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Nuclear Science and Engineering Volume 193, 2019 - Issue 7
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Technical Papers

An Efficient Sweep-Based Solver for the SN Equations on High-Order Meshes

T. S. Hauta Lawrence Livermore National Laboratory, Center for Applied Scientific Computing, P.O. Box 7000, Livermore, California94551Correspondence[email protected]
,
P. G. Maginotb Lawrence Livermore National Laboratory, Design Physics Division, P.O. Box 7000, Livermore, California94551
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V. Z. Tomova Lawrence Livermore National Laboratory, Center for Applied Scientific Computing, P.O. Box 7000, Livermore, California94551
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B. S. Southworthc University of Colorado, Engineering Center, Department of Applied Mathematics, ECOT 225, 526 UCB, Boulder, Colorado80309-0526
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T. A. Brunnerb Lawrence Livermore National Laboratory, Design Physics Division, P.O. Box 7000, Livermore, California94551
&
T. S. Baileyb Lawrence Livermore National Laboratory, Design Physics Division, P.O. Box 7000, Livermore, California94551
Pages 746-759 | Received 24 Oct 2018, Accepted 19 Dec 2018, Published online: 11 Mar 2019

Citations (14)

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Read on this site (4)

Samuel Olivier & Terry S. Haut. (2023) High-Order Finite Element Second Moment Methods for Linear Transport. Nuclear Science and Engineering 0:0, pages 1-36.
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Samuel Olivier & Terry S. Haut. (2023) High-Order Mixed Finite Element Variable Eddington Factor Methods. Journal of Computational and Theoretical Transport 52:2, pages 79-142.
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B. S. Southworth, Milan Holec & T. S. Haut. (2021) Diffusion Synthetic Acceleration for Heterogeneous Domains, Compatible with Voids. Nuclear Science and Engineering 195:2, pages 119-136.
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Joshua Hanophy, Ben S. Southworth, Ruipeng Li, Tom Manteuffel & Jim Morel. (2020) Parallel Approximate Ideal Restriction Multigrid for Solving the S Transport Equations. Nuclear Science and Engineering 194:11, pages 989-1008.
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Articles from other publishers (10)

Ghadeer Alabandi, William Sands, George Biros & Martin Burtscher. (2023) A GPU Algorithm for Detecting Strongly Connected Components. A GPU Algorithm for Detecting Strongly Connected Components.
Samuel Olivier, Will Pazner, Terry S. Haut & Ben C. Yee. (2023) A family of independent Variable Eddington Factor methods with efficient preconditioned iterative solvers. Journal of Computational Physics 473, pages 111747.
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Yanni Gao, Xudeng Hang & Guangwei Yuan. (2022) An optimized sweeping solution method for the three-dimensional Sn equations of neutron transport on hexahedral meshes. Journal of Computational Physics 455, pages 110964.
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Ryan G. McClarren & Terry S. Haut. (2022) Data-driven acceleration of thermal radiation transfer calculations with the dynamic mode decomposition and a sequential singular value decomposition. Journal of Computational Physics 448, pages 110756.
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Will Pazner & Terry Haut. (2021) A short note on the accuracy of the discontinuous Galerkin method with reentrant faces. Journal of Computational Physics 443, pages 110448.
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P. Jolivet, M.A. Badri & Y. Favennec. (2021) Deterministic radiative transfer equation solver on unstructured tetrahedral meshes: Efficient assembly and preconditioning. Journal of Computational Physics 437, pages 110313.
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A. A. Sivas, B. S. Southworth & S. Rhebergen. (2021) AIR Algebraic Multigrid for a Space-Time Hybridizable Discontinuous Galerkin Discretization of Advection(-Diffusion). SIAM Journal on Scientific Computing 43:5, pages A3393-A3416.
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Jan I.C. Vermaak, Jean C. Ragusa, Marvin L. Adams & Jim E. Morel. (2021) Massively parallel transport sweeps on meshes with cyclic dependencies. Journal of Computational Physics 425, pages 109892.
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Terry S. Haut, Ben S. Southworth, Peter G. Maginot & Vladimir Z. Tomov. (2020) Diffusion Synthetic Acceleration Preconditioning for Discontinuous Galerkin Discretizations of $S_N$ Transport on High-Order Curved Meshes. SIAM Journal on Scientific Computing 42:5, pages B1271-B1301.
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Thomas A. Manteuffel, Steffen Münzenmaier, John Ruge & Ben Southworth. (2019) Nonsymmetric Reduction-Based Algebraic Multigrid. SIAM Journal on Scientific Computing 41:5, pages S242-S268.
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