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Published in ''Computer Methods in Applied Mechanics and Engineering'', Vol. 380, 113807, 2021<br> | Published in ''Computer Methods in Applied Mechanics and Engineering'', Vol. 380, 113807, 2021<br> | ||
| − | Doi: 10.1016/j.cma.2021.113807 | + | Doi: [https://www.sciencedirect.com/science/article/abs/pii/S0045782521001432 10.1016/j.cma.2021.113807] |
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| + | ==Abstract== | ||
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| + | We present a numerical method for solving advective–diffusive–absorptive problems with high values of advection and absorption. A Lagrangian approach based on the updated version of the classical Particle Finite Element Method (PFEM) is used to calculate advection, while a Eulerian strategy based on the Finite Element Method (FEM) is adopted to compute diffusion and absorption. The Eulerian FEM procedure is based on a Finite Increment Calculus (FIC) stabilized formulation recently developed by the authors. The most relevant features of each computational approach are outlined and the coupling scheme is explained. Several problems are solved to validate the method: the evolution of a localized concentration field in two dimensions (2D), the evolution of a spherical field in 3D and three benchmark problems from the literature with high absorption. | ||
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| + | ==Preprint document== | ||
<pdf>Media:Draft_Samper_488159973_8509_main-preprint.pdf</pdf> | <pdf>Media:Draft_Samper_488159973_8509_main-preprint.pdf</pdf> | ||
Latest revision as of 12:35, 2 October 2024
Published in Computer Methods in Applied Mechanics and Engineering, Vol. 380, 113807, 2021
Doi: 10.1016/j.cma.2021.113807
Abstract
We present a numerical method for solving advective–diffusive–absorptive problems with high values of advection and absorption. A Lagrangian approach based on the updated version of the classical Particle Finite Element Method (PFEM) is used to calculate advection, while a Eulerian strategy based on the Finite Element Method (FEM) is adopted to compute diffusion and absorption. The Eulerian FEM procedure is based on a Finite Increment Calculus (FIC) stabilized formulation recently developed by the authors. The most relevant features of each computational approach are outlined and the coupling scheme is explained. Several problems are solved to validate the method: the evolution of a localized concentration field in two dimensions (2D), the evolution of a spherical field in 3D and three benchmark problems from the literature with high absorption.
Preprint document
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Published on 01/01/2021
DOI: 10.1016/j.cma.2021.113807
Licence: CC BY-NC-SA license
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