@article{fdi:010070440,
  title = {{A}nalyzing natural convection in porous enclosure with polynomial chaos expansions : effect of thermal dispersion, anisotropic permeability and heterogeneity},
  author = {{F}ajraoui, {N}. and {F}ahs, {M}. and {Y}ounes, {A}nis and {S}udret, {B}.},
  editor = {},
  language = {{ENG}},
  abstract = {n this paper, global sensitivity analysis ({GSA}) and uncertainty quantification ({UQ}) have been applied to the problem of natural convection ({NC}) in a porous square cavity. {T}his problem is widely used to provide physical insights into the processes of fluid flow and heat transfer in porous media. {I}t introduces however several parameters whose values are usually uncertain. {W}e herein explore the effect of the imperfect knowledge of the system parameters and their variability on the model quantities of interest ({Q}o{I}s) characterizing the {NC} mechanisms. {T}o this end, we use {GSA} in conjunction with the polynomial chaos expansion ({PCE}) methodology. {I}n particular, {GSA} is performed using {S}obol’ sensitivity indices. {M}oreover, the probability distributions of the {Q}o{I}s assessing the flow and heat transfer are obtained by performing {UQ} using {PCE} as a surrogate of the original computational model. {T}he results demonstrate that the temperature distribution is mainly controlled by the longitudinal thermal dispersion coefficient. {T}he variability of the average {N}usselt number is controlled by the {R}ayleigh number and transverse dispersion coefficient. {T}he velocity field is mainly sensitive to the {R}ayleigh number and permeability anisotropy ratio. {T}he heterogeneity slightly affects the heat transfer in the cavity and has a major effect on the flow patterns. {T}he methodology presented in this work allows performing in-depth analyses in order to provide relevant information for the interpretation of a {NC} problem in porous media at low computational costs.},
  keywords = {{CONVECTION} ; {TEMPERATURE} ; {DISTRIBUTION} {SPATIALE} ; {MODELE} {MATHEMATIQUE} ; {ANALYSE} {DE} {VARIANCE}},
  booktitle = {},
  journal = {{I}nternational {J}ournal of {H}eat and {M}ass {T}ransfer},
  volume = {115},
  numero = {},
  pages = {205--224},
  ISSN = {0017-9310},
  year = {2017},
  DOI = {10.1016/j.ijheatmasstransfer.2017.07.003},
  URL = {https://www.documentation.ird.fr/hor/fdi:010070440},
}