Constrained optimization framework for interface-aware sub-scale dynamics models for voids closure in Lagrangian hydrodynamics

In hydrocodes, voids are used to represent vacuum and model free boundaries between vacuum and real materials. We give a systematic description of a new treatment of void closure in the framework of the multimaterial arbitrary Lagrangian–Eulerian (ALE) methods. This includes a new formulation of the...

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Bibliographic Details
Published in:Journal of computational physics 2018-10, Vol.371, p.914-944
Main Authors: Barlow, Andrew, Klima, Matej, Shashkov, Mikhail
Format: Article
Language:English
Subjects:
ALE (numerical method)
Algorithms
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Computational fluid dynamics
Computational physics
Fluid flow
Fluid mechanics
Free boundaries
Hydrodynamics
Interface-aware sub-scale closure models
Lagrangian hydrodynamics
Mathematical models
MATHEMATICS AND COMPUTING
Multimaterial cells
Numerical analysis
Optimization
Scale (ratio)
Two dimensional models
Void closure
Voids
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Summary:In hydrocodes, voids are used to represent vacuum and model free boundaries between vacuum and real materials. We give a systematic description of a new treatment of void closure in the framework of the multimaterial arbitrary Lagrangian–Eulerian (ALE) methods. This includes a new formulation of the interface-aware sub-scale-dynamics (IA-SSD) closure model for multimaterial cells with voids, which is used in the Lagrangian stage of our indirect ALE scheme. The results of the comprehensive testing of the new model are presented for one- and two-dimensional multimaterial calculations in the presence of voids. We also present a sneak peek of a realistic shaped charge calculation in the presence of voids and solids. •Developed the new treatment of voids closure which is used in the Lagrangian stage of our indirect ALE scheme.•New approach is based on the interface-aware sub-scale-dynamics closure model for multimaterial cells with voids.•Presented results of the comprehensive testing of the new model.•Presented a sneak peek of a realistic shaped charge calculation in the presence of voids and solids.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2018.03.034