A Mixed Eulerian-Lagrangian scheme for scalar transport

Autor: Stéphane P. Vincent, Georges Halim Atallah, Benoît Trouette
Přispěvatelé: Laboratoire Modélisation et Simulation Multi-Echelle (MSME), Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12)-Centre National de la Recherche Scientifique (CNRS)-Université Gustave Eiffel, Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12)-Centre National de la Recherche Scientifique (CNRS)-Université Gustave Eiffel (UNIV GUSTAVE EIFFEL)
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Discretization
Scalar (mathematics)
Computational Mechanics
02 engineering and technology
Thermal diffusivity
01 natural sciences
010305 fluids & plasmas
Physics::Fluid Dynamics
symbols.namesake
0203 mechanical engineering
Mixed Eulerian-Lagrangian scheme
0103 physical sciences
Applied mathematics
[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]
ComputingMilieux_MISCELLANEOUS
Physics::Atmospheric and Oceanic Physics
Advection-diffusion
Mathematics
[PHYS.PHYS.PHYS-AO-PH]Physics [physics]/Physics [physics]/Atmospheric and Oceanic Physics [physics.ao-ph]
Natural convection
[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Mechanics of the fluids [physics.class-ph]
Advection
Mechanical Engineering
Incompressible flow
Eulerian path
Numerical diffusion
Vortex
020303 mechanical engineering & transports
symbols
[PHYS.MECA.THER]Physics [physics]/Mechanics [physics]/Thermics [physics.class-ph]
Finite volume
Scalar transport
Zdroj: Acta Mechanica
Acta Mechanica, Springer Verlag, 2020, 231 (9), pp.3525-3549. ⟨10.1007/s00707-020-02727-2⟩
Acta Mechanica, Springer Verlag, 2020, https://link.springer.com/article/10.1007/s00707-020-02727-2
Acta Mechanica, Springer Verlag, In press
ISSN: 0001-5970
1619-6937
DOI: 10.1007/s00707-020-02727-2⟩
Popis: International audience; The tracking of pollutants in gas and liquid is a major problem to address in atmospheric environment, air quality characterization, and industrial material processes. A Lagrangian scheme devoted to the approximation of the advection term in an advection–diffusion equation is proposed to deal with small diffusivity values or large Péclet numbers. The Lagrangian scheme is used in practice as an Eulerian method discretized on Lagrangian marker points. Advection and diffusion of a circular concentration spot in a vortex flow are considered for validation purpose. The resulting mixed Eulerian–Lagrangian scheme reduces the numerical diffusion to almost computer error and provides better results than other Eulerian classical schemes of the literature. The scheme is finally illustrated in a natural convection situation.
Databáze: OpenAIRE
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