A KP1 Scheme for Acceleration of Inner Iterations for the Transport Equation in 3D Geometry Consistent with Nodal Schemes: 2. Splitting Method for Solving the P1 System for Acceleration Corrections

Author:

Voloshchenko A. M.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Reference24 articles.

1. A. M. Voloshchenko, “A $$K{{P}_{1}}$$ scheme for acceleration of inner iterations for the transport equation in 3D geometry consistent with nodal schemes: Basic equations and numerical results,” Comput. Math. Math. Phys. 59 (3), 414–436 (2019).

2. G. I. Marchuk and V. I. Lebedev, Numerical Methods in the Theory of Neutron Transport (Atomizdat, Moscow, 1981; Harwood, New York, 1986).

3. R. E. Alcouffe, “Diffusion synthetic acceleration methods for the diamond-differenced discrete-ordinates equations,” Nucl. Sci. Eng. 64 (2), 344 (1977).

4. M. L. Adams and E. W. Larsen, “Fast iterative methods for discrete-ordinates particle transport calculations,” Progr. Nucl. Energy 40 (1), 3 (2002).

5. L. J. Lorence, J. E. Morel, and E. W. Larsen, “An $${{S}_{2}}$$ synthetic acceleration method for the one-dimensional $${{S}_{N}}$$ equations with linear discontinuous spatial differencing,” Nucl. Sci. Eng. 101 (2), 341 (1989).

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