An efficient numerical method for a long-term simulation of heat and mass transfer: the case of an insulated rammed earth wall

Madina Abdykarim (1) , Julien Berger (1) , Denys Dutykh (2, 3, 4) , Amen Agbossou (1)

1 LOCIE - LabOratoire proCédés énergIe bâtimEnt
2 LAMA - Laboratoire de Mathématiques
3 INSMI-CNRS - Institut National des Sciences Mathématiques et de leurs Interactions - CNRS Mathématiques
4 USMB [Université de Savoie] [Université de Chambéry] - Université Savoie Mont Blanc

Innovative numerical scheme studied in this work enables to overcome two main limitations of Building Performance Simulation (BPS) programs as high computational cost and the choice of a very fine numerical grid. The method, called Super-Time-Stepping (STS), is novel to the state-of-the-art of building simulations, but has already proved to be sufficiently efficient in recent studies from anisotropic heat conduction in astrophysics (Meyer et al. 2014). The given research is focused on employment of this adopted numerical method to model drying of a rammed earth wall with an additional insulation layer. The results show considerable advantage of the STS method compared to standard Euler explicit scheme. It is possible to choose at least 100 times bigger time-steps to maintain high accuracy and to cut computational cost by more than 92% in the same time.

Mots clés: super time stepping; heat and mass transfer

Domaines: Thermique [physics.class-ph]; Physique Numérique [physics.comp-ph]; Analyse numérique [math.NA]; Analyse numérique [cs.NA]

Madina Abdykarim, Julien Berger, Denys Dutykh, Amen Agbossou. An efficient numerical method for a long-term simulation of heat and mass transfer: the case of an insulated rammed earth wall. Proceedings of the 16th IBPSA Conference, IBPSA, Sep 2019, Rome, Italy. pp.1444-1451, ⟨10.26868/25222708.2019.210762⟩. ⟨hal-02288858⟩