Lagrangian continuum dynamics in ALEGRA.

Technical Report · Sat Dec 01 00:00:00 EST 2007

DOI:https://doi.org/10.2172/934850· OSTI ID:934850

Wong, Michael K. W.; Love, Edward

Alegra is an ALE (Arbitrary Lagrangian-Eulerian) multi-material finite element code that emphasizes large deformations and strong shock physics. The Lagrangian continuum dynamics package in Alegra uses a Galerkin finite element spatial discretization and an explicit central-difference stepping method in time. The goal of this report is to describe in detail the characteristics of this algorithm, including the conservation and stability properties. The details provided should help both researchers and analysts understand the underlying theory and numerical implementation of the Alegra continuum hydrodynamics algorithm.

• Research Organization: Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC04-94AL85000
• OSTI ID: 934850
• Report Number(s): SAND2007-8104; TRN: US200815%%177
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
A CODES
FINITE ELEMENT METHOD
HYDRODYNAMICS
LAGRANGIAN FUNCTION
Spatial analysis.
Lagrangian functions.
Hydrodynamics-Mathematical models.
Spatial behavior-Mathematical models.
Hydrodynamics-Computer simulation.