Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
JOURNAL OF COMPUTATIONAL PHYSICS 126, 390409 (1996) ARTICLE NO. 0145
 

Summary: JOURNAL OF COMPUTATIONAL PHYSICS 126, 390409 (1996)
ARTICLE NO. 0145
Level Set Methods Applied to Modeling Detonation
Shock Dynamics
TARIQ D. ASLAM,* JOHN B. BDZIL, AND D. SCOTT STEWART*,1
*University of Illinois, Urbana, Illinois 61801 and Los Alamos National Laboratory, Los Alamos, New Mexico 87545
Received June 26, 1995; revised November 3, 1995
shock has a large radius of curvature compared to the
characteristic, 1D reaction-zone length and that the im-We give an extension of the level set formulation of Osher and
Sethian, which describes the dynamics of surfaces that propagate portant dynamic time scale is slow, compared to the transit
under the influence of their own curvature. We consider an exten- time for particles through the reaction zone [1, 8]. The
sion of their original algorithms for finite domains that includes
simplest form of the intrinsic surface evolution equation,boundary conditions. We discuss this extension in the context of a
derived from DSD-theory, obtains a relation for the nor-specific application that comes from the theory of detonation shock
dynamics (DSD). We give an outline of the theory of DSD which mal detonation shock velocity, Dn, as a function of the
includes the formulation of the boundary conditions that comprise local total shock curvature, 1 2 (the sum of the
the engineering model. We give the formulation of the level set
principle curvatures and twice the mean curvature).
method, as applied to our application with finite boundary condi-
In our notation, the shock normal is chosen to point intions. We develop a numerical method to implement arbitrarily

  

Source: Aslam, Tariq - Los Alamos National Laboratory

 

Collections: Physics