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Title: Arbitrary Lagrangian-Eulerian Hydrodynamics: Recent Development and Test Problems

Authors:
ORCiD logo [1]
  1. Los Alamos National Laboratory
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP) (NA-10)
OSTI Identifier:
1367809
Report Number(s):
LA-UR-17-25129
DOE Contract Number:
AC52-06NA25396
Resource Type:
Conference
Resource Relation:
Conference: The Platform for Advanced Scientific Computing Conference (PASC17) ; 2017-06-26 - 2017-06-28 ; Lugano, Switzerland
Country of Publication:
United States
Language:
English

Citation Formats

Rockefeller, Gabriel M. Arbitrary Lagrangian-Eulerian Hydrodynamics: Recent Development and Test Problems. United States: N. p., 2017. Web.
Rockefeller, Gabriel M. Arbitrary Lagrangian-Eulerian Hydrodynamics: Recent Development and Test Problems. United States.
Rockefeller, Gabriel M. 2017. "Arbitrary Lagrangian-Eulerian Hydrodynamics: Recent Development and Test Problems". United States. doi:. https://www.osti.gov/servlets/purl/1367809.
@article{osti_1367809,
title = {Arbitrary Lagrangian-Eulerian Hydrodynamics: Recent Development and Test Problems},
author = {Rockefeller, Gabriel M.},
abstractNote = {},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = 2017,
month = 6
}

Conference:
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  • The analysis of fluid-structure interaction involves the calculation of both fluid transient and structure dynamics. In the structural analysis, Lagrangian meshes have been used exclusively, whereas for the fluid transient, Lagrangian, Eulerian, and arbitrary Lagrangian-Eulerian (quasi-Eulerian) meshes have been used. This paper performs an evaluation on these three types of meshes. The emphasis is placed on the applicability of the method in analyzing fluid-structure interaction problems in HCDA analysis.
  • A new method that combines staggered grid Arbitrary Lagrangian-Eulerian (ALE) techniques with structured local adaptive mesh refinement (AMR) has been developed for solution of the Euler equations. The novel components of the combined ALE-AMR method hinge upon the integration of traditional AMR techniques with both staggered grid Lagrangian operators as well as elliptic relaxation operators on moving, deforming mesh hierarchies. Numerical examples demonstrate the utility of the method in performing detailed three-dimensional shock-driven instability calculations.
  • A new method that combines staggered grid Arbitrary Lagrangian-Eulerian (ALE) techniques with structured local adaptive mesh refinement (AMR) has been developed for solution of the Euler equations. The novel components of the combined ALE-AMR method hinge upon the integration of traditional AMR techniques with both staggered grid Lagrangian operators as well as elliptic relaxation operators on moving, deforming mesh hierarchies. Numerical examples demonstrate the utility of the method in performing detailed three-dimensional shock-driven instability calculations.
  • A new method that combines staggered grid Arbitrary Lagrangian-Eulerian (ALE) techniques with structured local adaptive mesh refinement (AMR) has been developed for solution of the Euler equations. This method facilitates the solution of problems currently at and beyond the boundary of soluble problems by traditional ALE methods by focusing computational resources where they are required through dynamic adaption. Many of the core issues involved in the development of the combined ALEAMR method hinge upon the integration of AMR with a staggered grid Lagrangian integration method. The novel components of the method are mainly driven by the need to reconcile traditionalmore » AMR techniques, which are typically employed on stationary meshes with cell-centered quantities, with the staggered grids and grid motion employed by Lagrangian methods. Numerical examples are presented which demonstrate the accuracy and efficiency of the method.« less