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Published in:
2012 | OriginalPaper | Chapter
Heterogeneous Mathematical Models in Fluid Dynamics and Associated Solution Algorithms
Authors : Marco Discacciati, Paola Gervasio, Alfio Quarteroni
Published in: Multiscale and Adaptivity: Modeling, Numerics and Applications
Publisher: Springer Berlin Heidelberg
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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.