Flux-corrected transport techniques applied to the radiation transport equation discretized with continuous finite elements

Hansel, Joshua E.; Ragusa, Jean C.

doi:10.1016/j.jcp.2017.10.029

Title: Flux-corrected transport techniques applied to the radiation transport equation discretized with continuous finite elements

Full Record
Other Related Research

Authors:

Hansel, Joshua E.;

Publication Date:: 2018-02-01

Sponsoring Org.:: USDOE

OSTI Identifier:: 1547113

Grant/Contract Number:: NE-0000112; DEAC07-05ID14517

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Journal of Computational Physics

Additional Journal Information:: Journal Name: Journal of Computational Physics Journal Volume: 354 Journal Issue: C; Journal ID: ISSN 0021-9991

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Citation Formats


                    Hansel, Joshua E., and Ragusa, Jean C. Flux-corrected transport techniques applied to the radiation transport equation discretized with continuous finite elements.  United States: N. p., 2018. 
Web.  doi:10.1016/j.jcp.2017.10.029.

Copy to clipboard


                    Hansel, Joshua E., & Ragusa, Jean C. Flux-corrected transport techniques applied to the radiation transport equation discretized with continuous finite elements.  United States.  https://doi.org/10.1016/j.jcp.2017.10.029

Copy to clipboard


                    Hansel, Joshua E., and Ragusa, Jean C. Thu .  
"Flux-corrected transport techniques applied to the radiation transport equation discretized with continuous finite elements".  United States.  https://doi.org/10.1016/j.jcp.2017.10.029.

Copy to clipboard


                    
@article{osti_1547113,

  title        = {Flux-corrected transport techniques applied to the radiation transport equation discretized with continuous finite elements},

  author       = {Hansel, Joshua E. and Ragusa, Jean C.},

  abstractNote = {},

  doi          = {10.1016/j.jcp.2017.10.029},

  journal      = {Journal of Computational Physics},

  number       = C,

  volume       = 354,

  place        = {United States},

  year         = {2018},

  month        = {2}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1016/j.jcp.2017.10.029

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 1 work

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Similar Records in DOE PAGES and OSTI.GOV collections:

Flux-corrected transport techniques applied to the radiation transport equation discretized with continuous finite elements

Journal Article Hansel, Joshua E. ; Ragusa, Jean C. - Journal of Computational Physics

Not provided.
https://doi.org/10.1016/j.jcp.2017.10.029
Nonlinear Acceleration of a Continuous Finite Element Discretization of the Self-Adjoint Angular Flux Form of the Transport Equation

Journal Article Sanchez, Richard ; Rabiti, Cristian ; Wang, Yaqi - Nuclear Science and Engineering

Nonlinear acceleration of a continuous finite element (CFE) discretization of the transport equation requires a modification of the transport solution in order to achieve local conservation, a condition used in nonlinear acceleration to define the stopping criterion. In this work we implement a coarse-mesh finite difference acceleration for a CFE discretization of the second-order self-adjoint angular flux (SAAF) form of the transport equation and use a postprocessing to enforce local conservation. Numerical results are given for one-group source calculations of one-dimensional slabs. We also give a novel formal derivation of the boundary conditions for the SAAF.
https://doi.org/10.13182/NSE12-50
Nonlinear acceleration of a continuous finite element discretization of the self-adjoint angular flux form of the transport equation

Conference Sanchez, R. ; Rabiti, C. ; Wang, Y.

Nonlinear acceleration of a continuous finite element (CFE) discretization of the transport equation requires a modification of the transport solution in order to achieve local conservation, a condition used in nonlinear acceleration to define the stopping criterion. In this work we implement a coarse-mesh finite difference acceleration for a CFE discretization of the second-order self adjoint angular flux (SAAF) form of the transport equation and use a post processing to enforce local conservation. Numerical results are given for one-group source calculations of one-dimensional slabs. We also give a formal derivation of the boundary conditions for the SAAF. (authors)
Flux-corrected transport algorithms for continuous Galerkin methods based on high order Bernstein finite elements

Journal Article Lohmann, Christoph ; Kuzmin, Dmitri ; Shadid, John N. ; ... - Journal of Computational Physics
Cited by 2
https://doi.org/10.1016/j.jcp.2017.04.059
A flexible nonlinear diffusion acceleration method for the S_N transport equations discretized with discontinuous finite elements

Journal Article Schunert, Sebastian ; Wang, Yaqi ; Gleicher, Frederick ; ... - Journal of Computational Physics

This paper presents a flexible nonlinear diffusion acceleration (NDA) method that discretizes both the S_N transport equation and the diffusion equation using the discontinuous finite element method (DFEM). The method is flexible in that the diffusion equation can be discretized on a coarser mesh with the only restriction that it is nested within the transport mesh and the FEM shape function orders of the two equations can be different. The consistency of the transport and diffusion solutions at convergence is defined by using a projection operator mapping the transport into the diffusion FEM space. The diffusion weak form is basedmore »« less
Cited by 3
https://doi.org/10.1016/j.jcp.2017.01.070

Full Text Available

Similar Records