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Meshless Methods for Conservation Laws

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2005

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Hietel, Dietmar
Kuhnert, Jörg
Tiwari, Sudarshan

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http://nbn-resolving.de/urn:nbn:de:bsz:352-254024
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https://doi.org/10.1007/3-540-27907-5_15
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WARNECKE, Gerald, ed.. Analysis and Numerics for Conservation Laws. Springer Berlin Heidelberg, 2005, pp. 339-362. ISBN 978-3-540-24834-7. Available under: doi: 10.1007/3-540-27907-5_15

Zusammenfassung

In this article, two meshfree methods for the numerical solution of conservation laws are considered. The Finite Volume Particle Method (FVPM) generalizes the Finite Volume approach and the Finite Pointset Method (FPM) is a Finite Difference scheme which can work on unstructured and moving point clouds. Details of the derivation and numerical examples are presented for the case of incompressible, viscous, two-phase flow. In the case of FVPM, our main focus lies on the derivation of stability estimates.

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510 Mathematik

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ISO 690HIETEL, Dietmar, Michael JUNK, Jörg KUHNERT, Sudarshan TIWARI, 2005. Meshless Methods for Conservation Laws. In: WARNECKE, Gerald, ed.. Analysis and Numerics for Conservation Laws. Springer Berlin Heidelberg, 2005, pp. 339-362. ISBN 978-3-540-24834-7. Available under: doi: 10.1007/3-540-27907-5_15
BibTex
@incollection{Hietel2005Meshl-25402,
  year={2005},
  doi={10.1007/3-540-27907-5_15},
  title={Meshless Methods for Conservation Laws},
  isbn={978-3-540-24834-7},
  publisher={Springer Berlin Heidelberg},
  booktitle={Analysis and Numerics for Conservation Laws},
  pages={339--362},
  editor={Warnecke, Gerald},
  author={Hietel, Dietmar and Junk, Michael and Kuhnert, Jörg and Tiwari, Sudarshan}
}
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