Shao Q., Fahs M., Younes Anis, Makradi A., Mara T. (2016). A new benchmark reference solution for double-diffusive convection in a heterogeneous porous medium. Numerical Heat Transfer Part B : Fundamentals, 70 (5), p. 373-392. ISSN 1040-7790.
Titre du document
A new benchmark reference solution for double-diffusive convection in a heterogeneous porous medium
Shao Q., Fahs M., Younes Anis, Makradi A., Mara T.
Source
Numerical Heat Transfer Part B : Fundamentals, 2016,
70 (5), p. 373-392 ISSN 1040-7790
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. The 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 Fourier-Galerkin method. To this aim, the unknowns are expanded in double infinite Fourier series. The accuracy of the developed solution is assessed in terms of the truncation orders of the Fourier series. Comparison against finite element solutions highlights the worthiness of the proposed benchmark for numerical code validation.
Plan de classement
Sciences fondamentales / Techniques d'analyse et de recherche [020]
