Verification Tests for Numerical 2-D Radiation-Hydrodynamics as Applied toa Core-Collapse Supernova Code

Statistics – Computation

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Scientific paper

The simulation of stellar core collapse, shock propagation, and proto-neutron-star evolution presents one of the great computational challenges in modeling a system of coupled radiation and hydrodynamics. We present here a portion of the verification process for our supernova modeling code--a suite of problems that is designed to test the correctness of our algorithm and its implementation. This suite is designed to test many aspects of the code in comparison to known problems having analytic solutions. It includes problems in pure hydrodyanamics, pure radiation, and problems that couple these two components together. Our supernova modeling code is V2D, a multi-species, multigroup, radiation-hydrodynamics code that uses flux-limited diffusion and is capable of modeling pair-coupled neutrino radiation-hydrodynamics. The hydrodynamics is evolved explicitly while the radiation evolution is implicit. The latter employs Newton-Krylov methods together with sparse-approximate-inverse preconditioners to find a fast parallel solution of the non-linear implicit equations. The entire algorithm is designed for straightforward implementation on large-scale, state-of-the-art, parallel-computing architectures.
We gratefully acknowledge the support of the U.S. Dept. of Energy, through SciDAC Award DE-FC02-01ER41185, by which this work was funded. We are also grateful to the National Energy Research Scientific Computing Center (NERSC) for computational support.

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