Denys DUTYKH's Blog of an applied mathematician

Recent building physics preprints

Recently we submitted a couple of manuscripts, which report on our progress in the development of new numerical approaches for future building simulation’ tools.

The first preprint is basically the generalization of the Dufort-Frankel method applied earlier to scalar nonlinear models. This time we go to coupled nonlinear heat and moisture transfer. Moreover, we apply our algorithms to realistic configurations of two adjacent rooms together with air temperature inside. So, these results are described in this preprint together with the advantages of using explicit schemes to avoid synchronisation problems and large coupled nonlinear systems:

The second preprint is rather a continuation of our previous investigation on the optimal experimental design. This time we consider more general models including also some advection effects of moisture and we solve an inverse problem to estimate material properties. The experimental part of this work was brilliantly performed by Thomas Busser:

That’s all for the moment. More preprints are coming in the nearest future.