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Comparisons of experimental observation of heat and moisture transfer throughporous building materials with numerical results have been presented innumerous studies reported in literature. However, some discrepancies have beenobserved, highlighting underestimation of sorption process and overestimationof desorption process. Some studies intend to explain the discrepancies byanalysing the importance of hysteresis effects as well as carrying outsensitivity analyses on the input parameters as convective transfercoefficients. This article intends to investigate the accuracy and efficiencyof the coupled solution by adding advective transfer of both heat and moisturein the physical model. In addition, the efficient Scharfetter and Gummelnumerical scheme is proposed to solve the system of advection-diffusionequations, which has the advantages of being well-balanced and asymptoticallypreserving. Moreover, the scheme is particularly efficient in terms of accuracyand reduction of computational time when using large spatial discretisationparameters. Several linear and non-linear cases are studied to validate themethod and highlight its specific features. At the end, an experimentalbenchmark from the literature is considered. The numerical results are comparedto the experimental data for a pure diffusive model and also for the proposedmodel. The latter presents better agreement with the experimental data. Theinfluence of the hysteresis effects on the moisture capacity is also studied,by adding a third differential equation.

On the solution of coupled heat and moisture transport in porous material