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THMT-18. Turbulence Heat and Mass Transfer 9 Proceedings of the Ninth International Symposium On Turbulence Heat and Mass Transfer
July, 10-13, 2018, Rio de Janeiro, Brazil

DOI: 10.1615/THMT-18


ISBN Print: 978-1-56700-468-7

ISBN Online: 978-1-56700-467-0

ISSN Print: 2377-2816

Computational-Analytical Integral Transforms and Lumped-Differential Formulations: Benchmarks and Applications in Nuclear Technology

pages 125-140
DOI: 10.1615/THMT-18.80
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SINOPSIS

A mixed lumped-differential reformulation strategy, known as the Coupled Integral Equations Approach (CIEA), and a unified integral transforms solution methodology, known as the Generalized Integral Transform Technique (GITT), are reviewed in the computational-analytical handling of nonlinear diffusion and convection-diffusion problems. The aim of the CIEA is to reduce the number of space variables in the associated partial differential equations, by improved averaging processes through Hermite integration formulae. On the other hand, the GITT is aimed at providing hybrid numerical-analytical solutions to partial differential equations, by eliminating all but one of the independent variables through analytical eigenfunction expansions, followed by an integral transformation process that yields a transformed ordinary differential system to be numerically solved for the transformed potentials. The two approaches can be used independently or in combination and are here illustrated for problems associated with nuclear technology applications, such as the thermal analysis of high burnup nuclear fuel rods and the wet storage of spent nuclear fuel elements with passive pool cooling.

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