5,628 research outputs found
Dispersive and diffusive-dispersive shock waves for nonconvex conservation laws
We consider two physically and mathematically distinct regularization
mechanisms of scalar hyperbolic conservation laws. When the flux is convex, the
combination of diffusion and dispersion are known to give rise to monotonic and
oscillatory traveling waves that approximate shock waves. The zero-diffusion
limits of these traveling waves are dynamically expanding dispersive shock
waves (DSWs). A richer set of wave solutions can be found when the flux is
non-convex. This review compares the structure of solutions of Riemann problems
for a conservation law with non-convex, cubic flux regularized by two different
mechanisms: 1) dispersion in the modified Korteweg--de Vries (mKdV) equation;
and 2) a combination of diffusion and dispersion in the mKdV-Burgers equation.
In the first case, the possible dynamics involve two qualitatively different
types of DSWs, rarefaction waves (RWs) and kinks (monotonic fronts). In the
second case, in addition to RWs, there are traveling wave solutions
approximating both classical (Lax) and non-classical (undercompressive) shock
waves. Despite the singular nature of the zero-diffusion limit and rather
differing analytical approaches employed in the descriptions of dispersive and
diffusive-dispersive regularization, the resulting comparison of the two cases
reveals a number of striking parallels. In contrast to the case of convex flux,
the mKdVB to mKdV mapping is not one-to-one. The mKdV kink solution is
identified as an undercompressive DSW. Other prominent features, such as
shock-rarefactions, also find their purely dispersive counterparts involving
special contact DSWs, which exhibit features analogous to contact
discontinuities. This review describes an important link between two major
areas of applied mathematics, hyperbolic conservation laws and nonlinear
dispersive waves.Comment: Revision from v2; 57 pages, 19 figure
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A Search for Temporal Variations in Station Terms in Southern California from 1984 to 2002
We use relative arrival times and locations for similar earthquake pairs that are found using a cross-correlation method to analyze the time dependence of P and S station terms in southern California from 1984 to 2002. We examine 494 similar event clusters recorded by Southern California Seismic Network (SCSN) stations and compute absolute arrival-time variations from the differential arrival-time residuals obtained following event relocation. We compute station terms from the robust means of the absolute arrival-time residuals from all events recorded by each station at 3-month intervals. We observe nine stations with abrupt offsets in timing of 20–70 msec, which are likely caused by equipment changes during our study period. Taking these changes into account could improve the relative location accuracy for some of the event clusters. For other stations, we generally do not see systematic temporal variations greater than about 10 msec. Analysis of residuals along individual ray paths does not reveal any clear localized regions of apparent velocity changes at depth. These results limit large-scale, long-lasting temporal variations in P and S velocities across southern California during this time period to less than about ±0.2%. However, there is an increased fraction of individual travel-time residuals exceeding 20 msec immediately following major earthquakes from source regions near the mainshock rupture
On the simulation of interactive non-verbal behaviour in virtual humans
Development of virtual humans has focused mainly in two broad areas - conversational agents and computer game characters. Computer game characters have traditionally been action-oriented - focused on the game-play - and conversational agents have been focused on sensible/intelligent conversation. While virtual humans have incorporated some form of non-verbal behaviour, this has been quite limited and more importantly not connected or connected very loosely with the behaviour of a real human interacting with the virtual human - due to a lack of sensor data and no system to respond to that data. The interactional aspect of non-verbal behaviour is highly important in human-human interactions and previous research has demonstrated that people treat media (and therefore virtual humans) as real people, and so interactive non-verbal behaviour is also important in the development of virtual humans. This paper presents the challenges in creating virtual humans that are non-verbally interactive and drawing corollaries with the development history of control systems in robotics presents some approaches to solving these challenges - specifically using behaviour based systems - and shows how an order of magnitude increase in response time of virtual humans in conversation can be obtained and that the development of rapidly responding non-verbal behaviours can start with just a few behaviours with more behaviours added without difficulty later in development
Combustion of liquid sprays at high pressures
The combustion of pressure atomized fuel sprays in high pressure stagnant air was studied. Measurements were made of flame and spray boundaries at pressures in the range 0.1-9 MPa for methanol and n-pentane. At the higher test pressure levels, critical phenomena are important. The experiments are compared with theoretical predictions based on a locally homogeneous two-phase flow model. The theory correctly predicted the trends of the data, but underestimates flame and spray boundaries by 30-50 percent, indicating that slip is still important for the present experiments (Sauter mean diameters of 30 microns at atmospheric pressure under cold flow conditions). Since the sprays are shorter at high pressures, slip effects are still important even though the density ratio of the phases approach one another as the droplets heat up. The model indicates the presence of a region where condensed water is present within the spray and provides a convenient means of treating supercritical phenomena
Constrained Model Predictive Control of a Nonlinear Aerospace System
Recent research efforts have applied the receding horizon Model Predictive Control (MPC) strategy to linearized high performance aerospace systems. The research contained in this thesis used these recent results in order to apply the MPC strategy to a nonlinear high performance aerospace system, specifically an F-16 fighter aircraft model. The model was commanded to follow dynamic trajectories of roll angle and altitude. Further, adaptive constraint techniques were used to improve system tracking. To accomplish these tasks, code and block diagrams were generated using the commercial software packages of Matlab and Simulink. Numerous simulations were conducted with the goal of achieving realistic aircraft performance. In many cases, to improve system tracking and reduce control input oscillations, rigid mathematical constraints previously used in the MPC strategy were relaxed
Studies in Crystal Structure. Part I: alpha-Ethynylacetic Acid. Part II: n-Hexatriacontane
The first part of this thesis describes an investigation, by X-ray methods, of ethynylacetic acid (prop-2-yne-1-carboxylic acid). The acid was found to exist in two crystal forms and one of these - the alpha-form - was studied in some detail. The dimensions of the two crystallographically independent molecules in the unit cell were obtained from projections along two of the cell axes and more accurate values of the molecular parameters were found by a process of averaging. An attempt was then made to determine the nature of the acetylenic carbon-hydrogen bond at the end of the molecular chain, Part 2 describes an investigation of the monoclinic form of n-hexatriacontane. The signs of the reflecting planes in two of the lattice zones were obtained by means of sub-cell theory and the molecular structure was determined from projections down two of the cell axes. By assuming a regular repetition along the hydrocarbon chain, the molecular dimensions were determined with greater accuracy
Communications skills for CRM training
A pilot training program in communication skills, listening, conflict solving, and task orientation, for a small but growing commuter airline is discussed. The interactions between pilots and management, and communication among crew members are examined. Methods for improvement of cockpit behavior management personnel relations are investigated
The Morphology and Evolution of the Primate Brachial Plexus
Primate evolutionary history is inexorably linked to the evolution of a broad array of locomotor adaptations that have facilitated the clade’s invasion of new niches. Researchers studying the evolution of primates and of their individual locomotor adaptations have traditionally relied on bony morphology – a practical choice given the virtual non-existence of any other type of tissue in the fossil record. However, this focus downplays the potential importance of the many other structures involved in locomotion, such as muscle, cartilage, and neural tissue, which may each be influenced by separate selective forces because of their different roles in facilitating movement. This dissertation is an investigation into the evolution of primate anatomy with an emphasis on the peripheral nervous system, particularly that of the brachial plexus, its intraspecific patterning, and its interactions with muscle in relation to changes in locomotion across clades. As the primate nervous system directs voluntary motor movement to the limbs, thereby facilitating locomotion, its morphology may be expected to vary with primate locomotor proclivities and/or limb anatomy. This prediction has not been explicitly tested. The anatomy of the peripheral nervous system was studied using a comparative approach both within 29 genera of primates and among non-primate clades via extensive primary dissection and a broad literature search in order to better understand its evolution. Data on spinal nerve level contributions, axon combination and branching morphology, nerve distribution pattern, and neural relationships with other soft tissues are detailed with photographs and standardized descriptions for 79 specimens and 123 individual plexuses. 99 characters generated from observations made during dissection were then analyzed using a parsimony-based phylogenetics approach to evaluate the evolutionary patterns presented by the brachial plexus in primates. The phylogenies generated with the brachial plexus characters did not perfectly mirror commonly accepted primate phylogenies, suggesting that while there is some evolutionary signal contained in the plexus, its morphology may also be influenced by forelimb function. As robust hypotheses exist regarding extant primate phylogenetic relationships and evolutionary histories, character evolution was mapped onto existing molecular trees to better understand how the individual structures that comprise the brachial plexus may evolve independently or in concert at different taxonomic levels. The rate of brachial plexus evolution in clades and leaf taxa was then assessed, demonstrating a marked heterogeneity in the structure both within and among clades. Taxa that have undergone recent locomotor shifts since divergence from their most recent common ancestor, and particularly those who exhibit some amount of suspensory behaviors, exhibit the highest rates of evolution observed here. Notably, several ape genera exhibit brachial plexus evolutionary rates significantly higher than the primate mean, running counter to the notion that hominoids have undergone an evolutionary slowdown relative to other primates.
As the true unit of homology in the peripheral nervous system is a subject of ongoing debate, several levels of discussion are necessary to understand the variation in primates and their place in the broader spectrum of tetrapod diversity. Macroanatomy, microanatomy, development, and comparative anatomy are explored in a broad context to evaluate the evolutionary trends of the primate peripheral nervous system and are discussed in detail
X-HALE: Designing the Atmospheric Surveillance Platforms of the Future
Imagine the benefits that battlefield commanders or intelligence analysts could derive from an airborne surveillance platform that would carry a 500-pound payload, operate above the range of small arms fire, remain on station for weeks or even years, cost much less than a satellite, and relocate around the globe to a new region of interest within a couple of weeks. Realizing this concept, known as a high-altitude, long-endurance HALE aircraft, is a 10-to-15-year goal of researchers at the Air Force Institute of Technology AFIT. In order to reach this goal, those researchers are following a developmental path similar to the one the Wright brothers used over a century ago by gathering new test data and building theoretical formulations for this aircraft. The brothers discovery that the existing aeronautical data of the day was inaccurate proved key to their success. Indeed, Wilbur Wright even wrote that having set out with absolute faith in the existing scientific data, we were driven to doubt one thing after another, until finally, after two years of experiment, we cast it all aside, and decided to rely entirely upon our own investigations
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