@article{fdi:010068684, title = {{A} new benchmark reference solution for double-diffusive convection in a heterogeneous porous medium}, author = {{S}hao, {Q}. and {F}ahs, {M}. and {Y}ounes, {A}nis and {M}akradi, {A}. and {M}ara, {T}.}, editor = {}, language = {{ENG}}, abstract = {{A} new benchmark with a high accurate solution is proposed for the verification of numerical codes dealing with double-diffusive convection in a heterogeneous porous medium. {T}he new benchmark is inspired by the popular problem of square porous cavity by assuming a stratified porous medium. {A} high accurate steady state solution is developed using the {F}ourier-{G}alerkin method. {T}o this aim, the unknowns are expanded in double infinite {F}ourier series. {T}he accuracy of the developed solution is assessed in terms of the truncation orders of the {F}ourier series. {C}omparison against finite element solutions highlights the worthiness of the proposed benchmark for numerical code validation.}, keywords = {}, booktitle = {}, journal = {{N}umerical {H}eat {T}ransfer {P}art {B} : {F}undamentals}, volume = {70}, numero = {5}, pages = {373--392}, ISSN = {1040-7790}, year = {2016}, DOI = {10.1080/10407790.2016.1215718}, URL = {https://www.documentation.ird.fr/hor/fdi:010068684}, }