Differential sensitivity theory applied to the MESA2D code for multi-material problems

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The technique called Differential Sensitivity Theory (DST) is extended to the multi-component system of equations solved by the MESA2D hydrocode. DST uses adjoint techniques to determine exact sensitivity derivatives, i.e., if R is a calculation result of interest (response R) and {alpha}{sub i} is a calculation input (parameter {alpha}{sub i}), then {partial_derivative}R/{partial_derivative}{alpha}{sub i} is defined as the sensitivity. The advantage of using DST is that for an n-parameter problem all n sensitivities can be obtained by integrating the solutions from only two calculations, a MESA calculation and its corresponding adjoint calculation using an Adjoint Continuum Mechanics (ACM) code. Previous papers ... continued below

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6 p.

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Henninger, R. J.; Maudlin, P. J. & Harstad, E. N. September 1995.

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Description

The technique called Differential Sensitivity Theory (DST) is extended to the multi-component system of equations solved by the MESA2D hydrocode. DST uses adjoint techniques to determine exact sensitivity derivatives, i.e., if R is a calculation result of interest (response R) and {alpha}{sub i} is a calculation input (parameter {alpha}{sub i}), then {partial_derivative}R/{partial_derivative}{alpha}{sub i} is defined as the sensitivity. The advantage of using DST is that for an n-parameter problem all n sensitivities can be obtained by integrating the solutions from only two calculations, a MESA calculation and its corresponding adjoint calculation using an Adjoint Continuum Mechanics (ACM) code. Previous papers have described application of the technique to one-dimensional, single-material problems. This work presents the derivation and solution of the additional adjoint equations for the purpose of computing sensitivities for two-dimensional, multi-component problems. As an example, results for a multi-material flyer plate impact problem featuring an oblique impact are given.

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6 p.

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OSTI as DE95016983

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  • American Physical Society biennial conference on shock compression of condensed matter, Seattle, WA (United States), 13-18 Aug 1995

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  • Other: DE95016983
  • Report No.: LA-UR--95-2613
  • Report No.: CONF-950846--10
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 102387
  • Archival Resource Key: ark:/67531/metadc628397

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  • September 1995

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  • June 16, 2015, 7:43 a.m.

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  • Feb. 25, 2016, 4 p.m.

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Henninger, R. J.; Maudlin, P. J. & Harstad, E. N. Differential sensitivity theory applied to the MESA2D code for multi-material problems, article, September 1995; New Mexico. (digital.library.unt.edu/ark:/67531/metadc628397/: accessed October 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.