Meshless Methods for Conservation Laws

D. Hietel, M. Junk, J. Kuhnert and S. Tiwari
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D. Hietel: Fraunhofer-Institut für Techno-und Wirtschaftsmathematik
M. Junk: Universität Konstanz, Fachbereich Mathematik und Statistik
J. Kuhnert: Fraunhofer-Institut für Techno-und Wirtschaftsmathematik
S. Tiwari: Fraunhofer-Institut für Techno-und Wirtschaftsmathematik

A chapter in Analysis and Numerics for Conservation Laws, 2005, pp 339-362 from Springer

Abstract: Summary 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.

Keywords: Finite Volume; Smooth Particle Hydrodynamic; Meshless Method; Move Little Square; Meshfree Method (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27907-5_15

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DOI: 10.1007/3-540-27907-5_15

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