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Title: Method of and apparatus for modeling interactions

Patent ·
OSTI ID:1174685

A method and apparatus for modeling interactions can accurately model tribological and other properties and accommodate topological disruptions. Two portions of a problem space are represented, a first with a Lagrangian mesh and a second with an ALE mesh. The ALE and Lagrangian meshes are constructed so that each node on the surface of the Lagrangian mesh is in a known correspondence with adjacent nodes in the ALE mesh. The interaction can be predicted for a time interval. Material flow within the ALE mesh can accurately model complex interactions such as bifurcation. After prediction, nodes in the ALE mesh in correspondence with nodes on the surface of the Lagrangian mesh can be mapped so that they are once again adjacent to their corresponding Lagrangian mesh nodes. The ALE mesh can then be smoothed to reduce mesh distortion that might reduce the accuracy or efficiency of subsequent prediction steps. The process, from prediction through mapping and smoothing, can be repeated until a terminal condition is reached.

Research Organization:
Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC04-94AL85000
Assignee:
Sandia Corporation (Albuquerque, NM)
Patent Number(s):
6,678,642
Application Number:
09/169,300
OSTI ID:
1174685
Country of Publication:
United States
Language:
English

References (10)

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An Arbitrary Lagrangian–Eulerian Computing Method for All Flow Speeds journal August 1997
An efficient, accurate, simple ale method for nonlinear finite element programs journal March 1989
Numerical models of pressure pulse generation by imploding metal liners journal January 1996
Multi-Material ALE methods in unstructured grids journal July 2000

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