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  • Model of heterogeneous microscale in SOFI for Monte Carlo simulations

    Creator:
    Gibson, Nathan Louis
    Abstract:
    We present a methodology for creating a simulated foam microstructure for use in forward simulations of wave equations to quantitatively analyze the expected scattering phenomenon primarily responsible for the attenuation of interrogating signals in Sprayed-On Foam Insulation (SOFI). Our approach builds off of the popular use of Voronoi Tessalations for...
    Resource Type:
    Technical Report
    Full Text:
    Nathan L. Gibson May 21, 2007 Abstract We present a methodology for creating a simulated foam

  • High-Order Staggered Finite Difference Methods for Maxwell's Equations in Dispersive Media

    Creator:
    Bokil, Vrushali A. and Gibson, Nathan L.
    Abstract:
    We study the stability properties of, and the phase error present in, several higher order (in space) staggered finite difference schemes for Maxwell's equations coupled with a Debye or Lorentz polarization model. We present a novel expansion of the symbol of finite difference approximations, of arbitrary (even) order, of the...
    Resource Type:
    Technical Report
    Full Text:
    Equations in Dispersive Media V. A. Bokil∗ and N. L. Gibson† Department of Mathematics Oregon State