Article de revue (2021)
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Abstract
This paper presents an approximation of the finite line source (FLS) solution for the simulation of geothermal systems. The FLS solution requires the evaluation of an integral involving a product of the error function which cannot be solved analytically. An approximate solution of the FLS solution can be obtained using an approximation of the Gaussian Q-function in the form of a weighted sum of exponentials. The new approximation of the FLS solution is shown to be adequately accurate for simulations. Substantial gains in computational speed are obtained, in one case decreasing the computational time for 1000 evaluations of the FLS solution from 3.52 s down to 20 milliseconds.
Mots clés
Boreholes, Geothermal, Finite line source, Thermal response factor, Ground heat exchangers
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2100 Génie mécanique > 2100 Génie mécanique 2100 Génie mécanique > 2107 Modélisation, simulation et méthodes des éléments finis |
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| Département: | Département de génie mécanique |
| URL de PolyPublie: | https://publications.polymtl.ca/10255/ |
| Titre de la revue: | International Communications in Heat and Mass Transfer (vol. 127) |
| Maison d'édition: | Elsevier |
| DOI: | 10.1016/j.icheatmasstransfer.2021.105496 |
| URL officielle: | https://doi.org/10.1016/j.icheatmasstransfer.2021.... |
| Date du dépôt: | 06 avr. 2022 16:52 |
| Dernière modification: | 09 avr. 2024 20:23 |
| Citer en APA 7: | Cimmino, M. (2021). An approximation of the finite line source solution to model thermal interactions between geothermal boreholes. International Communications in Heat and Mass Transfer, 127, 5 pages. https://doi.org/10.1016/j.icheatmasstransfer.2021.105496 |
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