A quadratic programming flux correction method for high-order DG discretizations of SN transport

@article{Yee2019AQP,
  title={A quadratic programming flux correction method for high-order DG discretizations of SN transport},
  author={Ben C. Yee and Samuel S. Olivier and Terry S. Haut and M Holec and Vladimir Z. Tomov and Peter G. Maginot},
  journal={J. Comput. Phys.},
  year={2019},
  volume={419},
  pages={109696}
}
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9 Citations
Background Citations
2
Methods Citations
3

9 Citations

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35 References

The Newton-Krylov Method Applied to Negative-Flux Fixup in SN Transport Calculations

Newton’s method is used to solve fixed-source SN transport problems with negative-flux fixup, for which the analytic form of the Jacobian is shown to be nonsingular, demonstrating that Newton-Krylov can outperform SI, particularly for diffusive materials.

High-order local maximum principle preserving (MPP) discontinuous Galerkin finite element method for the transport equation

Nonnegative Methods for Bilinear Discontinuous Differencing of the SN Equations on Quadrilaterals

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Out of the three DSA schemes derived, the modified interior penalty (MIP) scheme is stable and effective for realistic problems, even with distorted elements, but loses effectiveness for some highly heterogeneous configurations.

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