Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse heat conduction to model and optimise a geothermal field   The design of heat exchanger fields is a key phase to ensure the long-term
sustainability of such renewable energy systems. This task has to be
accomplished by modelling the relevant processes in the complex system made up
of different exchangers, where the heat transfer must be considered within
exchangers and outside exchangers. We propose a mathematical model for the
study of the heat conduction into the soil as consequence of the presence of
exchangers. Such a problem is formulated and solved with an analytical
approach. On the basis of such analytical solution, we propose an optimisation
procedure to compute the best position of the exchangers by minimising the
adverse effects of neighbouring devices. Some numerical experiments are used to
show the effectiveness of the proposed method also by taking into account a
reference approximation procedure of the problem based on a finite difference
method.

23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con