Abstract
Scaling of the ignition energy threshold {Epsilon}{sub ig} with the implosion velocity v{sub im} and isentrope parameter {alpha} of imploding spherical deuterium-tritium shells is investigated by performing one-dimensional hydrodynamic simulations of the implosion and hot spot formation dynamics. We find that the a and b exponents in the power-law approximation {Epsilon}{sub ig} {proportional_to} {alpha}{sup a}v{sub im}{sup -b} depend crucially on the subset of initial configurations chosen to establish the scaling law. When we generate the initial states in the same way as in the Livermore study [W.K. Levedahl and J. D. Lindl, Nucl. Fusion 37 (1997) 165 ], we recover the same scaling, {Epsilon}{sub ig} {proportional_to} {alpha}{sup 1.7} v{sub im}{sup -5.5}. If, however, the initial states are generated by rescaling the parent configuration according to the hydrodynamic similarity laws, we obtain a different scaling, {Epsilon}{sub ig} {proportional_to} {alpha}{sup 3}v{sub im}{sup -9}, which is very close to the {alpha}v{sub im}{sup -10} dependence predicted by the simple isobaric model for assembled fuel states. The latter is more favourable that the Livermore scaling when rescaling the fusion capsules to higher implosion velocities, but requires the peak drive pressure to be increased as P {proportional_to} v{sub im}{sup 5}. (authors) 10 refs.
Johner, J;
[1]
Basko, M
[2]
- Association Euratom-CEA, CEA Cadarache, 13 - Saint-Paul-lez-Durance (France). Dept. de Recherches sur la Fusion Controlee
- Institute for Theoretical and Experimental Physics, Moscow (Russian Federation)
Citation Formats
Johner, J, and Basko, M.
Ignition energy scaling of inertial confinement fusion targets.
France: N. p.,
1998.
Web.
Johner, J, & Basko, M.
Ignition energy scaling of inertial confinement fusion targets.
France.
Johner, J, and Basko, M.
1998.
"Ignition energy scaling of inertial confinement fusion targets."
France.
@misc{etde_10147083,
title = {Ignition energy scaling of inertial confinement fusion targets}
author = {Johner, J, and Basko, M}
abstractNote = {Scaling of the ignition energy threshold {Epsilon}{sub ig} with the implosion velocity v{sub im} and isentrope parameter {alpha} of imploding spherical deuterium-tritium shells is investigated by performing one-dimensional hydrodynamic simulations of the implosion and hot spot formation dynamics. We find that the a and b exponents in the power-law approximation {Epsilon}{sub ig} {proportional_to} {alpha}{sup a}v{sub im}{sup -b} depend crucially on the subset of initial configurations chosen to establish the scaling law. When we generate the initial states in the same way as in the Livermore study [W.K. Levedahl and J. D. Lindl, Nucl. Fusion 37 (1997) 165 ], we recover the same scaling, {Epsilon}{sub ig} {proportional_to} {alpha}{sup 1.7} v{sub im}{sup -5.5}. If, however, the initial states are generated by rescaling the parent configuration according to the hydrodynamic similarity laws, we obtain a different scaling, {Epsilon}{sub ig} {proportional_to} {alpha}{sup 3}v{sub im}{sup -9}, which is very close to the {alpha}v{sub im}{sup -10} dependence predicted by the simple isobaric model for assembled fuel states. The latter is more favourable that the Livermore scaling when rescaling the fusion capsules to higher implosion velocities, but requires the peak drive pressure to be increased as P {proportional_to} v{sub im}{sup 5}. (authors) 10 refs.}
place = {France}
year = {1998}
month = {Dec}
}
title = {Ignition energy scaling of inertial confinement fusion targets}
author = {Johner, J, and Basko, M}
abstractNote = {Scaling of the ignition energy threshold {Epsilon}{sub ig} with the implosion velocity v{sub im} and isentrope parameter {alpha} of imploding spherical deuterium-tritium shells is investigated by performing one-dimensional hydrodynamic simulations of the implosion and hot spot formation dynamics. We find that the a and b exponents in the power-law approximation {Epsilon}{sub ig} {proportional_to} {alpha}{sup a}v{sub im}{sup -b} depend crucially on the subset of initial configurations chosen to establish the scaling law. When we generate the initial states in the same way as in the Livermore study [W.K. Levedahl and J. D. Lindl, Nucl. Fusion 37 (1997) 165 ], we recover the same scaling, {Epsilon}{sub ig} {proportional_to} {alpha}{sup 1.7} v{sub im}{sup -5.5}. If, however, the initial states are generated by rescaling the parent configuration according to the hydrodynamic similarity laws, we obtain a different scaling, {Epsilon}{sub ig} {proportional_to} {alpha}{sup 3}v{sub im}{sup -9}, which is very close to the {alpha}v{sub im}{sup -10} dependence predicted by the simple isobaric model for assembled fuel states. The latter is more favourable that the Livermore scaling when rescaling the fusion capsules to higher implosion velocities, but requires the peak drive pressure to be increased as P {proportional_to} v{sub im}{sup 5}. (authors) 10 refs.}
place = {France}
year = {1998}
month = {Dec}
}