A new scheme for multi-dimensional line transfer-I. Formulation and 1-D results
A new approach to solving non-LTE radiative transfer problems is presented that uses, as much as possible, iterative algorithms that yield the answer with an effort that scales linearly with the number of zones, number of frequencies, etc. A general description of the approach is given, including th...
Ausführliche Beschreibung
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E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1989 |
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| Reproduktion: |
Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 |
|---|---|
| Übergeordnetes Werk: |
in: Journal of Quantitative Spectroscopy and Radiative Transfer - Amsterdam : Elsevier, 41(1989), 3, Seite 199-219 |
| Übergeordnetes Werk: |
volume:41 ; year:1989 ; number:3 ; pages:199-219 |
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| 520 | |a A new approach to solving non-LTE radiative transfer problems is presented that uses, as much as possible, iterative algorithms that yield the answer with an effort that scales linearly with the number of zones, number of frequencies, etc. A general description of the approach is given, including the transfer methods for 2-D and the manner of treating the atomic kinetics for a general multi-level atom. Most of the paper is devoted to a description of an iterative method for treating the frequency coupling implicit in line formation with either complete or partial frequency redistribution. This method, which is a double-splitting iteration, is a relaxation method, so that in the limit the exact implicit equations are obeyed. This procedure is combined with Orthomin acceleration. Numerical examples show that good convergence is obtained for the accelerated scheme over a wide range of line-formation parameters. A convergence analysis of the double splitting method and other recently proposed methods shows that the present method is as good as the best of the others, and has some advantages in terms of ease of use and adaptability to multi-D and to partial redistribution. | ||
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(DE-627)NLEJ177398205 (DE-599)GBVNLZ177398205 DE-627 ger DE-627 rakwb eng A new scheme for multi-dimensional line transfer-I. Formulation and 1-D results 1989 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A new approach to solving non-LTE radiative transfer problems is presented that uses, as much as possible, iterative algorithms that yield the answer with an effort that scales linearly with the number of zones, number of frequencies, etc. A general description of the approach is given, including the transfer methods for 2-D and the manner of treating the atomic kinetics for a general multi-level atom. Most of the paper is devoted to a description of an iterative method for treating the frequency coupling implicit in line formation with either complete or partial frequency redistribution. This method, which is a double-splitting iteration, is a relaxation method, so that in the limit the exact implicit equations are obeyed. This procedure is combined with Orthomin acceleration. Numerical examples show that good convergence is obtained for the accelerated scheme over a wide range of line-formation parameters. A convergence analysis of the double splitting method and other recently proposed methods shows that the present method is as good as the best of the others, and has some advantages in terms of ease of use and adaptability to multi-D and to partial redistribution. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Klein, R.I. oth Castor, J.I. oth Greenbaum, A. oth Taylor, D. oth Dykema, P.G. oth in Journal of Quantitative Spectroscopy and Radiative Transfer Amsterdam : Elsevier 41(1989), 3, Seite 199-219 (DE-627)NLEJ177070757 (DE-600)1491916-3 0022-4073 nnns volume:41 year:1989 number:3 pages:199-219 http://linkinghub.elsevier.com/retrieve/pii/0022-4073(89)90029-0 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 41 1989 3 199-219 |
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(DE-627)NLEJ177398205 (DE-599)GBVNLZ177398205 DE-627 ger DE-627 rakwb eng A new scheme for multi-dimensional line transfer-I. Formulation and 1-D results 1989 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A new approach to solving non-LTE radiative transfer problems is presented that uses, as much as possible, iterative algorithms that yield the answer with an effort that scales linearly with the number of zones, number of frequencies, etc. A general description of the approach is given, including the transfer methods for 2-D and the manner of treating the atomic kinetics for a general multi-level atom. Most of the paper is devoted to a description of an iterative method for treating the frequency coupling implicit in line formation with either complete or partial frequency redistribution. This method, which is a double-splitting iteration, is a relaxation method, so that in the limit the exact implicit equations are obeyed. This procedure is combined with Orthomin acceleration. Numerical examples show that good convergence is obtained for the accelerated scheme over a wide range of line-formation parameters. A convergence analysis of the double splitting method and other recently proposed methods shows that the present method is as good as the best of the others, and has some advantages in terms of ease of use and adaptability to multi-D and to partial redistribution. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Klein, R.I. oth Castor, J.I. oth Greenbaum, A. oth Taylor, D. oth Dykema, P.G. oth in Journal of Quantitative Spectroscopy and Radiative Transfer Amsterdam : Elsevier 41(1989), 3, Seite 199-219 (DE-627)NLEJ177070757 (DE-600)1491916-3 0022-4073 nnns volume:41 year:1989 number:3 pages:199-219 http://linkinghub.elsevier.com/retrieve/pii/0022-4073(89)90029-0 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 41 1989 3 199-219 |
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(DE-627)NLEJ177398205 (DE-599)GBVNLZ177398205 DE-627 ger DE-627 rakwb eng A new scheme for multi-dimensional line transfer-I. Formulation and 1-D results 1989 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A new approach to solving non-LTE radiative transfer problems is presented that uses, as much as possible, iterative algorithms that yield the answer with an effort that scales linearly with the number of zones, number of frequencies, etc. A general description of the approach is given, including the transfer methods for 2-D and the manner of treating the atomic kinetics for a general multi-level atom. Most of the paper is devoted to a description of an iterative method for treating the frequency coupling implicit in line formation with either complete or partial frequency redistribution. This method, which is a double-splitting iteration, is a relaxation method, so that in the limit the exact implicit equations are obeyed. This procedure is combined with Orthomin acceleration. Numerical examples show that good convergence is obtained for the accelerated scheme over a wide range of line-formation parameters. A convergence analysis of the double splitting method and other recently proposed methods shows that the present method is as good as the best of the others, and has some advantages in terms of ease of use and adaptability to multi-D and to partial redistribution. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Klein, R.I. oth Castor, J.I. oth Greenbaum, A. oth Taylor, D. oth Dykema, P.G. oth in Journal of Quantitative Spectroscopy and Radiative Transfer Amsterdam : Elsevier 41(1989), 3, Seite 199-219 (DE-627)NLEJ177070757 (DE-600)1491916-3 0022-4073 nnns volume:41 year:1989 number:3 pages:199-219 http://linkinghub.elsevier.com/retrieve/pii/0022-4073(89)90029-0 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 41 1989 3 199-219 |
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(DE-627)NLEJ177398205 (DE-599)GBVNLZ177398205 DE-627 ger DE-627 rakwb eng A new scheme for multi-dimensional line transfer-I. Formulation and 1-D results 1989 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A new approach to solving non-LTE radiative transfer problems is presented that uses, as much as possible, iterative algorithms that yield the answer with an effort that scales linearly with the number of zones, number of frequencies, etc. A general description of the approach is given, including the transfer methods for 2-D and the manner of treating the atomic kinetics for a general multi-level atom. Most of the paper is devoted to a description of an iterative method for treating the frequency coupling implicit in line formation with either complete or partial frequency redistribution. This method, which is a double-splitting iteration, is a relaxation method, so that in the limit the exact implicit equations are obeyed. This procedure is combined with Orthomin acceleration. Numerical examples show that good convergence is obtained for the accelerated scheme over a wide range of line-formation parameters. A convergence analysis of the double splitting method and other recently proposed methods shows that the present method is as good as the best of the others, and has some advantages in terms of ease of use and adaptability to multi-D and to partial redistribution. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Klein, R.I. oth Castor, J.I. oth Greenbaum, A. oth Taylor, D. oth Dykema, P.G. oth in Journal of Quantitative Spectroscopy and Radiative Transfer Amsterdam : Elsevier 41(1989), 3, Seite 199-219 (DE-627)NLEJ177070757 (DE-600)1491916-3 0022-4073 nnns volume:41 year:1989 number:3 pages:199-219 http://linkinghub.elsevier.com/retrieve/pii/0022-4073(89)90029-0 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 41 1989 3 199-219 |
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(DE-627)NLEJ177398205 (DE-599)GBVNLZ177398205 DE-627 ger DE-627 rakwb eng A new scheme for multi-dimensional line transfer-I. Formulation and 1-D results 1989 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A new approach to solving non-LTE radiative transfer problems is presented that uses, as much as possible, iterative algorithms that yield the answer with an effort that scales linearly with the number of zones, number of frequencies, etc. A general description of the approach is given, including the transfer methods for 2-D and the manner of treating the atomic kinetics for a general multi-level atom. Most of the paper is devoted to a description of an iterative method for treating the frequency coupling implicit in line formation with either complete or partial frequency redistribution. This method, which is a double-splitting iteration, is a relaxation method, so that in the limit the exact implicit equations are obeyed. This procedure is combined with Orthomin acceleration. Numerical examples show that good convergence is obtained for the accelerated scheme over a wide range of line-formation parameters. A convergence analysis of the double splitting method and other recently proposed methods shows that the present method is as good as the best of the others, and has some advantages in terms of ease of use and adaptability to multi-D and to partial redistribution. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Klein, R.I. oth Castor, J.I. oth Greenbaum, A. oth Taylor, D. oth Dykema, P.G. oth in Journal of Quantitative Spectroscopy and Radiative Transfer Amsterdam : Elsevier 41(1989), 3, Seite 199-219 (DE-627)NLEJ177070757 (DE-600)1491916-3 0022-4073 nnns volume:41 year:1989 number:3 pages:199-219 http://linkinghub.elsevier.com/retrieve/pii/0022-4073(89)90029-0 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 41 1989 3 199-219 |
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A new scheme for multi-dimensional line transfer-I. Formulation and 1-D results |
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A new approach to solving non-LTE radiative transfer problems is presented that uses, as much as possible, iterative algorithms that yield the answer with an effort that scales linearly with the number of zones, number of frequencies, etc. A general description of the approach is given, including the transfer methods for 2-D and the manner of treating the atomic kinetics for a general multi-level atom. Most of the paper is devoted to a description of an iterative method for treating the frequency coupling implicit in line formation with either complete or partial frequency redistribution. This method, which is a double-splitting iteration, is a relaxation method, so that in the limit the exact implicit equations are obeyed. This procedure is combined with Orthomin acceleration. Numerical examples show that good convergence is obtained for the accelerated scheme over a wide range of line-formation parameters. A convergence analysis of the double splitting method and other recently proposed methods shows that the present method is as good as the best of the others, and has some advantages in terms of ease of use and adaptability to multi-D and to partial redistribution. |
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A new approach to solving non-LTE radiative transfer problems is presented that uses, as much as possible, iterative algorithms that yield the answer with an effort that scales linearly with the number of zones, number of frequencies, etc. A general description of the approach is given, including the transfer methods for 2-D and the manner of treating the atomic kinetics for a general multi-level atom. Most of the paper is devoted to a description of an iterative method for treating the frequency coupling implicit in line formation with either complete or partial frequency redistribution. This method, which is a double-splitting iteration, is a relaxation method, so that in the limit the exact implicit equations are obeyed. This procedure is combined with Orthomin acceleration. Numerical examples show that good convergence is obtained for the accelerated scheme over a wide range of line-formation parameters. A convergence analysis of the double splitting method and other recently proposed methods shows that the present method is as good as the best of the others, and has some advantages in terms of ease of use and adaptability to multi-D and to partial redistribution. |
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A new approach to solving non-LTE radiative transfer problems is presented that uses, as much as possible, iterative algorithms that yield the answer with an effort that scales linearly with the number of zones, number of frequencies, etc. A general description of the approach is given, including the transfer methods for 2-D and the manner of treating the atomic kinetics for a general multi-level atom. Most of the paper is devoted to a description of an iterative method for treating the frequency coupling implicit in line formation with either complete or partial frequency redistribution. This method, which is a double-splitting iteration, is a relaxation method, so that in the limit the exact implicit equations are obeyed. This procedure is combined with Orthomin acceleration. Numerical examples show that good convergence is obtained for the accelerated scheme over a wide range of line-formation parameters. A convergence analysis of the double splitting method and other recently proposed methods shows that the present method is as good as the best of the others, and has some advantages in terms of ease of use and adaptability to multi-D and to partial redistribution. |
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Formulation and 1-D results</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1989</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">A new approach to solving non-LTE radiative transfer problems is presented that uses, as much as possible, iterative algorithms that yield the answer with an effort that scales linearly with the number of zones, number of frequencies, etc. A general description of the approach is given, including the transfer methods for 2-D and the manner of treating the atomic kinetics for a general multi-level atom. Most of the paper is devoted to a description of an iterative method for treating the frequency coupling implicit in line formation with either complete or partial frequency redistribution. This method, which is a double-splitting iteration, is a relaxation method, so that in the limit the exact implicit equations are obeyed. This procedure is combined with Orthomin acceleration. Numerical examples show that good convergence is obtained for the accelerated scheme over a wide range of line-formation parameters. A convergence analysis of the double splitting method and other recently proposed methods shows that the present method is as good as the best of the others, and has some advantages in terms of ease of use and adaptability to multi-D and to partial redistribution.</subfield></datafield><datafield tag="533" ind1=" " ind2=" "><subfield code="f">Elsevier Journal Backfiles on ScienceDirect 1907 - 2002</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Klein, R.I.</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Castor, J.I.</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Greenbaum, A.</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Taylor, D.</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Dykema, P.G.</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">in</subfield><subfield code="t">Journal of Quantitative Spectroscopy and Radiative Transfer</subfield><subfield code="d">Amsterdam : Elsevier</subfield><subfield code="g">41(1989), 3, Seite 199-219</subfield><subfield code="w">(DE-627)NLEJ177070757</subfield><subfield code="w">(DE-600)1491916-3</subfield><subfield code="x">0022-4073</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:41</subfield><subfield code="g">year:1989</subfield><subfield code="g">number:3</subfield><subfield code="g">pages:199-219</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://linkinghub.elsevier.com/retrieve/pii/0022-4073(89)90029-0</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_H</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-SDJ</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_NL_ARTICLE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">41</subfield><subfield code="j">1989</subfield><subfield code="e">3</subfield><subfield code="h">199-219</subfield></datafield></record></collection>
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