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Simulations of hydrodynamic flow in gas targets irradiated by intense ion beams

Published online by Cambridge University Press:  09 March 2009

V. Schneider
Affiliation:
Institut für Theoretische Physik der Universität Frankfurt, Robert–Mayer–Str. 8–10, 6000 Frankfurt/Main
J. Maruhn
Affiliation:
Institut für Theoretische Physik der Universität Frankfurt, Robert–Mayer–Str. 8–10, 6000 Frankfurt/Main

Abstract

A two-dimensional hydrodynamic code is discussed. It includes the treatment of energy deposition by heavy ions and the calculation of transport coefficients. Loss terms due to volume radiation in the emission limit and a realistic equation of state (SESAME tables or the equation of state of an ionized gas including the solution of the Saha equations to determine the degree of ionization) are considered.

Numerical simulations are performed to study the hydrodynamic flow in cylindrical tubes filled with the noble gases Argon and Xenon respectively. Target and beam parameters are chosen in close analogy to the GSI-RFQ beam-target experiments.

The conditions for the formation of a shock wave at the interface between matter heated by the ion beam and cold matter are investigated. It turns out that, in addition to ionization effects, shock heating has a strong influence on the maximum target temperature. Depending on the temperatures to be reached with a given deposition power, either expansion or radiation cooling could be the dominant cooling mechanism. As a result we can conclude that hydrodynamic motion produces a lot of structure that should be observable in the GSI experiments.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1989

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References

Amsden, A. A. & Hirt, C. 1973 LASL Report LA-5100.Google Scholar
Arnold, R. C. & Meyer-Ter-Vehn, J. 1987 Rep. Prog. Phys. 50, 559.CrossRefGoogle Scholar
Arnold, R. C. & Meyer-Ter-Vehn, J. 1988 Z. Phys. D 9, 65.CrossRefGoogle Scholar
Betz, H. D. 1972 Rev. Mod. Phys. 44, 465.CrossRefGoogle Scholar
Biersack, J. P. & Geissel, H. Computer code to calculate stopping powers and ion ranges according to the Ziegler formula.Google Scholar
Brueckner, K. A. & Jorna, S. 1974 Rev. Mod. Phys. 46, 325.CrossRefGoogle Scholar
Cloutman, L. D. et al. 1982 LASL Report LA-9294-MS.Google Scholar
Dresvin, S. V. 1977 Physics and Technology of Low-Temperature Plasmas, Iowa State Univ. Press.Google Scholar
Duderstadt, J. J. & Moses, G. A. 1982 Inertial Confinement Fusion, J. Wiley & Sons, New York.Google Scholar
Griem, H. R. 1962 Phys. Rev. 128, 997.CrossRefGoogle Scholar
Jacoby, J. et al. 1987 Report GSI-87–15, 9.Google Scholar
Jacoby, J. et al. 1988 Proc. of the Int. Symp. on Heavy Ion Inertial Fusion, GSI-Darmstadt,to be published in Nucl. Sci. Inst. & Meth.Google Scholar
Jacoby, J. to be published.Google Scholar
LANL Equation-of-State and Opacity Group 1983 LALP-83–4.Google Scholar
Linhard, J., Scharff, M. & Schiott, H. E. 1963 K. Dan. Vidensky. Selsk. Mat.-Fys. Medd. 33(14).Google Scholar
Mehlhorn, T. A. 1981 J. Appl. Phys. 52, 6522.CrossRefGoogle Scholar
Meyer-Ter-Vehn, J. & Metzler, N. 1981 Report MPQ48.Google Scholar
Schneider, V., Rentzsch, T. & Maruhn, J. 1988 Report GSI-88–10.Google Scholar
Schneider, V. & Maruhn, J. 1988 Proc. of the Int. Symp. on Heavy Ion Inertial Fusion, GSI-Darmstadt,to be published in Nucl. Sci. Inst. & Meth.Google Scholar
Spitzer, L. & Härm, R. 1953 Phys. Rev. 89, 977.CrossRefGoogle Scholar
Zel'dovich, Y. B. & Raizer, Y. P. 1966 Physics of Shock Waves and High Temperature Hydrodynamic Phenomena, Academic Press, New York.Google Scholar
Ziegler, J. F. 1980 Stopping Cross-Sections for Energetic Ions in all Elements, Pergamon, New York.CrossRefGoogle Scholar