AMR applied to non-linear Elastodynamics

Falle, S. A. E. G.

doi:10.1007/3-540-27039-6_16

S. A. E. G. Falle⁸

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 41))

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Summary

We describe an AMR scheme for non-linear elastodynamics in Lagrangean coordinates. The scheme uses a linear Riemann solver and computes the deformation gradient from the displacements in order to ensure that it is consistent. Solid bodies with stress free boundaries are modeled by embedding them in a very weak material with a smooth transition in material properties at the boundary. A full approximation multigrid is used to compute states in dynamical equilibrium.

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Department of Applied Mathematics, University of Leeds, Leeds, LS2 9JT, UK
S. A. E. G. Falle

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S. A. E. G. Falle
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ASCI Flash Center Department of Astronomy and Astrophysics, University of Chicago, 5640 S. Ellis Avenue, Chicago, IL, 60637, USA
Tomasz Plewa , Timur Linde & V. Gregory Weirs , &

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Falle, S.A.E.G. (2005). AMR applied to non-linear Elastodynamics. In: Plewa, T., Linde, T., Gregory Weirs, V. (eds) Adaptive Mesh Refinement - Theory and Applications. Lecture Notes in Computational Science and Engineering, vol 41. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27039-6_16

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DOI: https://doi.org/10.1007/3-540-27039-6_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-21147-1
Online ISBN: 978-3-540-27039-3
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