Aerospace Engineering Research Workshttp://hdl.handle.net/1903/16552022-08-14T01:36:43Z2022-08-14T01:36:43ZSimulation of Forced Korteweg De Vries Equation as Applied to Small Orbital DebrisTruitt, Alexishttp://hdl.handle.net/1903/290832022-08-03T07:45:33Z2020-01-01T00:00:00ZSimulation of Forced Korteweg De Vries Equation as Applied to Small Orbital Debris
Truitt, Alexis
Sub-centimeter orbital debris is currently undetectable using ground-based radar and
optical methods. However, pits in Space Shuttle windows produced by paint chips
demonstrate that small debris can cause serious damage to spacecraft. Recent analytical,
computational and experimental work has shown that charged objects moving quickly
through a plasma will cause the formation of plasma density solitary waves, or solitons.
Due to their exposure to the solar wind plasma environment, even the smallest space
debris will be charged. Depending on the debris size, charge and velocity, debris may
produce plasma solitons that propagate along the debris velocity vector and could be
detected with existing sensor technology.
This code uses the Chan & Kerkhoven pseudospectral method to solve the Forced
Korteweg-de Vries equation to simulate solitons that may be produced by mm-cm scale
orbital debris, as a function of the debrisâ€™ size, velocity, and location (altitude, latitude,
longitude) about Earth. The Damped Forced Korteweg-de Vries equation is solved to
calculate the damping rate of the solitons, and estimate the resulting soliton propagation
distance. Finally, the Damped Forced Kadomtsev-Petviashvili Equation is solved to
simulate transverse solitonic perturbations across the width of the debris.
2020-01-01T00:00:00ZAnelastic Behavior in Filled Elastomers Under Harmonic Loading Using Distributed Rate-Dependent Elasto-Slide ElementsHu, WeiWereley, Norman M.http://hdl.handle.net/1903/144782016-03-29T10:58:34Z2012-09-12T00:00:00ZAnelastic Behavior in Filled Elastomers Under Harmonic Loading Using Distributed Rate-Dependent Elasto-Slide Elements
Hu, Wei; Wereley, Norman M.
2012-09-12T00:00:00ZImpact of Nanowires on the Properties of Magnetorheological Fluids and Elastomer CompositesBell, Richard C.Zimmerman, Darin T.Wereley, Norman M.http://hdl.handle.net/1903/144312016-03-29T10:49:36Z2010-02-01T00:00:00ZImpact of Nanowires on the Properties of Magnetorheological Fluids and Elastomer Composites
Bell, Richard C.; Zimmerman, Darin T.; Wereley, Norman M.
2010-02-01T00:00:00ZEvaluation of Particle Clustering Algorithms in the Prediction of Brownout Dust CloudsGovindarajan, Bharathhttp://hdl.handle.net/1903/118462016-03-29T03:15:11Z2011-08-01T00:00:00ZEvaluation of Particle Clustering Algorithms in the Prediction of Brownout Dust Clouds
Govindarajan, Bharath
A study of three Lagrangian particle clustering methods has been conducted with application to the problem of predicting brownout dust clouds that develop when rotorcraft land over surfaces covered with loose sediment. A significant impediment in performing such particle modeling simulations is the extremely large number of particles needed to obtain dust clouds of acceptable fidelity. Computing the motion of each and every individual sediment particle in a dust cloud (which can reach into tens of billions per cubic meter) is computationally prohibitive. The reported work involved the development of computationally efficient clustering algorithms that can be applied to the simulation of dilute gas-particle suspensions at low Reynolds numbers of the relative particle motion. The Gaussian distribution, k-means and Osiptsov's clustering methods were studied in detail to highlight the nuances of each method for a prototypical flow field that mimics the highly unsteady, two-phase vortical particle flow obtained when rotorcraft encounter brownout conditions. It is shown that although clustering algorithms can be problem dependent and have bounds of applicability, they offer the potential to significantly reduce computational costs while retaining the overall accuracy of a brownout dust cloud solution.
2011-08-01T00:00:00Z