Actions for Stability analysis of the von Neumann--Richtmyer difference scheme with rate dependent materials relations. Part 2. Subcycling and the Malvern relation. [Application to WONDY] [electronic resource].

Email RIS file
Bookmark
Report an Issue

Stability analysis of the von Neumann--Richtmyer difference scheme with rate dependent materials relations. Part 2. Subcycling and the Malvern relation. [Application to WONDY] [electronic resource].

Published
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy, 1977.
Physical Description
Pages: 31 : digital, PDF file
Additional Creators
United States. Department of Energy. Office of Scientific and Technical Information
Access Online

Availability

I Want It
I Want It

Finding items...

Restrictions on Access
Free-to-read Unrestricted online access
Summary
Stability criteria are developed for solving problems involving rate-dependent material properties in hydrocodes such as WONDY. As severe restrictions in the allowable timestep size result for small relaxation times, subcycling was introduced to solve this problem. That is, if the subcycle number (m) is large enough, then the timestep restriction as it exists in WONDY is sufficient for stability; this is shown herein for the case of a simple backward difference subcycling scheme for the Malvern rate-dependent material relation. The problem of precisely how large m must be for a given ratio of the timestep to the relaxation time, h = ..delta..t/tau, was studied. Although the form of solution for m as a function of h is complicated, it can be incorporated easily into WONDY. In the extreme cases of h very small or large, the solution can be simply stated: if h is very small, then m = 1 suffices; if h greater than 2, then m greater than or equal to h suffices. The fact that the solution reduces to m greater than or equal to h for large h is an elegant and interesting result.
Report Numbers
E 1.99:sand-77-0374
sand-77-0374
Subject(s)
Other Subject(s)
Note
Published through SciTech Connect.
05/01/1977.
"sand-77-0374"
Hicks, D.L.
Sandia Labs., Albuquerque, NM (USA)
Funding Information
EY-76-C-04-0789
View MARC record | catkey: 14065021