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Application of new RKAHeM(4,4) technique to analyze the structure of initial extrasolar giant protoplanets.

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Title: Application of new RKAHeM(4,4) technique to analyze the structure of initial extrasolar giant protoplanets.
Authors: Senthilkumar, Sukumar1 ssenthilkumar1974@yahoo.co.in, Paul, Gour pcgour2001@yahoo.com
Source: Earth Science Informatics. Mar2012, Vol. 5 Issue 1, p23-31. 9p.
Subject Terms: *Convective flow, *Runge-Kutta formulas, *Extrasolar planets, *Solar system, *Thermodynamics
Abstract: Establishing and successfully implementing new numerical computational technique(s) with simulation tool is one of the most important difficult tasks in order to carry out real time scientific astronomical and other sophisticated problems. The main focus and highlight of this paper is concerned with the introduction of a newly proposed simple embedded RKAHeM(4,4) technique to determine the distribution of thermodynamic variables inside protoplanets during pre-collapse stage, formed by gravitational instability, for protoplanetary masses between 0.3 to 10 Jupiter masses. The case of convection is a significant concern for transference of heat inside the protoplanet and the graphical solution demonstrates positively better performance by inducting the newly proposed effective RKAHeM(4,4) algorithm for any length of time in comparison with the results through Classical Runge-Kutta method. Furthermore, the analytic expression for local truncation error, global truncation error and error estimates are derived for better understanding. A viable quantitative analysis has been carried out to clearly visualize the goodness and robustness of the proposed RKAHeM(4,4) algorithm. [ABSTRACT FROM AUTHOR]
Database: Energy & Power Source
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Header DbId: enr
DbLabel: Energy & Power Source
An: 73363520
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PubType: Academic Journal
PubTypeId: academicJournal
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  Label: Title
  Group: Ti
  Data: Application of new RKAHeM(4,4) technique to analyze the structure of initial extrasolar giant protoplanets.
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  Data: <searchLink fieldCode="AR" term="%22Senthilkumar%2C+Sukumar%22">Senthilkumar, Sukumar</searchLink><relatesTo>1</relatesTo><i> ssenthilkumar1974@yahoo.co.in</i><br /><searchLink fieldCode="AR" term="%22Paul%2C+Gour%22">Paul, Gour</searchLink><i> pcgour2001@yahoo.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Earth+Science+Informatics%22">Earth Science Informatics</searchLink>. Mar2012, Vol. 5 Issue 1, p23-31. 9p.
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  Data: *<searchLink fieldCode="DE" term="%22Convective+flow%22">Convective flow</searchLink><br />*<searchLink fieldCode="DE" term="%22Runge-Kutta+formulas%22">Runge-Kutta formulas</searchLink><br />*<searchLink fieldCode="DE" term="%22Extrasolar+planets%22">Extrasolar planets</searchLink><br />*<searchLink fieldCode="DE" term="%22Solar+system%22">Solar system</searchLink><br />*<searchLink fieldCode="DE" term="%22Thermodynamics%22">Thermodynamics</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Establishing and successfully implementing new numerical computational technique(s) with simulation tool is one of the most important difficult tasks in order to carry out real time scientific astronomical and other sophisticated problems. The main focus and highlight of this paper is concerned with the introduction of a newly proposed simple embedded RKAHeM(4,4) technique to determine the distribution of thermodynamic variables inside protoplanets during pre-collapse stage, formed by gravitational instability, for protoplanetary masses between 0.3 to 10 Jupiter masses. The case of convection is a significant concern for transference of heat inside the protoplanet and the graphical solution demonstrates positively better performance by inducting the newly proposed effective RKAHeM(4,4) algorithm for any length of time in comparison with the results through Classical Runge-Kutta method. Furthermore, the analytic expression for local truncation error, global truncation error and error estimates are derived for better understanding. A viable quantitative analysis has been carried out to clearly visualize the goodness and robustness of the proposed RKAHeM(4,4) algorithm. [ABSTRACT FROM AUTHOR]
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        Value: 10.1007/s12145-011-0093-4
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      – Code: eng
        Text: English
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        PageCount: 9
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      – SubjectFull: Convective flow
        Type: general
      – SubjectFull: Runge-Kutta formulas
        Type: general
      – SubjectFull: Extrasolar planets
        Type: general
      – SubjectFull: Solar system
        Type: general
      – SubjectFull: Thermodynamics
        Type: general
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      – TitleFull: Application of new RKAHeM(4,4) technique to analyze the structure of initial extrasolar giant protoplanets.
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              Text: Mar2012
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              Y: 2012
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