Lagrangian scheme for scalar advection-diffusion - Application to pollutant transport

Benoît Trouette (1) , Georges Halim Atallah (1, 2) , Stéphane Vincent (1)

1 MSME - Laboratoire Modélisation et Simulation Multi-Echelle
2 INRS ( Vandoeuvre lès Nancy) - Institut national de recherche et de sécurité (Vandoeuvre lès Nancy)

A Lagrangian scheme devoted to the approximation of advection term in advection-diffusion equation (ADE) is proposed to deal with large values of Péclet number. Advection and diffusion of circular concentration in a vortex flow are considered for validation purpose. The Lagrangian scheme reduces the numerical diffusion to almost computer error and provides better results than other Eulerian classical schemes of the literature. The injection of a pollutant in a cavity is finally illustrated.

Mots clés: Lagrangian scheme; advection-diffusion; large Pe number

Domaines: Mécanique des fluides [physics.class-ph]; Thermique [physics.class-ph]

Benoît Trouette, Georges Halim Atallah, Stéphane Vincent. Lagrangian scheme for scalar advection-diffusion - Application to pollutant transport. Turbulence and Interactions, 2021. ⟨hal-03129042⟩