NDLI: Computational study of shock waves propagating through air-plastic-water interfaces

Content Provider	Springer Nature Link
Author	Del Razo, Mauricio J. LeVeque, Randall J.
Copyright Year	2016
Abstract	The following study ismotivated by experimental studies in traumatic brain injury (TBI). Recent research has demonstrated that low intensity non-impact blast wave exposure frequently leads to mild traumatic brain injury (mTBI); however, the mechanisms connecting the blast waves and the mTBI remain unclear. Collaborators at the Seattle VA Hospital are doing experiments to understand how blast waves can produce mTBI. In order to gain insight that is hard to obtain by experimental means, we have developed conservative finite volume methods for interface-shock wave interaction to simulate these experiments. A 1D model of their experimental setup has been implemented using Euler equations for compressible fluids. These equations are coupled with a Tammann equation of state (EOS) that allows us to model compressible gas along with almost incompressible fluids or elastic solids. A hybrid HLLC-exact Eulerian-Lagrangian Riemann solver for Tammann EOS with a jump in the parameters has been developed. The model has shown that if the plastic interface is very thin, it can be neglected. This result might be very helpful to model more complicated setups in higher dimensions.
Starting Page	685
Ending Page	700
Page Count	16
File Format	PDF
ISSN	16787544
Journal	Bulletin of the Brazilian Mathematical Society
Volume Number	47
Issue Number	2
e-ISSN	16787714
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2016-06-22
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	interface problems Tammann EOS shocks across interfaces traumatic brain injury compressible and almost incompressible media interface Partial differential equations, boundary value problems Applications to physics Numerical methods Biological fluid mechanics Hyperbolic equations and systems Mathematics Theoretical, Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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