Adaptive Numerical Strategies for the Darcy-Forchheimer

Model in Porous Media

Dra. María González Taboada 
Departamento de Matemáticas & CITIC, Universidade da Coruña

Resumen:

Fluid flow through porous media plays a central role in a wide range of scientific and engineering applications. The Darcy-Forchheimer model provides an accurate description of flow regimes where inertial effects become significant, typically at moderate to high velocities. In this talk, I will present two adaptive numerical strategies based on the model’s primal-mixed and dual-mixed formulations. Both approaches rely on reliable a posteriori error estimators to guide mesh refinement and improve computational efficiency. I will show numerical experiments to assess the performance of the proposed methods. In addition, I will present a validation against data from a real-world wood-drying application, highlighting its practical relevance and predictive capability.