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Radiative transfer in Rayleigh–Taylor unstable ICF pellets

Published online by Cambridge University Press:  09 March 2009

G. C. Pomraning
Affiliation:
Kernforschungszentrum Karlsruhe, Institut für Neutronenphysik und Reaktortechnik, Postfach 3640, D-7500 Karlsruhe 1, Germany

Abstract

A formulation of radiative transfer is discussed describing energy flow in a turbulent mixture in the vicinity of a Rayleigh–Taylor unstable interface, as might be extant in an ICF pellet. Included in this discussion are (1) the method of smoothing and the Liouville master equation approaches in the case of Markovian statistics as the description of the fluid mixing, (2) the use of asymptotics to derive various limiting descriptions of the Markov model, (3) the use of the theory of alternating renewal processes to obtain an integral equation formulation for non-Markovian statistics, and (4) the reduction of this non-Markovian integral formulation to integro-differential equations of the generic transport form, with statistical effects represented by pseudoscattering terms.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1990

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References

REFERENCES

Adams, M. L., Larsen, E. W. & Pomraning, G. C. 1989 J. Quant. Spectrosc. Radial. Transfer 42, 253.CrossRefGoogle Scholar
Boffi, V. C., Malvagi, F. & Pomraning, G. C. 1990 J. Stat. Phys. 60, 445.CrossRefGoogle Scholar
Englman, R., Jaeger, Z. & Levi, A. 1984 Philos. Mag. B 50, 307.Google Scholar
Frisch, H., Pomraning, G. C. & Zwiefel, P. F. 1990 J. Quant. Spectrosc. Radial. Transfer 43, 271.Google Scholar
Gupta, N. K. & Lawande, S. V. 1989 Laser Part. Beams 7, 27.CrossRefGoogle Scholar
Levermore, C. D. 1979 LLNL Report No. UCID-18229.Google Scholar
Levermore, C. D. 1984 J. Quant. Spectrosc. Radial. Transfer 31, 149.CrossRefGoogle Scholar
Levermore, C. D. et al. 1986 J. Math. Phys. 27, 2526.Google Scholar
Levermore, C. D. 1987 Private communication.Google Scholar
Levermore, C. D. 1990 In preparation.Google Scholar
Levermore, C. D. & Pomraning, G. C. 1981 Astrophys. J. 248, 321.Google Scholar
Levermore, C. D., Pomraning, G. C. & Wong, J. 1988 J. Math. Phys. 29, 995.CrossRefGoogle Scholar
Malvagi, F., Levermore, C. D. & Pomraning, G. C. 1989 Transp. Theory Stat. Phys. 18, 287.CrossRefGoogle Scholar
Malvagi, F. & Pomraning, G. C. 1988 J. Phys. Coll. C7 49, 321.Google Scholar
Malvagi, F. & Pomraning, G. C. 1990 J. Math. Phys. 31, 892.Google Scholar
Pomraning, G. C. 1973 The Equations of Radiation Hydrodynamics (Pergamon, Oxford).Google Scholar
Pomraning, G. C. 1986 Transp. Theory Stat. Phys. 15, 773.CrossRefGoogle Scholar
Pomraning, G. C. 1988a J. Quant. Spectrosc. Radial. Transfer 40, 479.Google Scholar
Pomraning, G. C. 1988b Transp. Theory Stat. Phys. 17, 595.CrossRefGoogle Scholar
Pomraning, G. C. 1989a J. Quant. Spectrosc. Radiat. Transfer 41 103.CrossRefGoogle Scholar
Pomraning, G. C. 1989b J. Quant. Spectrosc. Radiat. Transfer 42, 279.Google Scholar
Pomraning, G. C. 1990 In preparation.Google Scholar
Pomraning, G. C., Levermore, C. D. & Wong, J. 1989 Lecture Notes in Pure and Applied Mathematics 115, Nelson, P. et al. , ed. (Marcel Dekker, New York), pp. 135.Google Scholar
Pomraning, G. C. 1990 In preparation.Google Scholar
Pomraning, G. C., Levermore, C. D. & Wong, J. 1989 Lecture Notes in Pure and Applied Mathematics 115, Nelson, P. et al. , ed. (Marcel Dekker, New York), pp. 135.Google Scholar
Pomraning, G. C. & Sanchez, R. 1990 J. Quant. Spectrosc. Radial. Transfer 43, 267.Google Scholar
Sahni, D. C. 1989a J. Math. Phys. 30, 1554.CrossRefGoogle Scholar
Sahni, D. C. 1989b Ann. Nucl. Energy 16, 397.Google Scholar
Sanchez, R. 1989 J. Math. Phys. 30, 2498.CrossRefGoogle Scholar
Switzer, P. 1965 Ann. Math. Slat. 36, 1859.Google Scholar
Vanderhaegen, D. 1986 J. Quant. Spectrosc. Radial. Transfer 36, 557.Google Scholar
Vanderhaegen, D. 1988 J. Quant. Spectrosc. Radiat. Transfer 39, 333.CrossRefGoogle Scholar
Vanderhaegen, D. & Deutsch, C. 1989 J. Stat. Phys. 54, 331.CrossRefGoogle Scholar