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Title

A CutCell Based Ghost Fluid Method for MultiComponent Compressible Flows

Author

Liu, Chen

Date Created

2020

SubjectsTopical

Fluid mechanics

Description

Multimaterial compressible flows are observed in several applications of practical relevance including combustion, cavitation and shock lithotripsy. To solve such flows numerically with improved efficiency and accuracy, the use of the Ghost Fluid...


Title

A NUMERICAL STUDY OF INTERFACIAL INSTABILITIES IN SHOCKED MATERIALS WITH SURFACE TENSION

Author

Bigdelou, Pedram

Date Created

2020

SubjectsTopical

Fluid mechanics, Physics

Description

Shockdriven multimaterial flows occur in several applications including shock wave lithotripsy, underwater explosions, droplet combustion, propeller cavitation and ejection of material from surfaces subject to blast loading. Such flows are highl...


Title

ABSOLUTE DISTANCE (THICKNESS) METROLOGY USING WAVELENGTH SCANNING INTERFEROMETRY

Author

Suratkar, Amit

Date Created

2009

SubjectsTopical

Optics, Optical engineering, Metrology

Description

Wavelength scanning interferometry offers a new dimension in precision metrology by measuring the cavity length (thickness), the cavity length variation over the cavity area (flatness), and the optical homogeneity within a transparent cavity; with...


Title

From Nonradiating Sources to Directionally Invisible Objects

Author

Hurwitz, Elisa

Date Created

2017

SubjectsTopical

Optics, Physics

Description

The goal of this dissertation is to extend the understanding of invisible objects, in particular nonradiating sources and directional nonscattering scatterers. First, variations of nullfield nonradiating sources are derived from Maxwell's equatio...


Title

HYDRODYNAMIC SIMULATIONS OF EJECTA PRODUCTION FROM SHOCKED METALLIC SURFACES

Author

Karkhanis, Varad

Date Created

2017

SubjectsTopical

Mechanical engineering, Mechanics, Aerospace engineering

Description

The phenomenon of mass ejection into vacuum from a shocked metallic free surfaces can have a deleterious effect on the implosion phase of the Inertial Confinement Fusion (ICF) process. Often, the ejecta take the form of a cloud of particles that a...


Title

High Order H(div) Discontinuous Galerkin Methods for MHD Equations

Author

Wu, Jian

Date Created

2016

SubjectsTopical

Mathematics

Description

In this dissertation, we investigate the divergencefree discontinuous Galerkin method using the $\mathcal{H}$(\textbf{div}) basis, to solve the nonlinear ideal magnetohydrodynamics (MHD) equations. This is a novel approach to ensure the divergenc...


Title

IMAGE CHARGE SOLVATION MODEL (ICSM) FOR SIMULATING BIOMOLECULES AND KCSA IONCHANNELS

Author

Baker, Katherine

Date Created

2014

SubjectsTopical

Mathematics

Description

We present an order N method for calculating electrostatic interactions that has been integrated into the molecular dynamics portion of the TINKER Molecular Modeling package. This method, termed the ImageCharge Solvation Model (ICSM), and introdu...


Title

Inverse source problems for elliptic and parabolic equations

Author

Li, Qitong

Date Created

2019

SubjectsTopical

Mathematics

Description

In this dissertation, we solve two inverse problems. The first one is the inverse source problem for the Helmholtz equation that governs the wave propagating in anisotropic media. The second one is to recover the initial condition for parabolic eq...


Title

Isogeometric collocation method for elasticity problems containing singularities

Author

Rattan, Puja

Date Created

2016

SubjectsTopical

Mathematics

Description

Isogeometric analysis (IGA), introduced by Hughes, et al. [2,3], is a mathematical approach that combines Finite Element analysis (FEA) in conjunction with engineering design tools, such as CAD, which allows analysis, testing and redesign of struc...


Title

Minimizing TaskSpecific Uncertainty in CMMBased Freeform Optics Metrology

Author

Uwakwe, Michael

Date Created

2018

SubjectsTopical

Mechanical engineering, Optics, Metrology

Description

Measurements of surface form involve a comparison between the form of the test surface and a reference. In coordinate measuring machine (CMM) measurements, this reference is the machine geometry. The measurement results typically show a height map...


Title

Numerical models of COVID19

Author

Cung, Benjamin

Date Created

2021

SubjectsTopical

Mathematics

Description

COVID19 is an ongoing infectious disease where individuals progress through the following four stages: susceptible (S), exposed (E), infected (I), and recovered (R). The standard mathematical model for the spread of such diseases through a large ...


Title

Numerical models of COVID19

Author

Cung, Benjamin

Date Created

2021

SubjectsTopical

Mathematics

Description

COVID19 is an ongoing infectious disease where individuals progress through the following four stages: susceptible (S), exposed (E), infected (I), and recovered (R). The standard mathematical model for the spread of such diseases through a large ...


Title

RANDOMIZED NUMERICAL LINEAR ALGEBRA FOR KERNEL MATRIX COMPRESSION

Author

Maniar, Saumya Kandarp

Date Created

2020

SubjectsTopical

Mathematics

Description

Matrices are used significantly as a medium to store data in many applications likeData Science, Computer Science, Statistics, and Applied Mathematics. Matrix computationslike matrix multiplication, matrix inversion, eigenvalue decomposition, sing...


Title

SCHWARZ METHODS FOR FOURTHORDER PROBLEMS CONTAINING SINGULARITIES

Author

Palta, Birce

Date Created

2019

SubjectsTopical

Mathematics

Description

We develop numerical methods for analysis of fourthorder partial differential equations on domains with angular corners. For the finite element analysis of fourthorder partial differential equations, we have to use smoother basis functions whose...