Multi-scale Lagrangian shock hydrodynamics on Q1/P0 finite elements: Theoretical framework and two-dimensional computations

A new multi-scale, stabilized method for Q1/P0 finite element computations of Lagrangian shock hydrodynamics is presented. Instabilities (of hourglass type) are controlled by a stabilizing operator derived using the variational multi-scale analysis paradigm. The resulting stabilizing term takes the...

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Bibliographic Details
Published in:	Computer methods in applied mechanics and engineering Vol. 197; no. 9; pp. 1056 - 1079
Main Authors:	Scovazzi, G., Love, E., Shashkov, M.J.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 01.02.2008 Elsevier
Subjects:	Computational techniques Exact sciences and technology Fluid dynamics Fracture mechanics (crack, fatigue, damage...) Fundamental areas of phenomenology (including applications) General theory Hourglass instability Lagrangian shock hydrodynamics Mathematical methods in physics Physics Physics of gases Physics of gases, plasmas and electric discharges Solid mechanics Stabilization Structural and continuum mechanics Variational multi-scale method Variational multi-scale method Lagrangian shock hydrodynamics Stabilization Hourglass instability Predictor-corrector methods Lagrangian Gas dynamics Clausius Duhem inequality Mechanical strength Shear strength Hydrodynamics Momentum Entropy Finite element method Equations of state Lagrange interpolation Multiscale method Variational calculus Modelling Strength of materials Numerical stability
ISSN:	0045-7825, 1879-2138
Online Access:	Get full text
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