Model Adaptation Enriched with an Anisotropic Mesh Spacing for Nonlinear Equations: Application to Environmental and CFD Problems

Goal of this paper is to suitably combine a model with an anisotropic mesh adaptation for the numerical simulation of nonlinear advection-diffusion-reaction systems and incompressible flows in ecological and environmental applications.Using the reduced-basis method terminology,the proposed approach leads to a noticeable computational saving of the online phase with respect to the resolution of the reference model on nonadapted grids.The search of a suitable adapted model/mesh pair is to be meant,instead,in an offline fashion.