A theoretical model for realistic local climates. (arXiv:1902.05598v1 [physics.ao-ph])
<a href="http://arxiv.org/find/physics/1/au:+Bona_G/0/1/0/all/0/1">Gabriele Di Bona</a>, <a href="http://arxiv.org/find/physics/1/au:+Giacobbe_A/0/1/0/all/0/1">Andrea Giacobbe</a>

We address the question of writing a model that —considering the
doubly-periodic forcing induced by solar radiation and the laws of irradiance
and conduction— reproduces realistic annual and daily modulations of
temperatures on the surface of a small region on Earth. The interest in such
exercise on theoretical and numeric integration is twofold: the application of
this model can give realistic projections of local climate evolution on Earth
or on a chosen exoplanet; the creation of such model can shed some light on the
effective exchanges of energy among the many actors of this system (atmosphere,
water, soil,…). The presence of at least two different thermal reservoirs has
as evident consequence the well known phenomenon of lag of seasons, and the
less discussed lag of noons (delay in daily temperatures evolution with respect
to daily solar radiation).

In this article, after describing the motivating phenomena, we develop a
physical model, we apply it to many types of climatic zones on Earth, and we
compare the results with real temperature data. We finally make some
theoretical application to orbits with non zero eccentricity, more in line with
actual extra-solar planetary systems.

We address the question of writing a model that —considering the
doubly-periodic forcing induced by solar radiation and the laws of irradiance
and conduction— reproduces realistic annual and daily modulations of
temperatures on the surface of a small region on Earth. The interest in such
exercise on theoretical and numeric integration is twofold: the application of
this model can give realistic projections of local climate evolution on Earth
or on a chosen exoplanet; the creation of such model can shed some light on the
effective exchanges of energy among the many actors of this system (atmosphere,
water, soil,…). The presence of at least two different thermal reservoirs has
as evident consequence the well known phenomenon of lag of seasons, and the
less discussed lag of noons (delay in daily temperatures evolution with respect
to daily solar radiation).

In this article, after describing the motivating phenomena, we develop a
physical model, we apply it to many types of climatic zones on Earth, and we
compare the results with real temperature data. We finally make some
theoretical application to orbits with non zero eccentricity, more in line with
actual extra-solar planetary systems.

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