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Fluid-Structure Interactions in Discrete Mechanics Read chapter Read first chapter

2021 | OriginalPaper | Chapter

Lagrangian Scheme for Scalar Advection-Diffusion. Application to Pollutant Transport

Authors : Benoît Trouette, Georges Halim Atallah, Stéphane Vincent

Published in: Turbulence and Interactions

Publisher: Springer International Publishing

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Abstract

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.

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Nguyen, K., Dabdub, D.: Two-level time-marching scheme using splines for solving the advection equation. Atmos. Environ. 35, 1627–1637 (2001)CrossRef
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Vincent, S., Balmigère, G., Caltagirone, J.-P., Meillot, E.: Eulerian-Lagrangian multiscale methods for solving scalar equations - application to incompressible two-phase flows. J. Comput. Phys. 229, 73–106 (2010)MathSciNetCrossRef
Metadata
Title
Lagrangian Scheme for Scalar Advection-Diffusion. Application to Pollutant Transport
Authors
Benoît Trouette
Georges Halim Atallah
Stéphane Vincent
Copyright Year
2021
Book
Turbulence and Interactions

Print ISBN: 978-3-030-65819-9

Electronic ISBN: 978-3-030-65820-5

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-3-030-65820-5_23

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