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Title: Dynamic implicit 3D adaptive mesh refinement for non-equilibrium radiation diffusion

Abstract

The time dependent non-equilibrium radiation diffusion equations are important for solving the transport of energy through radiation in optically thick regimes and find applications in several fields including astrophysics and inertial confinement fusion. The associated initial boundary value problems that are encountered often exhibit a wide range of scales in space and time and are extremely challenging to solve. To efficiently and accurately simulate these systems we describe our research on combining techniques that will also find use more broadly for long term time integration of nonlinear multi-physics systems: implicit time integration for efficient long term time integration of stiff multi-physics systems, local control theory based step size control to minimize the required global number of time steps while controlling accuracy, dynamic 3D adaptive mesh refinement (AMR) to minimize memory and computational costs, Jacobian Free Newton–Krylov methods on AMR grids for efficient nonlinear solution, and optimal multilevel preconditioner components that provide level independent solver convergence.

Authors:
; ; ; ;
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Idaho National Lab. (INL), Idaho Falls, ID (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1126741
Report Number(s):
INL/JOU-14-31672
Journal ID: ISSN 0021-9991
DOE Contract Number:  
DE-AC07-05ID14517
Resource Type:
Journal Article
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 262; Journal ID: ISSN 0021-9991
Country of Publication:
United States
Language:
English
Subject:
99 GENERAL AND MISCELLANEOUS; Adaptive mesh refinement; Implicit methods; Jacobian Free Newton–Krylov; Multilevel solvers; Non-equilibrium radiation diffusion; Timestep control

Citation Formats

Philip, B., Wang, Z., Berrill, M. A., Birke, M., and Pernice, M. Dynamic implicit 3D adaptive mesh refinement for non-equilibrium radiation diffusion. United States: N. p., 2014. Web. doi:10.1016/j.jcp.2013.12.058.
Philip, B., Wang, Z., Berrill, M. A., Birke, M., & Pernice, M. Dynamic implicit 3D adaptive mesh refinement for non-equilibrium radiation diffusion. United States. https://doi.org/10.1016/j.jcp.2013.12.058
Philip, B., Wang, Z., Berrill, M. A., Birke, M., and Pernice, M. 2014. "Dynamic implicit 3D adaptive mesh refinement for non-equilibrium radiation diffusion". United States. https://doi.org/10.1016/j.jcp.2013.12.058.
@article{osti_1126741,
title = {Dynamic implicit 3D adaptive mesh refinement for non-equilibrium radiation diffusion},
author = {Philip, B. and Wang, Z. and Berrill, M. A. and Birke, M. and Pernice, M.},
abstractNote = {The time dependent non-equilibrium radiation diffusion equations are important for solving the transport of energy through radiation in optically thick regimes and find applications in several fields including astrophysics and inertial confinement fusion. The associated initial boundary value problems that are encountered often exhibit a wide range of scales in space and time and are extremely challenging to solve. To efficiently and accurately simulate these systems we describe our research on combining techniques that will also find use more broadly for long term time integration of nonlinear multi-physics systems: implicit time integration for efficient long term time integration of stiff multi-physics systems, local control theory based step size control to minimize the required global number of time steps while controlling accuracy, dynamic 3D adaptive mesh refinement (AMR) to minimize memory and computational costs, Jacobian Free Newton–Krylov methods on AMR grids for efficient nonlinear solution, and optimal multilevel preconditioner components that provide level independent solver convergence.},
doi = {10.1016/j.jcp.2013.12.058},
url = {https://www.osti.gov/biblio/1126741}, journal = {Journal of Computational Physics},
issn = {0021-9991},
number = ,
volume = 262,
place = {United States},
year = {Tue Apr 01 00:00:00 EDT 2014},
month = {Tue Apr 01 00:00:00 EDT 2014}
}