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Articles 1 - 12 of 12
Full-Text Articles in Mathematics
A Monolithic Arbitrary Lagrangian-Eulerian Finite Element Method For An Unsteady Stokes/Parabolic Interface Problem, Ian Kesler
UNLV Theses, Dissertations, Professional Papers, and Capstones
In this thesis, a non-conservative arbitrary Lagrangian-Eulerian (ALE) method is developed
and analyzed for a type of linearized Fluid-Structure Interaction (FSI) problem in a
time dependent domain with a moving interface - an unsteady Stokes/parabolic interface
problem with jump coefficients. The corresponding mixed finite element approximation is
analyzed for both semi- and full discretization based upon the so-called non-conservative
ALE scheme. The stability and optimal convergence properties in the energy norm are
obtained for both schemes.
Numerical Analysis And Fluid Flow Modeling Of Incompressible Navier-Stokes Equations, Tahj Hill
Numerical Analysis And Fluid Flow Modeling Of Incompressible Navier-Stokes Equations, Tahj Hill
UNLV Theses, Dissertations, Professional Papers, and Capstones
The Navier-Stokes equations (NSE) are an essential set of partial differential equations for governing the motion of fluids. In this paper, we will study the NSE for an incompressible flow, one which density ρ = ρ0 is constant.
First, we will present the derivation of the NSE and discuss solutions and boundary conditions for the equations. We will then discuss the Reynolds number, a dimensionless number that is important in the observations of fluid flow patterns. We will study the NSE at various Reynolds numbers, and use the Reynolds number to write the NSE in a nondimensional form.
We will …
Bi-Directional Testing For Change Point Detection In Poisson Processes, Moinak Bhaduri
Bi-Directional Testing For Change Point Detection In Poisson Processes, Moinak Bhaduri
UNLV Theses, Dissertations, Professional Papers, and Capstones
Point processes often serve as a natural language to chronicle an event's temporal evolution, and significant changes in the flow, synonymous with non-stationarity, are usually triggered by assignable and frequently preventable causes, often heralding devastating ramifications. Examples include amplified restlessness of a volcano, increased frequencies of airplane crashes, hurricanes, mining mishaps, among others. Guessing these time points of changes, therefore, merits utmost care. Switching the way time traditionally propagates, we posit a new genre of bidirectional tests which, despite a frugal construct, prove to be exceedingly efficient in culling out non-stationarity under a wide spectrum of environments. A journey surveying …
Novel Methods For The Time-Dependent Maxwell’S Equations And Their Applications, Sidney Shields
Novel Methods For The Time-Dependent Maxwell’S Equations And Their Applications, Sidney Shields
UNLV Theses, Dissertations, Professional Papers, and Capstones
This dissertation investigates three different mathematical models based on the time domain Maxwell's equations using three different numerical methods: a Yee scheme using a non-uniform grid, a nodal discontinuous Galerkin (nDG) method, and a newly developed discontinuous Galerkin method named the weak Galerkin (WG) method. The non-uniform Yee scheme is first applied to an electromagnetic metamaterial model. Stability and superconvergence error results are proved for the method, which are then confirmed through numerical results. Additionally, a numerical simulation of backwards wave propagation through a negative-index metamaterial is given using the presented method. Next, the nDG method is used to simulate …
On The Scattering Of An Acoustic Plane Wave By A Soft Prolate Spheroid, Joseph Michael Borromeo
On The Scattering Of An Acoustic Plane Wave By A Soft Prolate Spheroid, Joseph Michael Borromeo
UNLV Theses, Dissertations, Professional Papers, and Capstones
This thesis solves the scattering problem in which an acoustic plane wave of propagation number K1 is scattered by a soft prolate spheroid. The interior field of the scatterer is characterized by a propagation number K2, while the field radiated by the scatterer is characterized by the propagation number K3. The three fields and their normal derivatives satisfy boundary conditions at the surface of the scatterer. These boundary conditions involve six complex parameters depending on the propagation numbers. The scattered wave also satisfies the Sommerfeld radiation condition at infinity. Through analytical methods, series representations are constructed for the interior field …
Exact Controllability Of The Lazer-Mckenna Suspension Bridge Equation, Lanxuan Yu
Exact Controllability Of The Lazer-Mckenna Suspension Bridge Equation, Lanxuan Yu
UNLV Theses, Dissertations, Professional Papers, and Capstones
It is well known that suspension bridges may display certain oscillations under external aerodynamic forces. Since the collapse of the Tacoma Narrows suspension bridge in 1940, suspension bridge models have been studied by many researchers. Based upon the fundamental nonlinearity in suspension bridges that the stays connecting the supporting cables and the roadbed resist expansion, but do not resist compression, new models describing oscillations in suspension bridges have been developed by Lazer and McKenna [Lazer and McKenna (1990)]. Except for a paper by Leiva [Leiva (2005)], there have been very few work on controls of the Lazer-McKenna suspension bridge models …
Observability In Traffic Modeling: Eulerian And Lagrangian Coordinates, Sergio Contreras
Observability In Traffic Modeling: Eulerian And Lagrangian Coordinates, Sergio Contreras
UNLV Theses, Dissertations, Professional Papers, and Capstones
Traditionally, one of the ways traffic flow has been studied is by using the kinematic wave model. This model is studied in the Eulerian framework. Recently, the kinematic wave model has been transformed into Lagrangian coordinates. This model of traffic flow together with the concept of observability for linear time invariant discrete time systems is applied to study the observability of four sections of a freeway in both Eulerian and Lagrangian coordinates. A system with densities in four sections of a freeway is designed, and the observability of the system is studied with different situations for sensors. When the system …
On High-Performance Parallel Fixed-Point Decimal Multiplier Designs, Ming Zhu
On High-Performance Parallel Fixed-Point Decimal Multiplier Designs, Ming Zhu
UNLV Theses, Dissertations, Professional Papers, and Capstones
High-performance, area-efficient hardware implementation of decimal multiplication is preferred to slow software simulations in a number of key scientific and financial application areas, where errors caused by converting decimal numbers into their approximate binary representations are not acceptable.
Multi-digit parallel decimal multipliers involve two major stages: (i) the partial product generation (PPG) stage, where decimal partial products are determined by selecting the right versions of the pre-computed multiples of the multiplicand, followed by (ii) the partial product accumulation (PPA) stage, where all the partial products are shifted and then added together to obtain the final multiplication product. In this thesis, …
3d Modeling And Design Optimization Of Rod Shaped Ionic Polymer Metal Composite Actuator, Siul A. Ruiz
3d Modeling And Design Optimization Of Rod Shaped Ionic Polymer Metal Composite Actuator, Siul A. Ruiz
UNLV Theses, Dissertations, Professional Papers, and Capstones
Ionic polymer-metal composites (IPMCs) are some of the most well-known electro-active polymers. This is due to their large deformation provided a relatively low voltage source. IPMCs have been acknowledged as a potential candidate for biomedical applications such as cardiac catheters and surgical probes; however, there is still no existing mass manufacturing of IPMCs. This study intends to provide a theoretical framework which could be used to design practical purpose IPMCs depending on the end users interest.
This study begins by investigating methodologies used to develop quantify the physical actuation of an IPMC in 3-dimensional space. This approach is taken in …
Traffic Modeling In Lagrangian Coordinates Using Smartphone Apps, Sergio Contreras
Traffic Modeling In Lagrangian Coordinates Using Smartphone Apps, Sergio Contreras
UNLV Theses, Dissertations, Professional Papers, and Capstones
Traditionally, one of the ways traffic flow has been studied is by using the kinematic wave model. This model is derived in the Eulerian framework by using conservation of the number of vehicles. Recently, the kinematic wave model has been transformed into Lagrangian coordinates. In this framework, the independent variables are unique
vehicles and time. The detailed change in framework, and the properties of the model in the changed framework are reviewed. Numerical results from different traffic cases are explained. Since vehicle trajectory data can be easily collected from smartphones,
a smartphone application is developed for this purpose. This data …
Improved Algorithms For Ear-Clipping Triangulation, Bartosz Kajak
Improved Algorithms For Ear-Clipping Triangulation, Bartosz Kajak
UNLV Theses, Dissertations, Professional Papers, and Capstones
We consider the problem of improving ear-slicing algorithm for triangulating a simple polygon. We propose two variations of ear-slicing technique for generating “good-quality” triangulation. The first approach is based on searching for the best triangle along the boundary. The second approach considers polygon partitioning on a pre-process before applying the ear-slicing. Experimental investigation reveals that both approaches yield better quality triangulation than the standard ear-slicing method.
Cyber Physical Complex Networks, Modeling, Analysis, And Control, Neveen Shlayan
Cyber Physical Complex Networks, Modeling, Analysis, And Control, Neveen Shlayan
UNLV Theses, Dissertations, Professional Papers, and Capstones
This research scrutinize various attributes of complex networks; mainly, modeling, sensing, estimation, safety analysis, and control. In this study, formal languages and finite automata are used for modeling incident management processes. Safety properties are checked in order to verify the system. This method introduces a systematic approach to incident management protocols that are governed by mostly unsystematic algorithms. A portion of the used data in this study is collected by means of radar and loop detectors. A weighted t-statistics methodology is developed in order to validate these detectors. The detector data is then used to extract travel time information where …