Preface

  • Special Issue from the workshop New Trends in Model Coupling, Theory, Nu- merics and Applications (NTMC’09), Paris, September 2 − 4 2009.
    This special issue comprises selected papers from the workshop New Trends in Model Coupling, Theory, Numerics and Applications (NTMC'09) which took place in Paris, September 2 - 4, 2009. The research of optimal technological solutions in a large amount of industrial systems requires to perform numerical simulations of complex phenomena which are often characterized by the coupling of models related to various space and/or time scales. Thus, the so-called multiscale modelling has been a thriving scientific activity which connects applied mathematics and other disciplines such as physics, chemistry, biology or even social sciences. To illustrate the variety of fields concerned by the natural occurrence of model coupling we may quote:
    • meteorology where it is required to take into account several turbulence scales or the interaction between oceans and atmosphere, but also regional models in a global description,
    • solid mechanics where a thorough understanding of complex phenomena such as propagation of cracks needs to couple various models from the atomistic level to the macroscopic level;
    • plasma physics for fusion energy for instance where dense plasmas and collisionless plasma coexist;
    • multiphase fluid dynamics when several types of flow corresponding to several types of models are present simultaneously in complex circuits;
    • social behaviour analysis with interaction between individual actions and collective behaviour.

      For more information please click the “Full Text” above.

    Citation: Frédéric Coquel, Edwige Godlewski, Jean-Marc Hérard, Jacques Segré. Preface[J]. Networks and Heterogeneous Media, 2010, 5(3): i-ii. doi: 10.3934/nhm.2010.5.3i

    Related Papers:

    [1] Frédéric Coquel, Edwige Godlewski, Jean-Marc Hérard, Jacques Segré . Preface. Networks and Heterogeneous Media, 2010, 5(3): i-ii. doi: 10.3934/nhm.2010.5.3i
    [2] Dirk Helbing, Jürgen Jost, Alessandro Vespignani . Preface. Networks and Heterogeneous Media, 2008, 3(2): i-ii. doi: 10.3934/nhm.2008.3.2i
    [3] Rinaldo M. Colombo, Benedetto Piccoli . Preface. Networks and Heterogeneous Media, 2011, 6(3): i-iii. doi: 10.3934/nhm.2011.6.3i
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    [8] Leonid Berlyand, V. V. Zhikov . Preface. Networks and Heterogeneous Media, 2008, 3(3): i-ii. doi: 10.3934/nhm.2008.3.3i
    [9] Georges Bastin, Alexandre M. Bayen, Ciro D'Apice, Xavier Litrico, Benedetto Piccoli . Preface. Networks and Heterogeneous Media, 2009, 4(2): i-v. doi: 10.3934/nhm.2009.4.2i
    [10] Adrian Muntean, Toyohiko Aiki . Preface to ``The Mathematics of Concrete". Networks and Heterogeneous Media, 2014, 9(4): i-ii. doi: 10.3934/nhm.2014.9.4i
  • Special Issue from the workshop New Trends in Model Coupling, Theory, Nu- merics and Applications (NTMC’09), Paris, September 2 − 4 2009.
    This special issue comprises selected papers from the workshop New Trends in Model Coupling, Theory, Numerics and Applications (NTMC'09) which took place in Paris, September 2 - 4, 2009. The research of optimal technological solutions in a large amount of industrial systems requires to perform numerical simulations of complex phenomena which are often characterized by the coupling of models related to various space and/or time scales. Thus, the so-called multiscale modelling has been a thriving scientific activity which connects applied mathematics and other disciplines such as physics, chemistry, biology or even social sciences. To illustrate the variety of fields concerned by the natural occurrence of model coupling we may quote:
    • meteorology where it is required to take into account several turbulence scales or the interaction between oceans and atmosphere, but also regional models in a global description,
    • solid mechanics where a thorough understanding of complex phenomena such as propagation of cracks needs to couple various models from the atomistic level to the macroscopic level;
    • plasma physics for fusion energy for instance where dense plasmas and collisionless plasma coexist;
    • multiphase fluid dynamics when several types of flow corresponding to several types of models are present simultaneously in complex circuits;
    • social behaviour analysis with interaction between individual actions and collective behaviour.

      For more information please click the “Full Text” above.


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  • © 2010 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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