The RIEMANN Framework and Higher Order Godunov Schemes for Parallel, Self-Adaptive Computational Astrophysics

Statistics – Computation

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Scientific paper

The field of computational astrophysics (CA) has seen many recent advances. The emergence of higher order Godunov schemes for many of the systems of interest in CA represents a development of great importance in this field. Such schemes offer high order accuracy and low dissipation. The fact that such schemes derive their underpinnings from physical features in the hyperbolic equations results in their having greater physical fidelity and reliability compared to older formulations. These methods have been shown to be extensible to non-relativistic MHD, relativistic hydrodynamics, relativistic MHD, radiation hydrodynamics and radiation MHD. A further advantage is that such schemes also take well to parallel, self-adaptive strategies for their solution. Many of these methods have been developed by this author and his co-workers in an effort to raise the quality of CA simulations and we describe that work here. The methods have been implemented in the RIEMANN framework for highly parallel, self-adaptive CA.

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