On the efficiency of AMR in NIRVANA3

Ziegler, U.

doi:10.1007/3-540-27039-6_29

U. Ziegler⁸

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

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Summary

The efficiency of the grid-adaptive magnetohydrodynamics code NIRVANA3 is studied. For that two three-dimensional benchmark problems are proposed: a hydrodynamical implosion problem possessing spherical symmetry and a shock-cloud collision problem in a magnetic medium. An efficiency parameter is defined which contains both the obtained speedup factor and an error estimate.

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References

J.U. Brackbill, D.C. Barnes, J. Comput. Phys. 35, 426 (1980).
Article MathSciNet Google Scholar
D.S. Balsara, D.S. Spicer, J. Comput. Phys. 149, 270 (1999).
Article MathSciNet Google Scholar
M. Berger, P. Collela, J. Comput. Phys. 82, 64 (1989).
Article Google Scholar
M. Berger, R.J. LeVeque, SIAM J. Numer. Anal. 35, 2298 (1998).
Article MathSciNet Google Scholar
J. Bell, M. Berger, J. Saltzmann, M. Welcome, SIAM J. Sci. Comput. 15, 127 (1994).
Article MathSciNet Google Scholar
C.R. Evans, J.F. Hawley, Astrophys. J. 332, 659 (1988).
Article Google Scholar
H. Friedel, R. Grauer, C. Marliani, J. Comput. Phys. 134, 190 (1997).
Article Google Scholar
A. Kurganov, S. Noelle, G. Petrova, SIAM J. Sci. Comput. 23, 707 (2001).
Article MathSciNet Google Scholar
K.G. Powell, P.L. Roe, T.J. Linde, T.I. Gombosi, D.L. De Zeeuw, J. Comput. Phys. 154, 284 (1999).
Article MathSciNet Google Scholar
O. Steiner, M. Knölker, M. Schüssler, Dynamic interaction of convection with magnetic flux sheets: first results of a new MHD code, in: Solar Surface Magnetism, Kluwer, Dordrecht, eds. R.J. Rutten, C.J. Schrijver (1993).
Google Scholar
R. Walder, D. Folini, A-MAZE: A code package to compute 3D magnetic flows, 3D NLTE radiative transfer, and synthetic spectra, in: Thermal and Ionisation Aspects of Flows from Hot Stars: Observations and Theory, in: ASP Conference Series, Vol. 204, 281 (2000).
Google Scholar
U. Ziegler, J. Comput. Phys. subm.
Google Scholar

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Astrophysikalisches Institut Potsdam, D-14482, Potsdam, Germany
U. Ziegler

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U. Ziegler
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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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Ziegler, U. (2005). On the efficiency of AMR in NIRVANA3. 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_29

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DOI: https://doi.org/10.1007/3-540-27039-6_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-21147-1
Online ISBN: 978-3-540-27039-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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