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Title:
Self-consistent solution of cosmological radiation-hydrodynamics and chemical ionization
Authors:
Reynolds, Daniel R.; Hayes, John C.; Paschos, Pascal; Norman, Michael L.
Affiliation:
AA(Mathematics, Southern Methodist University, Dallas, TX 75275-0156, United States), AB(Lawrence Livermore National Lab, P.O. Box 808, L-551, Livermore, CA 94551, United States), AC(Ctr. for Astrophysics and Space Sciences, U.C. San Diego, La Jolla, CA 92093, United States), AD(Ctr. for Astrophysics and Space Sciences, U.C. San Diego, La Jolla, CA 92093, United States; Physics Department, U.C. San Diego, La Jolla, CA 92093, United States)
Publication:
Journal of Computational Physics, Volume 228, Issue 18, p. 6833-6854.
Publication Date:
10/2009
Origin:
ELSEVIER
PACS Keywords:
Origin and formation of the Universe, Numerical simulation; solution of equations, Ordinary and partial differential equations; boundary value problems
Abstract Copyright:
Elsevier Inc.
DOI:
10.1016/j.jcp.2009.06.006
Bibliographic Code:
2009JCoPh.228.6833R

Abstract

We consider a PDE system comprising compressible hydrodynamics, flux-limited diffusion radiation transport and chemical ionization kinetics in a cosmologically-expanding universe. Under an operator-split framework, the cosmological hydrodynamics equations are solved through the piecewise parabolic method, as implemented in the Enzo community hydrodynamics code. The remainder of the model, including radiation transport, chemical ionization kinetics, and gas energy feedback, form a stiff coupled PDE system, which we solve using a fully-implicit inexact Newton approach, and which forms the crux of this paper. The inner linear Newton systems are solved using a Schur complement formulation, and employ a multigrid-preconditioned conjugate gradient solver for the inner Schur systems. We describe this approach and provide results on a suite of test problems, demonstrating its accuracy, robustness, and scalability to very large problems.
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