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The finite mass mesh method

Bubeck, T. ; Hiptmair, R. ; Yserentant, H.

In: Computing and Visualization in Science, 2005, vol. 8, no. 2, p. 49-68

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    Titre
    • The finite mass mesh method
    Auteur
    • Bubeck, T.. SFB 382, Universität Tübingen, D-72076, Tübingen, Germany
    • Hiptmair, R.. Seminar for Applied Mathematics, ETH Zürich, CH-8092, Zürich, Switzerland
    • Yserentant, H.. Institut für Mathematik, TU Berlin, D-10623, Berlin, Germany
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Computing and Visualization in Science, 2005, vol. 8, no. 2, p. 49-68. Springer-Verlag
    Autre version électronique
    Classification
    • Technologie, Sciences de l'ingénieur
    Identifiant OAI-PMH
    • oai:doc.rero.ch:310638
    Summary
    The finite mass method is a purely Lagrangian scheme for the spatial discretisation of the macroscopic phenomenological laws that govern the flow of compressible fluids. In this article we investigate how to take into account long range gravitational forces in the framework of the finite mass method. This is achieved by incorporating an extra discrete potential energy of the gravitational field into the Lagrangian that underlies the finite mass method. The discretisation of the potential is done in an Eulerian fashion and employs an adaptive tensor product mesh fixed in space, hence the name finite mass mesh method for the new scheme. The transfer of information between the mass packets of the finite mass method and the discrete potential equation relies on numerical quadrature, for which different strategies will be proposed. The performance of the extended finite mass method for the simulation of two-dimensional gas pillars under self-gravity will be reported