Stability analysis of nonlinear two-grid method for multigroup neutron diffusion problems

Anistratov, Dmitriy Y.; Cornejo, Luke R.; Jones, Jesse P.

doi:10.1016/j.jcp.2017.06.014

Title: Stability analysis of nonlinear two-grid method for multigroup neutron diffusion problems

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Authors:

Anistratov, Dmitriy Y.; Cornejo, Luke R.;

Publication Date:: 2017-10-01

Sponsoring Org.:: USDOE

OSTI Identifier:: 1550344

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Journal of Computational Physics

Additional Journal Information:: Journal Name: Journal of Computational Physics Journal Volume: 346 Journal Issue: C; Journal ID: ISSN 0021-9991

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

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                    Anistratov, Dmitriy Y., Cornejo, Luke R., and Jones, Jesse P. Stability analysis of nonlinear two-grid method for multigroup neutron diffusion problems.  United States: N. p., 2017. 
        Web.  doi:10.1016/j.jcp.2017.06.014.

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                    Anistratov, Dmitriy Y., Cornejo, Luke R., & Jones, Jesse P. Stability analysis of nonlinear two-grid method for multigroup neutron diffusion problems.  United States.  doi:https://doi.org/10.1016/j.jcp.2017.06.014

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                    Anistratov, Dmitriy Y., Cornejo, Luke R., and Jones, Jesse P. Sun .  
        "Stability analysis of nonlinear two-grid method for multigroup neutron diffusion problems".  United States.  doi:https://doi.org/10.1016/j.jcp.2017.06.014.

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@article{osti_1550344,

  title        = {Stability analysis of nonlinear two-grid method for multigroup neutron diffusion problems},

  author       = {Anistratov, Dmitriy Y. and Cornejo, Luke R. and Jones, Jesse P.},

  abstractNote = {},

  doi          = {10.1016/j.jcp.2017.06.014},

  journal      = {Journal of Computational Physics},

  number       = C,

  volume       = 346,

  place        = {United States},

  year         = {2017},

  month        = {10}

}

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DOI: https://doi.org/10.1016/j.jcp.2017.06.014

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Stability analysis of nonlinear two-grid method for multigroup neutron diffusion problems

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We present theoretical analysis of a nonlinear acceleration method for solving multigroup neutron diffusion problems. This method is formulated with two energy grids that are defined by (i) fine-energy groups structure and (ii) coarse grid with just a single energy group. The coarse-grid equations are derived by averaging of the multigroup diffusion equations over energy. The method uses a nonlinear prolongation operator. We perform stability analysis of iteration algorithms for inhomogeneous (fixed-source) and eigenvalue neutron diffusion problems. To apply Fourier analysis the equations of the method are linearized about solutions of infinite-medium problems. The developed analysis enables us to predictmore »« less
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