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

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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.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Washington, Seattle, WA, 98195-3925, USA

    Mauricio J. Del Razo & Randall J. LeVeque

Authors
  1. Mauricio J. Del Razo
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  2. Randall J. LeVeque
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Correspondence to Mauricio J. Del Razo.

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Del Razo, M.J., LeVeque, R. Computational study of shock waves propagating through air-plastic-water interfaces. Bull Braz Math Soc, New Series 47, 685–700 (2016). https://doi.org/10.1007/s00574-016-0178-2

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  • DOI: https://doi.org/10.1007/s00574-016-0178-2

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