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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
Physically Based Preconditioning Techniques Applied To The First Order Particle Transport And To Fluid Transport In Porous Media, Michael Rigley
Physically Based Preconditioning Techniques Applied To The First Order Particle Transport And To Fluid Transport In Porous Media, Michael Rigley
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
Solving linear systems is at the heart of many scientific applications from the PreAlgebra's student solving for x and y for basic geometry problems to the computational scientist solving billions of equations with billions of variables for weather forecasting, modeling fusion reactions, or web search algorithms. In this study we look at improving the efficiency of solving large linear systems that result from two applications. The first includes linear systems that result from solving differential equations for the movement of atomic particles in particle emitting, void, and absorbing regions. The second includes solving linear systems that result from solving differential …
Modeling The Permittivity Of Two-Phase Media Containing Monodisperse Spheres: Effects Of Microstructure And Multiple Scattering, Timothy E. Doyle, David A. Robinson, Scott B. Jones, Keith H. Warnick, Brent L. Carruth
Modeling The Permittivity Of Two-Phase Media Containing Monodisperse Spheres: Effects Of Microstructure And Multiple Scattering, Timothy E. Doyle, David A. Robinson, Scott B. Jones, Keith H. Warnick, Brent L. Carruth
Plants, Soils, and Climate Faculty Publications
A numerical modeling approach was developed to predict the dielectric properties of heterogeneous particulate materials with arbitrary microstructures. To test the method, simulation and experimental data were acquired for the effective permittivities of various glass sphere suspensions. Both ordered lattices and random microstructures of up to 3600 spheres were modeled for volume fractions of 0.025–0.60. The electric fields in the suspensions were computed using an iterative multipole method that included multiple-scattering effects. The effective permittivities were obtained by averaging the electric field and electric displacement over a representative volume. Frequency spectra, electric field images, and single-scattering results (i.e., no particle-particle …