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Solution of Equilibrium Radiation Diffusion Problems Using Implicit Adaptive Mesh Refinement

Michael Pernice, Bobby Philip
2006 SIAM Journal on Scientific Computing  
In addition, to avoid any loss of accuracy due to linearization, implicit time integration should be used to solve the equilibrium radiation diffusion equation.  ...  In such circumstances it is natural to consider using adaptive mesh refinement (AMR) to place a fine mesh only in the vicinity of the propagating front.  ...  We have demonstrated the feasibility of combining implicit time integration with adaptive mesh refinement for equilibrium radiation diffusion problems.  ... 
doi:10.1137/040609069 fatcat:b2gff47xcfdgdkhsnrfxcb37ai

Moving mesh finite difference solution of non-equilibrium radiation diffusion equations [article]

Xiaobo Yang and Weizhang Huang and Jianxian Qiu
2018 arXiv   pre-print
A moving mesh finite difference method based on the moving mesh partial differential equation is proposed for the numerical solution of the 2T model for multi-material, non-equilibrium radiation diffusion  ...  Numerical results for a selection of examples of multi-material non-equilibrium radiation diffusion show that the method is capable of capturing the profiles and local structures of Marshak waves with  ...  [30] use adaptive mesh refinement to solve three-dimensional non-equilibrium radiation diffusion equations.  ... 
arXiv:1802.09521v1 fatcat:ow3yachs4bagxbopj373k7jbfq

A moving mesh finite difference method for equilibrium radiation diffusion equations

Xiaobo Yang, Weizhang Huang, Jianxian Qiu
2015 Journal of Computational Physics  
Philip, Solution of equilibrium radiation diffusion problems using im- plicit adaptive mesh refinement, SIAM J. Sci. Comput., 27:1709-1726 (electronic), 2006. [25] W. J. Rider, D. A.  ...  Pernice and Philip [24] use the AMR method (a structured adaptive mesh refinement method) to solve two-dimensional equilibrium radiation diffusion equa- tions.  ... 
doi:10.1016/j.jcp.2015.06.014 fatcat:whuby7wj7fexvpv5mthayrugai

A fast, robust, and simple implicit method for adaptive time-stepping on adaptive mesh-refinement grids

B. Commerçon, V. Debout, R. Teyssier
2014 Astronomy and Astrophysics  
We have developed a simple but robust method for adaptive time-stepping of implicit scheme on adaptive mesh-refinement grids.  ...  We present a new method for implicit adaptive time-stepping on adaptive mesh refinement-grids.  ...  We thank the anonymous referee for his/her comments that have improved the quality of the paper. B.C. thanks Neil Vaytet and Patrick Hennebelle for useful comments and discussions.  ... 
doi:10.1051/0004-6361/201322858 fatcat:6ddwri7hbvbwjcthab3623vxkq

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  ...  the non-equilibrium radiation diffusion application presented in this paper.  ... 
doi:10.1016/j.jcp.2013.12.058 fatcat:de42xhr73vgdrmhleiomiyzraa

Self-consistent solution of cosmological radiation-hydrodynamics and chemical ionization

Daniel R. Reynolds, John C. Hayes, Pascal Paschos, Michael L. Norman
2009 Journal of Computational Physics  
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  ...  We describe this approach and provide results on a suite of test problems, demonstrating its accuracy, robustness, and scalability to very large problems.  ...  the US Department of Energy by the University of California, Lawrence Livermore National Laboratory under Contract W-7405-ENG-48.  ... 
doi:10.1016/j.jcp.2009.06.006 fatcat:udktxvz22vaefnkkr7qskfz4ty

VETTAM: A scheme for radiation hydrodynamics with adaptive mesh refinement using the variable Eddington tensor method [article]

Shyam H. Menon, Christoph Federrath, Mark R. Krumholz, Rolf Kuiper, Benjamin D. Wibking, Manuel Jung
2022 arXiv   pre-print
We present Variable Eddington Tensor-closed Transport on Adaptive Meshes (), a new algorithm to solve the equations of radiation hydrodynamics (RHD) with support for adaptive mesh refinement (AMR) in a  ...  We use a Godunov method for the hyperbolic transport of radiation with an implicit backwards-Euler temporal update to avoid the explicit timestep constraint imposed by the light-crossing time, and a fixed-point  ...  Davis for discussions that assisted in the progress of the project. S. H. M would also like to thank M.  ... 
arXiv:2202.08778v1 fatcat:7r6duvwgznao3oppjfgrl2zqri

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 solution of the radiation diffusion on the moving AMR mesh is based on work by Howell, et al. [9] on a (fixed) Eulerian AMR mesh.  ... 
doi:10.1051/jp4:2006133118 fatcat:6amtuy5ayjcwff3iynnxrgbmjy

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  
space, and (3) an implicit solve of the stiff radiation diffusion, heat conduction, and energy exchange.  ...  We describe the CRASH (Center for Radiative Shock Hydrodynamics) code, a block adaptive mesh code for multi-material radiation hydrodynamics.  ...  The Eulerian code RAGE (Gittings et al. 2008 ) uses a cell-based adaptive mesh refinement (AMR) to achieve resolved radiative hydrodynamic flows.  ... 
doi:10.1088/0067-0049/194/2/23 fatcat:oogzxa3xunciniqpo3keaytaze

Cosmological Radiation Hydrodynamics with ENZO [article]

Michael L. Norman, Daniel R. Reynolds, Geoffrey C. So
2009 arXiv   pre-print
A novel feature of our algorithm is a coupled implicit solution of radiation transport, ionization kinetics, and gas photoheating, making the timestepping for this portion of the calculation resolution  ...  We describe an extension of the cosmological hydrodynamics code ENZO to include the self-consistent transport of ionizing radiation modeled in the flux-limited diffusion approximation.  ...  ACKNOWLEDGMENTS We would like to thanks our coauthors Pascal Paschos and John Hayes on [1] for their contributions to the formulation and testing of method described here.  ... 
arXiv:0908.2654v1 fatcat:2y4p6vgnbjfgfjhlai63iilezu

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.  ...  We also present a preliminary simulation of a three-dimensional proto-stellar collapse using 20 frequency groups.  ...  We finally acknowledge financial support from the "Programme National de Physique Stellaire" (PNPS) of CNRS/INSU, France.  ... 
doi:10.1051/0004-6361/201525971 fatcat:3gkdng4arvbbpokv7umudjjwoa

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  
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  ...  The gray radiation solver is based on a mixed-frame formulation of radiation hydrodynamics.  ...  CASTRO uses an Eulerian grid with blockstructured adaptive mesh refinement (AMR).  ... 
doi:10.1088/0067-0049/196/2/20 fatcat:b3rzpjupkfcrpilrwlueac4wsu

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  
) radiation diffusion algorithm, and some of the considerable amount of verification and validation efforts.  ...  Similarly, the radiation transport is a basic gray diffusion, but our treatment of the radiation-material coupling, wherein we converge nonlinearities in a novel manner to allow larger timesteps and more  ...  Zoldi of X-2 for permission to use figures from her thesis; W.  ... 
doi:10.1088/1749-4699/1/1/015005 fatcat:mxnbtmofl5gqtnbup2bm67qdzq

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

Benjamin D. Wibking, Mark R. Krumholz
2022 arXiv   pre-print
We use the AMReX library to handle the adaptive mesh management.  ...  We present Quokka, a new subcycling-in-time, block-structured adaptive mesh refinement (AMR) radiation hydrodynamics code optimised for graphics processing units (GPUs).  ...  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

radamesh: cosmological radiative transfer for Adaptive Mesh Refinement simulations

Sebastiano Cantalupo, Cristiano Porciani
2010 Monthly notices of the Royal Astronomical Society  
Among several new features, RADAMESH is able to adaptively refine the computational mesh in correspondence of the I-fronts, allowing to fully resolve them within large, cosmological boxes.  ...  This results in an increased accuracy level and, at the same time, a huge gain in computational speed with respect to a "classical" Monte Carlo RT, especially when combined with an Adaptive Mesh Refinement  ...  is followed with a time-dependent, non-equilibrium chemistry solver based on an implicit Runge-Kutta scheme of variable, adaptive order.  ... 
doi:10.1111/j.1365-2966.2010.17799.x fatcat:f4f7k46t6jg5hg5fatrfqh6moi
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