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Continuous pseudospectral methods for the neutron diffusion equation in 1D geometries |
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| Authors: | S Gonzlez-Pintor D Ginestar G Verdú |
| Institution: | aDepartamento de Ingeniería Química y Nuclear, Universidad Politécnica de Valencia, Camino de Vera 14, E-46022 Valencia, Spain;bInstituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Camino de Vera 14, E-46022 Valencia, Spain |
| Abstract: | The PL equations are classical approximations to the neutron transport equation that admit a diffusive form. The diffusive form of the P1 approximation is known as the neutron diffusion equation. Different methods based on the expansion of the neutron flux in terms of a continuous basis of polynomials have been developed for the neutron diffusion equation and tested using two 1D benchmark problems. |
| Keywords: | Lambda modes Pseudospectral methods Nuclear reactors |
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