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Heterogeneous mathematical models in fluid dynamics and associated solution algorithms

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posted on 15.09.2015, 10:01 authored by Marco DiscacciatiMarco Discacciati, Paola Gervasio, Alfio Quarteroni
Mathematical models of complex physical problems can be based on heterogeneous differential equations, i.e. on boundary-value problems of different kind in different subregions of the computational domain. In this presentation we will introduce a few representative examples, we will illustrate the way the coupling conditions between the different models can be devised, then we will address several solution algorithms and discuss their properties of convergence as well as their robustness with respect to the variation of the physical parameters that characterize the submodels

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Multiscale and Adaptivity: Modeling, Numerics and Applications Lecture Notes in Mathematics

Volume

2040

Pages

57 - 123

Citation

DISCACCIATI, M., GERVASIO, P. and QUARTERONI, A., 2012. Heterogeneous mathematical models in fluid dynamics and associated solution algorithms. IN: Bertoluzza, S. ... et al (eds). Multiscale and Adaptivity: Modeling, Numerics and Applications. Berlin: Springer Berlin Heidelberg, pp.57-123.

Publisher

© Springer-Verlag Berlin Heidelberg

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NA (Not Applicable or Unknown)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2012

Notes

This paper is closed access.

ISBN

9783642240782

Book series

Lecture Notes in Mathematics;2040

Language

en

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