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Volume 15, Issue 1-2
Modeling and Simulation of the Atmospheric Dust Dynamic: Fractional Calculus and Cloud Computing

Luis Vázquez, M. Pilar Velasco, José Luis Vázquez-Poletti, Ignacio M. Llorente, David Usero & Salvador Jiménez

Int. J. Numer. Anal. Mod., 15 (2018), pp. 74-85.

Published online: 2018-01

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  • Abstract

The dust aerosols have an important effect on the solar radiation in the Martial atmosphere and both surface and atmospheric heating rates, which are also basic drivers of atmospheric dynamics. Aerosols cause an attenuation of the solar radiation traversing the atmosphere and this attenuation is modeled by the Lambert-Beer-Bouguer law, where the aerosol optical thickness plays an important role. Through Angstrom law, the aerosol optical thickness can be approximated and this law allows to model attenuation of the solar radiation traversing the atmosphere by a fractional diffusion equation. The analytical solution is available in the case of one space dimension. When we extend the fractional diffusion equation to the case of two or more space variables, we need large and massive computations to approach numerically the solutions. In this case a suitable strategy is to use the cloud computing to carry out the simulations. We present an introduction to cloud computing applied to the fractional diffusion equation in one dimension.

  • Keywords

Dust, solar radiation, fractional calculus, Mittag-Leffler type functions, fractional ordinary and partial differential equations, cloud computing, performance model, cost model.

  • AMS Subject Headings

26A33, 33E12, 34A08, 34K37, 35R11, 60G22, 68U01, 68M01, 68M20

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

lvazquez@fdi.ucm.es (Luis Vázquez)

mp.velasco@upm.es (M. Pilar Velasco)

jlvazquez@fdi.ucm.es (José Luis Vázquez-Poletti)

llorente@dacya.ucm.es (Ignacio M. Llorente)

umdavid@mat.ucm.es (David Usero)

s.jimenez@upm.es (Salvador Jiménez)

  • BibTex
  • RIS
  • TXT
@Article{IJNAM-15-74, author = {Vázquez , LuisVelasco , M. PilarVázquez-Poletti , José LuisLlorente , Ignacio M.Usero , David and Jiménez , Salvador}, title = {Modeling and Simulation of the Atmospheric Dust Dynamic: Fractional Calculus and Cloud Computing}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2018}, volume = {15}, number = {1-2}, pages = {74--85}, abstract = {

The dust aerosols have an important effect on the solar radiation in the Martial atmosphere and both surface and atmospheric heating rates, which are also basic drivers of atmospheric dynamics. Aerosols cause an attenuation of the solar radiation traversing the atmosphere and this attenuation is modeled by the Lambert-Beer-Bouguer law, where the aerosol optical thickness plays an important role. Through Angstrom law, the aerosol optical thickness can be approximated and this law allows to model attenuation of the solar radiation traversing the atmosphere by a fractional diffusion equation. The analytical solution is available in the case of one space dimension. When we extend the fractional diffusion equation to the case of two or more space variables, we need large and massive computations to approach numerically the solutions. In this case a suitable strategy is to use the cloud computing to carry out the simulations. We present an introduction to cloud computing applied to the fractional diffusion equation in one dimension.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/10556.html} }
TY - JOUR T1 - Modeling and Simulation of the Atmospheric Dust Dynamic: Fractional Calculus and Cloud Computing AU - Vázquez , Luis AU - Velasco , M. Pilar AU - Vázquez-Poletti , José Luis AU - Llorente , Ignacio M. AU - Usero , David AU - Jiménez , Salvador JO - International Journal of Numerical Analysis and Modeling VL - 1-2 SP - 74 EP - 85 PY - 2018 DA - 2018/01 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/10556.html KW - Dust, solar radiation, fractional calculus, Mittag-Leffler type functions, fractional ordinary and partial differential equations, cloud computing, performance model, cost model. AB -

The dust aerosols have an important effect on the solar radiation in the Martial atmosphere and both surface and atmospheric heating rates, which are also basic drivers of atmospheric dynamics. Aerosols cause an attenuation of the solar radiation traversing the atmosphere and this attenuation is modeled by the Lambert-Beer-Bouguer law, where the aerosol optical thickness plays an important role. Through Angstrom law, the aerosol optical thickness can be approximated and this law allows to model attenuation of the solar radiation traversing the atmosphere by a fractional diffusion equation. The analytical solution is available in the case of one space dimension. When we extend the fractional diffusion equation to the case of two or more space variables, we need large and massive computations to approach numerically the solutions. In this case a suitable strategy is to use the cloud computing to carry out the simulations. We present an introduction to cloud computing applied to the fractional diffusion equation in one dimension.

Vázquez , LuisVelasco , M. PilarVázquez-Poletti , José LuisLlorente , Ignacio M.Usero , David and Jiménez , Salvador. (2018). Modeling and Simulation of the Atmospheric Dust Dynamic: Fractional Calculus and Cloud Computing. International Journal of Numerical Analysis and Modeling. 15 (1-2). 74-85. doi:
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