INTRUSION 2023: numerIcal aNalysis, porous media and waTer ResoUrceS: a fruItful cOntamiNation

Reliable models for forecasting and managing water resources need to be coupled with ecology, soil science, weather, and other models. This asks for accurate and robust numerical methods for dealing with with multiphysics coupling, interfaces, stochastic terms, complex geometries, non-linearities, non-local and memory effects. To this purpose, this special issue gathers scientific advancements at the interface between computational mechanics, numerical analysis, geosciences and hydrology, focusing on novel mathematical modeling approaches and numerical method. This includes, for instance, efficient multiphysics coupling, uncertainty quantification, nonlocal models and methods, control techniques, polytopal element methods. We encourage the presentations of applications related to water resources management, geomechanics, contaminant and multiphase flow, with the idea of fostering interconnections between mathematical and numerical novelties and hydrological and environmental model applications.

Keywords:

• Numerical methods for porous media applications

• Multiphysics coupling, poromechanics, multiphase flows

• Nonlocal models and methods

• Control techniques

• Polytopal element methods

• Uncertainty quantification