The overall efficiency of a regenerative chamber for glass furnace mostly rely on the thermo-fluid dynamics of air and waste gas alternatively flowing through stacks of refractory bricks (checkers) that realize the heat recovery. A numerical approach could effectively support the design strategies in order to achieve a deeper understanding of the current technology and hopefully suggest new perspectives of improvement. A CFD approach, through Ansys-CFD commercial code, to the regenerator will be proposed here. The need for a porous domain instead of the real geometry of the checkers, and the set up of such a model, will be discussed comprehensively. Results confirm that the experimental data can be properly fitted by the calculations and in the last section of the article a few examples of applications will be presented to give the idea of how CFD could improve the overall efficiency of the chamber.