Close Search Advanced
Journals
Resources
About Us
Open Access

Model Adaptation Enriched with an Anisotropic Mesh Spacing for Nonlinear Equations: Application to Environmental and CFD Problems

Model Adaptation Enriched with an Anisotropic Mesh Spacing for Nonlinear Equations: Application to Environmental and CFD Problems
Preview
Add to basket

Year:    2013

Numerical Mathematics: Theory, Methods and Applications, Vol. 6 (2013), Iss. 3 : pp. 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.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/nmtma.2013.1022nm

Numerical Mathematics: Theory, Methods and Applications, Vol. 6 (2013), Iss. 3 : pp. 447–478

Published online:    2013-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    32

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

  1. Space–time adaptive hierarchical model reduction for parabolic equations

    Perotto, Simona | Zilio, Alessandro

    Advanced Modeling and Simulation in Engineering Sciences, Vol. 2 (2015), Iss. 1

    https://doi.org/10.1186/s40323-015-0046-4 [Citations: 11]
  2. Handbook of Numerical Methods for Hyperbolic Problems - Applied and Modern Issues

    Adjoint Error Estimation and Adaptivity for Hyperbolic Problems

    Houston, P.

    2017

    https://doi.org/10.1016/bs.hna.2016.10.003 [Citations: 1]

  3. Coupled Model and Grid Adaptivity in Hierarchical Reduction of Elliptic Problems

    Perotto, Simona | Veneziani, Alessandro

    Journal of Scientific Computing, Vol. 60 (2014), Iss. 3 P.505

    https://doi.org/10.1007/s10915-013-9804-y [Citations: 26]
  4. Encyclopedia of Computational Mechanics Second Edition

    Computability and Adaptivity inCFD

    Hoffman, Johan | Jansson, Johan | Jansson, Niclas | De Abreu, Rodrigo Vilela | Johnson, Claes

    2017

    https://doi.org/10.1002/9781119176817.ecm2057 [Citations: 1]