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Title: A new flux-limited, two-dimensional, nonsymmetric tensor shock viscosity for DYNA2D: Progress report

Technical Report ·
DOI:https://doi.org/10.2172/5809741· OSTI ID:5809741

A new artificial viscosity that is being developed for DYNA2D is described in this progress report. It incorporates the one- dimensional, flux-limited viscosity developed by Randy Christensen into a two-dimensional setting. In addition, it tries to overcome some of the difficulties associated with traditional bulk viscosity formulations by using an nonsymmetric viscosity tensor. A different nonsymmetric approach (and a symmetrized version of it) is being used in SHALE by Len Margolin with great success. In a later section of this paper, the results of DYNA2D and SHALE for the ''Saltzman problem'' are compared. The general organization of this report is as follows: First it presents the one-dimensional, flux-limited viscosity developed by Christensen. An nonsymmetric tensor viscosity is then developed and the addition of flux-limiting to it is discussed. The issue of boundary conditions turns out to be crucial, and some issues associated with them are unresolved. The current boundary conditions and the issues associated with them are discussed. Example calculations are also given. The current work is summarized and future work is outlined in the first chapter. This brief progress report is the basis of a future journal paper. The work presented in here is unfinished, and some of the results and algorithms will undoubtedly be changed before the final paper. No attempt has been made to survey the results of others in this report, but a limited survey will be incorporated in the journal paper. 7 refs., 39 figs.

Research Organization:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); California Univ., San Diego, La Jolla, CA (USA). Dept. of Applied Mechanics and Engineering Sciences
DOE Contract Number:
W-7405-ENG-48
OSTI ID:
5809741
Report Number(s):
UCRL-21204; ON: DE89015088
Resource Relation:
Other Information: Paper copy only, copy does not permit microfiche production
Country of Publication:
United States
Language:
English