RT Journal Article T1 Mathematical analysis and numerical resolution of a heat transfer problem arising in water recirculation A1 Fernández Fernández, Francisco Javier A1 Álvarez Vázquez, Lino José A1 Martínez Varela, Aurea Maria K1 1206.13 Ecuaciones Diferenciales en Derivadas Parciales K1 2501.21 Simulación Numérica K1 3308.11 Control de la Contaminación del Agua AB This work is devoted to the analysis and resolution of a well-posed mathematical model for several processes involved in the artificial circulation of water in a large waterbody. This novel formulation couples the convective heat transfer equation with the modified Navier–Stokes system following a Smagorinsky turbulence model, completed with a suitable set of mixed, nonhomogeneous boundary conditions of diffusive, convective and radiative type. We prove several theoretical results related to existence of solution, and propose a full algorithm for its computation, illustrated with some realistic numerical examples. PB Journal of Computational and Applied Mathematics SN 03770427 YR 2020 FD 2020-03-01 LK http://hdl.handle.net/11093/5699 UL http://hdl.handle.net/11093/5699 LA eng NO Journal of Computational and Applied Mathematics, 366, 112402 (2020) NO Ministerio de Economía y Competitividad | Ref. MTM2015-65570-P DS Investigo RD 16-sep-2024