Differential Sensitivity Theory applied to the MESA2D code for multi-material problems

Journal Article · Wed May 01 04:00:00 EDT 1996 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.50795· OSTI ID:561661

Henninger, R J; Maudlin, P J; Harstad, E N ^[1]

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1. Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

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 {ital all} n sensitivities can be obtained by integrating the solutions from only {ital 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. {copyright} {ital 1996 American Institute of Physics.}

• OSTI ID: 561661
• Report Number(s): CONF-950846--
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 370; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
99 GENERAL AND MISCELLANEOUS
COMPUTER CODES
EQUATIONS OF STATE
INTERFACES
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
SENSITIVITY ANALYSIS