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Volume 6, Issue 3
Model Adaptation Enriched with an Anisotropic Mesh Spacing for Nonlinear Equations: Application to Environmental and CFD Problems

Stefano Micheletti, Simona Perotto & Filippo David

DOI: 10.4208/nmtma.2013.1022nm

Numer. Math. Theor. Meth. Appl., 6 (2013), pp. 447-478.

Published online: 2013-06

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  • Abstract

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.

  • Keywords

Model adaptation, anisotropic mesh adaptation, goal-oriented analysis, advection-diffusion-reaction systems, Navier-Stokes equations, finite elements.

  • AMS Subject Headings

65N15, 65N50, 65J15, 35J60

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{NMTMA-6-447, author = {Stefano Micheletti, Simona Perotto and Filippo David}, title = {Model Adaptation Enriched with an Anisotropic Mesh Spacing for Nonlinear Equations: Application to Environmental and CFD Problems}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2013}, volume = {6}, number = {3}, pages = {447--478}, abstract = {

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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2013.1022nm}, url = {http://global-sci.org/intro/article_detail/nmtma/5913.html} }
TY - JOUR T1 - Model Adaptation Enriched with an Anisotropic Mesh Spacing for Nonlinear Equations: Application to Environmental and CFD Problems AU - Stefano Micheletti, Simona Perotto & Filippo David JO - Numerical Mathematics: Theory, Methods and Applications VL - 3 SP - 447 EP - 478 PY - 2013 DA - 2013/06 SN - 6 DO - http://doi.org/10.4208/nmtma.2013.1022nm UR - https://global-sci.org/intro/article_detail/nmtma/5913.html KW - Model adaptation, anisotropic mesh adaptation, goal-oriented analysis, advection-diffusion-reaction systems, Navier-Stokes equations, finite elements. AB -

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.

Stefano Micheletti, Simona Perotto and Filippo David. (2013). Model Adaptation Enriched with an Anisotropic Mesh Spacing for Nonlinear Equations: Application to Environmental and CFD Problems. Numerical Mathematics: Theory, Methods and Applications. 6 (3). 447-478. doi:10.4208/nmtma.2013.1022nm
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