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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  

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2013 pre-print arXiv:1302.6303v1 fatcat:pyi5gb3nynhfzlxzatnlwnml7y
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/j.jcp.2013.12.058 fatcat:de42xhr73vgdrmhleiomiyzraa
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B. Philip, Z. Wang, M.A. Berrill, M. Birke, M. Pernice. "Dynamic implicit 3D adaptive mesh refinement for non-equilibrium radiation diffusion." Journal of Computational Physics (2014) 17-37

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  

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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
Citation

A. E. Koniges, R. W. Anderson, P. Wang, B. T.N. Gunney, R. Becker, D. C. Eder, B. J. MacGowan, M. B. Schneider. "Modeling NIF experimental designs with adaptive mesh refinement and Lagrangian hydrodynamics." Journal de Physique IV : Proceedings (2006) 587-593

CRASH: A BLOCK-ADAPTIVE-MESH CODE FOR RADIATIVE SHOCK HYDRODYNAMICS—IMPLEMENTATION AND VERIFICATION

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  

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2011 pre-print
arXiv:1101.3758v1 fatcat:i7u6ymi73zdtreuyn4ahppqaru
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
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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. "CRASH: A BLOCK-ADAPTIVE-MESH CODE FOR RADIATIVE SHOCK HYDRODYNAMICS—IMPLEMENTATION AND VERIFICATION." Astrophysical Journal Supplement Series 194.2 (2011) 23

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  

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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
Citation

Wangyi Liu, Alice Koniges, Kevin Gott, David Eder, John Barnard, Alex Friedman, Nathan Masters, Aaron Fisher. "Surface tension models for a multi-material ALE code with AMR." Computers & Fluids (2017) 91-101

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

M. González, N. Vaytet, B. Commerçon, J. Masson
2015 Astronomy and Astrophysics  

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2015 pre-print
arXiv:1504.01894v1 fatcat:rxk2nbdbufdg5c5q4tf5qep64i
2015 accepted
arXiv:1504.01894v2 fatcat:6ukbb3djqbax7mvm3ujbssh674
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
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M. González, N. Vaytet, B. Commerçon, J. Masson. "Multigroup radiation hydrodynamics with flux-limited diffusion and adaptive mesh refinement." Astronomy and Astrophysics (2015) A12

CASTRO: A NEW COMPRESSIBLE ASTROPHYSICAL SOLVER. II. GRAY RADIATION HYDRODYNAMICS

W. Zhang, L. Howell, A. Almgren, A. Burrows, J. Bell
2011 Astrophysical Journal Supplement Series  

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2011 pre-print
arXiv:1105.2466v1 fatcat:xwa44d5qprakdivj3tq7nfb6du
2011 accepted
arXiv:1105.2466v2 fatcat:w7jmakqhvfcsdgsncfcpp3pvdi
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
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W. Zhang, L. Howell, A. Almgren, A. Burrows, J. Bell. "CASTRO: A NEW COMPRESSIBLE ASTROPHYSICAL SOLVER. II. GRAY RADIATION HYDRODYNAMICS." Astrophysical Journal Supplement Series 196.2 (2011) 20

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  

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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
Citation

N. Moens, J. O. Sundqvist, I. El Mellah, L. Poniatowski, J. Teunissen, R. Keppens. "Radiation-hydrodynamics with MPI-AMRVAC. Flux-limited diffusion." Astronomy and Astrophysics (2021)

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

Michael L. Norman
2004 arXiv   pre-print

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2004 pre-print
arXiv:astro-ph/0402230v1 fatcat:zr4zvgwhgvdwpbwuslvcujgsgu
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
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Michael L. Norman. "The Impact of AMR in Numerical Astrophysics and Cosmology." arXiv (2004)

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  

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2008 pre-print arXiv:0804.1394v1 fatcat:yikxczfsifbpjdtw6lyofvyvra
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
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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. "The RAGE radiation-hydrodynamic code." Computational Science & Discovery 1.1 (2008) 015005

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  

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2011 accepted
arXiv:1102.1216v3 fatcat:w2sovr5l2rd3xnhf7orj62ebpa
2011 pre-print
arXiv:1102.1216v2 fatcat:bde4o7v3ivhyxd4ifltcyfotka
2011 pre-print
arXiv:1102.1216v1 fatcat:ybufkwqvqjci3ieldgbp3rbkwy
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
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B. Commerçon, R. Teyssier, E. Audit, P. Hennebelle, G. Chabrier. "Radiation hydrodynamics with adaptive mesh refinement and application to prestellar core collapse." Astronomy and Astrophysics (2011) A35

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

Benjamin D. Wibking, Mark R. Krumholz
2022 arXiv   pre-print

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2021 pre-print
arXiv:2110.01792v1 fatcat:z637kcndkvdoncwfnlst2e72cu
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
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Benjamin D. Wibking, Mark R. Krumholz. "Quokka: A code for two-moment AMR radiation hydrodynamics on GPUs." arXiv (2022)

A fully implicit numerical method for single-fluid resistive magnetohydrodynamics

Daniel R. Reynolds, Ravi Samtaney, Carol S. Woodward
2006 Journal of Computational Physics  

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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/j.jcp.2006.03.022 fatcat:2zefgscrwffkfcqethe2w2io6e
Citation

Daniel R. Reynolds, Ravi Samtaney, Carol S. Woodward. "A fully implicit numerical method for single-fluid resistive magnetohydrodynamics." Journal of Computational Physics 219.1 (2006) 144-162

Implicit adaptive mesh refinement for 2D reduced resistive magnetohydrodynamics

Bobby Philip, Luis Chacón, Michael Pernice
2008 Journal of Computational Physics  

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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/j.jcp.2008.06.029 fatcat:xfpq3dgbizdt5i6emrfl4jmpbq
Citation

Bobby Philip, Luis Chacón, Michael Pernice. "Implicit adaptive mesh refinement for 2D reduced resistive magnetohydrodynamics." Journal of Computational Physics 227.20 (2008) 8855-8874

Three-dimensional numerical cosmological radiative transfer in an inhomogeneous medium

A. O. Razoumov, D. Scott
1999 Monthly notices of the Royal Astronomical Society  

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1998 pre-print
arXiv:astro-ph/9810425v2 fatcat:gzu2gfdsozgrdckxeczvkzcwny
1999 accepted
arXiv:astro-ph/9810425v3 fatcat:r33wcqis4bdmvjemcxxbjtrl5q
1998 pre-print
arXiv:astro-ph/9810425v1 fatcat:53dm7eea75cgzh4r2s2yk6w2em
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
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A. O. Razoumov, D. Scott. "Three-dimensional numerical cosmological radiative transfer in an inhomogeneous medium." Monthly notices of the Royal Astronomical Society 309.2 (1999) 287-298

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  

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2015 pre-print
arXiv:1509.07037v2 fatcat:lqyyjq6mzvc2bceuqk4y5ra23y
2015 accepted
arXiv:1509.07037v3 fatcat:t3yaa2wahvguzdhd74emkrjoj4
2015 pre-print
arXiv:1509.07037v1 fatcat:riijpcktdzfrrizeoqtwwkkai4
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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Citation

Yohan Dubois, Benoît Commerçon. "An implicit scheme for solving the anisotropic diffusion of heat and cosmic rays in the RAMSES code." Astronomy and Astrophysics (2016) A138

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