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

B. Philip, Z. Wang, M.A. Berrill, M. Birke, M. Pernice
2014 Journal of Computational Physics  
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  ...  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  ...  access to a CRAY XE6 system for extensive testing of the non-equilibrium radiation diffusion application presented in this paper.  ... 
doi:10.1016/ fatcat:de42xhr73vgdrmhleiomiyzraa

Modeling NIF experimental designs with adaptive mesh refinement and Lagrangian hydrodynamics

A. E. Koniges, R. W. Anderson, P. Wang, B. T.N. Gunney, R. Becker, D. C. Eder, B. J. MacGowan, M. B. Schneider
2006 Journal de Physique IV : Proceedings  
Incorporation of adaptive mesh refinement (AMR) into Lagrangian hydrodynamics algorithms allows for the creation of a highly powerful simulation tool effective for complex target designs with three-dimensional  ...  Several essential computations in ordinary radiation hydrodynamics need to be redesigned in order to allow for AMR to work well with ALE, including algorithms associated with radiation transport.  ...  The coarsening and refining is based on a hierarchical grid structure that changes dynamically in time-structured adaptive mesh refinement.  ... 
doi:10.1051/jp4:2006133118 fatcat:6amtuy5ayjcwff3iynnxrgbmjy


B. van der Holst, G. Tóth, I. V. Sokolov, K. G. Powell, J. P. Holloway, E. S. Myra, Q. Stout, M. L. Adams, J. E. Morel, S. Karni, B. Fryxell, R. P. Drake
2011 Astrophysical Journal Supplement Series  
We describe the CRASH (Center for Radiative Shock Hydrodynamics) code, a block adaptive mesh code for multi-material radiation hydrodynamics.  ...  space, and (3) an implicit solve of the stiff radiation diffusion, heat conduction, and energy exchange.  ...  One level of dynamic mesh refinement is used at material interfaces and the shock front.  ... 
doi:10.1088/0067-0049/194/2/23 fatcat:oogzxa3xunciniqpo3keaytaze

Surface tension models for a multi-material ALE code with AMR

Wangyi Liu, Alice Koniges, Kevin Gott, David Eder, John Barnard, Alex Friedman, Nathan Masters, Aaron Fisher
2017 Computers & Fluids  
A number of surface tension models have been implemented in a 3D multi-physics multi-material code, ALE-AMR, which combines Arbitrary Lagrangian Eulerian (ALE) hydrodynamics with Adaptive Mesh Refinement  ...  ALE-AMR is unique in its ability to model hot radiating plasmas, cold fragmenting solids, and most recently, the deformation of molten material.  ...  AMR for gas-dynamics [7] using the Structured Adaptive Mesh Refinement Application Interface (SAMRAI) [8] , we have developed a fully featured modeling code, ALE-AMR.  ... 
doi:10.1016/j.compfluid.2017.01.016 fatcat:emngqtpdsbchlpoj2qd2cll7wi

Multigroup radiation hydrodynamics with flux-limited diffusion and adaptive mesh refinement

M. González, N. Vaytet, B. Commerçon, J. Masson
2015 Astronomy and Astrophysics  
We wish to develop an efficient multigroup algorithm for the adaptive mesh refinement code RAMSES which is suited to heavy proto-stellar collapse calculations.  ...  under the flux-limited diffusion approximation.  ...  .: Multigroup radiation hydrodynamics with adaptive mesh refinement -13 -12 -12 -12 -11 -11 -10 -11 -10 -11 -10 -9 -10 -9 -10 -9 -8 -10 -9 -8 -11 -10 -9 -8 -7 -12 -11 -10 -9 -8 -7 -6-14-13-12-11-10 -9  ... 
doi:10.1051/0004-6361/201525971 fatcat:3gkdng4arvbbpokv7umudjjwoa


W. Zhang, L. Howell, A. Almgren, A. Burrows, J. Bell
2011 Astrophysical Journal Supplement Series  
CASTRO uses an Eulerian grid with block-structured adaptive mesh refinement based on a nested hierarchy of logically-rectangular variable-sized grids with simultaneous refinement in both space and time  ...  We describe the development of a flux-limited gray radiation solver for the compressible astrophysics code, CASTRO.  ...  CASTRO uses an Eulerian grid with blockstructured adaptive mesh refinement (AMR).  ... 
doi:10.1088/0067-0049/196/2/20 fatcat:b3rzpjupkfcrpilrwlueac4wsu

Radiation-hydrodynamics with MPI-AMRVAC. Flux-limited diffusion

N. Moens, J. O. Sundqvist, I. El Mellah, L. Poniatowski, J. Teunissen, R. Keppens
2021 Astronomy and Astrophysics  
A non-equilibrium, flux-limiting diffusion approximation was used to close the radiation momentum and energy equations.  ...  We built upon the finite volume code MPI-AMRVAC to solve the equations of hydrodynamics on multi-dimensional adaptive meshes and introduce a new module to handle the coupling with radiation.  ...  We thank the referee for their constructive feedback on the manuscript.  ... 
doi:10.1051/0004-6361/202141023 fatcat:iloxvpyovre23h2hwafndnhwm4

The Impact of AMR in Numerical Astrophysics and Cosmology [article]

Michael L. Norman
2004 arXiv   pre-print
Two basic techniques are in use to extend the dynamic range of Eulerian grid simulations in multi-dimensions: cell refinement, and patch refinement, otherwise known as block-structured adaptive mesh refinement  ...  I survey the use and impact of adaptive mesh refinement (AMR) simulations in numerical astrophysics and cosmology.  ...  Introduction Since its introduction roughly 20 years ago [1] , adaptive mesh refinement (AMR) has emerged as an important class of numerical techniques for improving the accuracy and dynamic range of  ... 
arXiv:astro-ph/0402230v2 fatcat:36q7m2ajebbbployrgdaxgcaom

The RAGE radiation-hydrodynamic code

Michael Gittings, Robert Weaver, Michael Clover, Thomas Betlach, Nelson Byrne, Robert Coker, Edward Dendy, Robert Hueckstaedt, Kim New, W Rob Oakes, Dale Ranta, Ryan Stefan
2008 Computational Science & Discovery  
We describe RAGE, the "Radiation Adaptive Grid Eulerian" radiation-hydrodynamics code, including its data structures, its parallelization strategy and performance, its hydrodynamic algorithm(s), its (gray  ...  ) radiation diffusion algorithm, and some of the considerable amount of verification and validation efforts.  ...  (PAL), CCS-3, for their work benchmarking RAGE on multiple architectures and for providing the results to us.  ... 
doi:10.1088/1749-4699/1/1/015005 fatcat:mxnbtmofl5gqtnbup2bm67qdzq

Radiation hydrodynamics with adaptive mesh refinement and application to prestellar core collapse

B. Commerçon, R. Teyssier, E. Audit, P. Hennebelle, G. Chabrier
2011 Astronomy and Astrophysics  
We have developed a full radiation hydrodynamics solver in the RAMSES code, that handles adaptive mesh refinement grids.  ...  The solver is based on the second-order Godunov scheme of RAMSES for its hyperbolic part, and on an implicit scheme for the radiation diffusion and the coupling between radiation and matter.  ...  .: Radiation hydrodynamics with adaptive mesh refinement and application to prestellar core collapse. I.  ... 
doi:10.1051/0004-6361/201015880 fatcat:bc6otdgtgbcwpee24pd22zczy4

Quokka: A code for two-moment AMR radiation hydrodynamics on GPUs [article]

Benjamin D. Wibking, Mark R. Krumholz
2022 arXiv   pre-print
We present Quokka, a new subcycling-in-time, block-structured adaptive mesh refinement (AMR) radiation hydrodynamics code optimised for graphics processing units (GPUs).  ...  We use the AMReX library to handle the adaptive mesh management.  ...  ACKNOWLEDGEMENTS We thank Andrew Myers and Weiqun Zhang at LBNL for technical advice and assistance in using AMReX. BDW thanks Shyam Menon for discussions regarding the radiation-driven shell test.  ... 
arXiv:2110.01792v2 fatcat:bs5xftbqnzhmnhem4a4ym35snq

A fully implicit numerical method for single-fluid resistive magnetohydrodynamics

Daniel R. Reynolds, Ravi Samtaney, Carol S. Woodward
2006 Journal of Computational Physics  
We present a nonlinearly implicit, conservative numerical method for integration of the single-fluid resistive MHD equations.  ...  A high-order adaptive time integration is employed, which in many cases enables time steps ranging from one to two orders of magnitude larger than those constrained by the explicit CFL condition.  ...  High-order adaptive time discretization As previously discussed, we employ high-order implicit methods for time integration of the system (2.1), in order to accurately evolve the system along the dynamical  ... 
doi:10.1016/ fatcat:2zefgscrwffkfcqethe2w2io6e

Implicit adaptive mesh refinement for 2D reduced resistive magnetohydrodynamics

Bobby Philip, Luis Chacón, Michael Pernice
2008 Journal of Computational Physics  
An implicit structured-adaptive-mesh-refinement (SAMR) solver for 2D reduced magnetohydrodynamics (MHD) is described.  ...  The time-implicit discretization is able to step over fast normal modes, while the spatial adaptivity resolves thin, dynamically evolving features.  ...  2D radiation-diffusion [40] .  ... 
doi:10.1016/ fatcat:xfpq3dgbizdt5i6emrfl4jmpbq

Three-dimensional numerical cosmological radiative transfer in an inhomogeneous medium

A. O. Razoumov, D. Scott
1999 Monthly notices of the Royal Astronomical Society  
Our approach combines the explicit advection of radiation variables with the implicit solution of local rate equations given the radiation field at each point.  ...  a 3D clumpy medium.  ...  to 3D (within the accuracy of interpolation between the 3D mesh and the rays, see Fig. 3 for details).  ... 
doi:10.1046/j.1365-8711.1999.02775.x fatcat:q245fizbznh6toto7yfegd5mm4

An implicit scheme for solving the anisotropic diffusion of heat and cosmic rays in the RAMSES code

Yohan Dubois, Benoît Commerçon
2016 Astronomy and Astrophysics  
We introduce a new method for solving the anisotropic diffusion equation using an implicit finite-volume method with adaptive mesh refinement and adaptive time-stepping in the RAMSES code.  ...  We apply this numerical solver to the diffusion of cosmic ray energy, and diffusion of heat carried by electrons, which couple to the ion temperature.  ...  Rouberol for smoothly running the Horizon cluster on which several simulations were run. We thank the anonymous referee for help clarifying several aspects of the paper.  ... 
doi:10.1051/0004-6361/201527126 fatcat:krvz6ri37feftp7yduzj35opda
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