Jacobian-free Newton Krylov discontinuous Galerkin method and physics-based preconditioning for nuclear reactor simulations

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We present high-order accurate spatiotemporal discretization of all-speed flow solvers using Jacobian-free Newton Krylov framework. One of the key developments in this work is the physics-based preconditioner for the all-speed flow, which makes use of traditional semi-implicit schemes. The physics-based preconditioner is developed in the primitive variable form, which allows a straightforward separation of physical phenomena. Numerical examples demonstrate that the developed preconditioner effectively reduces the number of the Krylov iterations, and the efficiency is independent of the Mach number and mesh sizes under a fixed CFL condition.

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Park, HyeongKae; Nourgaliev, Robert R.; Martineau, Richard C. & Knoll, Dana A. September 1, 2008.

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We present high-order accurate spatiotemporal discretization of all-speed flow solvers using Jacobian-free Newton Krylov framework. One of the key developments in this work is the physics-based preconditioner for the all-speed flow, which makes use of traditional semi-implicit schemes. The physics-based preconditioner is developed in the primitive variable form, which allows a straightforward separation of physical phenomena. Numerical examples demonstrate that the developed preconditioner effectively reduces the number of the Krylov iterations, and the efficiency is independent of the Mach number and mesh sizes under a fixed CFL condition.

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  • PHYSOR 2008,Interlaken, Switzerland,09/14/2008,09/18/2008

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  • Report No.: INL/CON-08-14243
  • Grant Number: DE-AC07-99ID-13727
  • Office of Scientific & Technical Information Report Number: 940059
  • Archival Resource Key: ark:/67531/metadc902800

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  • September 1, 2008

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  • Sept. 27, 2016, 1:39 a.m.

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  • Dec. 5, 2016, 9:47 p.m.

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Park, HyeongKae; Nourgaliev, Robert R.; Martineau, Richard C. & Knoll, Dana A. Jacobian-free Newton Krylov discontinuous Galerkin method and physics-based preconditioning for nuclear reactor simulations, article, September 1, 2008; [Idaho Falls, Idaho]. (digital.library.unt.edu/ark:/67531/metadc902800/: accessed April 25, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.