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The development of NekRS, a GPU-oriented thermal-fluids simulation code based on the spectral element method (SEM) is described.
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J. W. Lottes, P. F. Fischer, Hybrid multigrid/Schwarz algorithms for the spectral element method, J. Sci. Comput. 24 (2005) 45–78
P. Fischer, K. Heisey, M. Min, Scaling limits for PDE-based simulation (invited), in: 22nd AIAA Computational Fluid Dynamics Conference, AIAA Aviation, AIAA 2015-3049, 2015
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D. Medina, Okl: a unified language for parallel architectures, Ph.D. thesis, Rice University (2015)
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J. F. Remacle, R. Gandham, T. Warburton, Gpu accelerated spectral finite elements on all-hex meshes 324 (2016) 246–257
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K. Świrydowicz, N. Chalmers, A. Karakus, T. Warburton, Acceleration of tensor-product operations for high-order finite element methods, Int. J. of High Performance Comput. App. 33 (4) (2019) 735–757
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A. Karakus, N. Chalmers, K. Świrydowicz, T. Warburton, A gpu accelerated discontinuous galerkin incompressible flow solver, J. Comp. Phys. 390 (2019) 380–404
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J. Guermond, P. Minev, J. Shen, An overview of projection methods for incompressible flows, Comput. Methods Appl. Mech. Engrg. 195 (2006) 6011–6045
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P. Fischer, J. Lottes, W. Pointer, A. Siegel, Petascale algorithms for reactor hydrodynamics, J. Phys. Conf. Series 125 (2008) 012076
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C. Canuto, P. Gervasio, A. Quarteroni, Finite-element preconditioning of G-NI spectral methods, SIAM J. Sci. Comput. 31 (2010) 4422–44251
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http://arxiv.org/abs/1108.1310 arXiv:1108.1310
O. E. Livne, A. Brandt, Lean algebraic multigrid (lamg): Fast graph Laplacian linear solver (2012) · 2012
Cited alongside, same era.
J. Malm, P. Schlatter, P. Fischer, D. Henningson, Stabilization of the spectral-element method in convection dominated flows by recovery of skew symmetry, J. Sci. Comp. 57 (2013) 254–277
2013
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R. Gandham, K. Esler, YongpengZhang, A gpu accelerated aggregation algebraic multigrid method, Comp. & Math. with App. 68 (2014) 1151–1160
2014
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2019
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P. Bello-Maldonado, P. Fischer, Scalable low-order finite element preconditioners for high-order spectral element Poisson solvers, SIAM J. Sci. Comput. 41 (2019) S2–S18
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G. Busco, E. Merzari, Y. A. Hassan, Invariant analysis of the Reynolds stress tensor for a nuclear fuel assembly with spacer grid and split type vanes., Int. J. of Heat and Fluid Flow 77 (2019) 144–156
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Nek: Open source, highly scalable and portable spectral element code, http://nek5000.mcs.anl.gov (2020)
2020
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P. Fischer, M. Min, T. Rathnayake, S. Dutta, T. Kolev, V. Dobrev, J.-S. Camier, M. Kronbichler, T. Warburton, K. Swirydowicz, J. Brown, Scalability of high-performance PDE solvers, IJHPCA 34, 5 (2020) 562–586
2020
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gslib: Gather-scatter library (2020). http://github.com/Nek5000/gslib
2020
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N. Chalmers, A. Karakus, A. P. Austin, K. Swirydowicz, T. Warburton, libParanumal (2020). http://github.com/paranumal/libparanumal
2020
Later among the works it cites.
OCCA: Lightweight performance portability library, http://libocca.org (2020)
2020
Later among the works it cites.