDEs Using Moving Mesh Techniques"

Adaptive Finite Volume Solution of MHD Systems

abstract

Systems of conservation laws with (initial) discontinuities need computational tricks (e.g. artificial diffusion) to be solved. The combination of time-dependent meshing, steered by smart monitor functions, and a finite volume technique allows for accurate and efficient solving of hyperbolic PDE systems without artificial terms. A generic MATLAB implementation of this approach was made, parameterizable for all kinds of systems, initial conditions and monitor functions. Its effectivity is shown for some MHD systems (up to '1.75-d')

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