Mathematical analysis and numerical resolution of a heat transfer problem arising in water recirculation
Analysis of PDEs
2020-02-20 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1902.00278,
title = {Mathematical analysis and numerical resolution of a heat transfer problem arising in water recirculation},
author = {Francisco J. Fernández and Lino J. Alvarez-Vázquez and Aurea Martínez},
journal= {arXiv preprint arXiv:1902.00278},
year = {2020}
}