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Stability improvement of the one-dimensional two-fluid model for horizontal two-phase flow with model unificationAbel, Kent C. 25 August 2005 (has links)
The next generation of nuclear safety analysis computer codes will require detailed
modeling of two-phase fluid flow. The most complete and fundamental model used for
these calculations is known as the two-fluid model. It is the most accurate of the two-phase
models since it considers each phase independently and links the two phases
together with six conservation equations.
A major drawback is that the current two-fluid model, when area-averaged to
create a one-dimensional model, becomes ill-posed as an initial value problem when
the gas and liquid velocities are not equal. The importance of this research lies in
obtaining a model that overcomes this difficulty. It is desired to develop a modified
one-dimensional two-fluid model for horizontal flow that accounts for the pressure
difference between the two phases, due to hydrostatic head, with the implementation
of a void fraction distribution parameter. With proper improvement of the one-dimensional
two-fluid model, the next generation of nuclear safety analysis computer
codes will be able to predict, with greater precision, the key safety parameters of an
accident scenario.
As part of this research, an improved version of the one-dimensional two-fluid
model for horizontal flows was developed. The model was developed from a
theoretical point of view with the three original distribution parameters simplified
down to a single parameter. The model was found to greatly enhance the numerical
stability (hyperbolicity) of the solution method. With proper modeling of the phase
distribution parameter, a wide range of flow regimes can be modeled. This parameter
could also be used in the future to eliminate the more subjective flow regime maps that
are currently implemented in today's multiphase computer codes. By incorporating the
distribution parameter and eliminating the flow regime maps, a hyperbolic model is
formed with smooth transitions between various flow regimes, eliminating the
unphysical oscillations that may occur near transition boundaries in today's
multiphase computer codes. / Graduation date:2006
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The development of pedestrian flow modelWong, Chung-yin, Philip., 黃仲賢. January 2011 (has links)
This dissertation reported on the findings of the characteristics of the pedestrian
flows in Chinese New Year Eve Fair in Hong Kong and, the recommendations to its
crowd control measures. Since most of the pedestrian flow models were developed
for general purposes under normal condition, special models developed specifically
for major events such as bazaars, fairs and festivals in Hong Kong were required to
understand their pedestrian flow patterns. In this dissertation, pedestrian flows in the
Fair were videotaped and data was extracted for calibrating several pedestrian flow
models. These included the conventional models developed by Greenshields,
Greenberg, Pipes-Munjal, Underwood, Drake, Wong et al. and four modifications of
these models for simulating isotropic and bi-directional pedestrian flow scenarios.
The free flow speed of the pedestrians in the Chinese New Year Eve Fair was found
to be around 0.69-0.84 m/s, slower than those identified in other researches. Besides,
the results of these models showed the relationships between walking speed, density
and flow of the pedestrians in the Fair. Also, the effects of bi-directional flow to
pedestrian flows were assessed and quantified. These findings obtained from models
were then used as a basis for formulating crowd control strategy of major events in
Hong Kong. / published_or_final_version / Transport Policy and Planning / Master / Master of Arts in Transport Policy and Planning
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Observational studies of pedestrian flowsXie, Siqi., 谢思琪. January 2012 (has links)
Walking is an environmentally friendly mode of transportation. A better understanding of pedestrian activities and effective planning of walking facilities are particularly important for densely populated Asian cities like Hong Kong. Empirical studies on pedestrian flows can be classified as controlled experiments and observational surveys. Controlled experiments are flexible and can be designed to fulfill the requirements of specific studies and eliminate influence from unrelated factors. Observational surveys provide data for pedestrian movements in different types of walking facilities. This thesis aims to develop a mathematical model for multidirectional pedestrian flows based on knowledge obtained from both a controlled experiment and observational surveys on three different walking facilities. Bayesian inference is adopted for model calibration, as it can combine the prior information from the controlled experiment and the observed data from the observational surveys.
The proposed model is based on Drake’s (1967) model of traffic flow. However, multidirectional pedestrian flows are much more complicated than the unidirectional and bidirectional flows. Therefore, instead of relating the speed of a pedestrian stream solely to pedestrian density, the flow ratio and intersecting angles between streams are introduced as factors that may influence stream speed. The proposed model takes the form of a set of structural equations rather than a single deterministic function.
By applying Bayesian inference, the proposed model is calibrated with the three sets of observed data respectively, based on the prior distribution specified by the controlled experiment results. Finally, pedestrian movements in three different walking facilities are analyzed based on the properties of the calibrated model. / published_or_final_version / Civil Engineering / Master / Master of Philosophy
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History matching by simultaneous calibration of flow functionsBarrera, Alvaro Enrique, 1974- 28 August 2008 (has links)
Reliable predictions of reservoir flow response corresponding to various recovery schemes require a realistic geological model of heterogeneity and an understanding of its relationship with the flow properties. This dissertation presents results on the implementation of a novel approach for the integration of dynamic data into reservoir models that combines stochastic techniques for simultaneous calibration of geological models and multiphase flow functions associated with porelevel spatial representations of porous media. In this probabilistic approach, a stochastic simulator is used to model the spatial distribution of a discrete number of rock types identified by rock/connectivity indexes (CIs). Each CI corresponds to a particular pore network structure with a characteristic connectivity. Primary drainage and imbibition displacement processes are modeled on the 3-D pore networks to generate multiphase flow functions corresponding to networks with different CIs. During history matching, the stochastic simulator perturbs the spatial distribution of the CIs to match the simulated pressures and flow rates to historic data, while preserving the geological model of heterogeneity. This goal is accomplished by applying a probabilistic approach for gradual deformation of spatial distribution of rock types characterized by different CIs. Perturbation of the CIs in turn results in the update of all the flow functions including the effective permeability, porosity of the rock, the relative permeabilities and capillary pressure. The convergence rate of the proposed method is comparable to other current techniques with the distinction of enabling consistent updates to all the flow functions. The resultant models are geologically consistent in terms of all the flow functions, and consequently, predictions obtained using these models are likely to be more accurate. To compare and contrast this comprehensive approach to reservoir modeling against other approaches that rely on modeling and perturbing only the permeability field, a realistic case study is presented with implementation of both approaches. Comparison is made with the history-matched model obtained only by perturbing permeability. It is argued that reliable predictions of future production can only be made when the entire suite of flow functions is consistent with the real reservoir.
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Application of finite-difference methods to steady-state advectionMolenkamp, Charles Richard, 1941- January 1967 (has links)
No description available.
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Evaluation of change interval policiesFox, Thomas Charles, 1960- January 1989 (has links)
An intensive examination was conducted to test the credibility of current traffic signal change interval policies founded on a kinematic equation developed nearly 30 years ago. The investigation involved the review of relevant literature as well as an extensive collection of data. The literature review and data analysis revealed that current change interval policies rely on the disproven assumption that traffic decelerates at a constant rate. The data analysis also demonstrated that traffic approach speed and deceleration distance affect the manner in which deceleration occurs. Based on the data analysis, an alternative treatment of the kinematic equation is proposed using surrogate deceleration rates. The surrogate rates offer a pragmatic set of input for the kinematic equation. Therefore, rather than yielding a change interval based on an inaccurate assumption, agencies can implement change intervals which are responsive to local traffic.
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Analysis of Borehole Infiltration Tests Above the Water TableStephens, Daniel Bruce, Neuman, Shlomo P. 03 1900 (has links)
Project Completion Report OWRT Project A- 076 -ARIZ
The work upon which this publication is based was
supported in part by the United States Department
of the Interior as authorized under the Water
Research Act of 1964, as amended. / Constant head borehole infiltration tests are widely used for the in
situ evaluation of saturated hydraulic conductivities of unsaturated soils
above the water table. The formulae employed in analyzing the results of
such tests disregard the fact that some of the infiltrating water may flow
under unsaturated conditions. Instead, these formulae are based on various
approximations of the classical free surface theory which treats the flow
region as if it were fully saturated and enclosed within a distinct envelope,
the so- called "free surface." A finite element model capable of solving
free surface problems is used to examine the mathematical accuracy of the
borehole infiltration formulae. The results show that in the hypothetical
case where unsaturated flow does not exist, the approximate formulae are
reasonably accurate within a practical range of borehole conditions. To
see what happens under conditions closer to those actually encountered in
the field, the effect of unsaturated flow on borehole infiltration is investigated
by means of two different numerical models: A mixed explicit -
implicit finite element model, and a mixed explicit -implicit integrated
finite difference model. Both of these models give nearly identical results;
however, the integrated finite difference model is considerably faster than
the finite element model. The relatively low computational efficiency of
the finite element scheme is attributed to the large humber of operations
required in order to reevaluate the conductivity (stiffness) matrix at each
iteration in this highly nonlinear saturated -unsaturated flow problem. The
saturated -unsaturated analysis demonstrates that the classical free surface
approach provides a distorted picture of the flow pattern in the soil. Contrary to what one would expect on the basis of this theory, only a
finite region of the soil in the immediate vicinity of the borehole is
saturated, whereas a significant percentage of the flow takes place under
unsaturated conditions. As a consequence of disregarding unsaturated flow,
the available formulae may underestimate the saturated hydraulic conductivity
of fine grained soils by a factor of two, three, or more. Our
saturated -unsaturated analysis leads to an improved design of borehole infiltration
tests and a more accurate method for interpreting the results of
such tests. The analysis also shows how one can predict the steady state
rate of infiltration as well as the saturated hydraulic conductivity from
data collected during the early transient period of the test.
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Numerical studies on a few cellular automation traffic modelsLau, Chi-yung, 劉智勇 January 2002 (has links)
published_or_final_version / Physics / Master / Master of Philosophy
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Modeling and dynamic routing for traffic flow through multi-agent systemZhou, Ji Zhe January 2018 (has links)
University of Macau / Faculty of Science and Technology. / Department of Computer and Information Science
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Studies on the minority game and traffic flow models.January 2002 (has links)
Lee Kuen. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2002. / Includes bibliographical references (leaves 123-128). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- The Minority Game: A Review --- p.3 / Chapter 2.1 --- The basic MG --- p.9 / Chapter 2.2 --- The basic features of MG --- p.11 / Chapter 2.3 --- Crowd-Anticrowd Theory --- p.15 / Chapter 2.4 --- Some variation on the Minority Game --- p.20 / Chapter 2.4.1 --- The Thermal Minority Game (TMG) --- p.20 / Chapter 2.4.2 --- The Evolutionary Minority Game (EMG) --- p.21 / Chapter 3 --- The Minority Game with different payoff functions --- p.23 / Chapter 3.1 --- Review --- p.24 / Chapter 3.1.1 --- Models of Savit et al [48] --- p.24 / Chapter 3.1.2 --- Results --- p.25 / Chapter 3.2 --- Applying Crowd-anticrowd theory to the models --- p.27 / Chapter 4 --- The Minority Game with k-sided imitation in regular net- works --- p.33 / Chapter 4.1 --- Review --- p.34 / Chapter 4.1.1 --- 1-sided follow-action model --- p.34 / Chapter 4.1.2 --- Results --- p.36 / Chapter 4.2 --- Follow-action model --- p.37 / Chapter 4.2.1 --- 2-sided model --- p.37 / Chapter 4.2.2 --- Results --- p.38 / Chapter 4.2.3 --- k-sided model and results --- p.40 / Chapter 4.3 --- Follow-strategy model --- p.43 / Chapter 4.3.1 --- 1-sided and 2-sided models --- p.43 / Chapter 4.3.2 --- Results --- p.45 / Chapter 4.3.3 --- k-sided model and results --- p.47 / Chapter 4.4 --- Summary --- p.51 / Chapter 5 --- One-lane traffic flow models --- p.53 / Chapter 5.1 --- Introduction --- p.54 / Chapter 5.2 --- NS dynamics --- p.56 / Chapter 5.3 --- FI dynamics --- p.60 / Chapter 6 --- One-lane traffic flow models with anticipation effects --- p.63 / Chapter 6.1 --- Review --- p.64 / Chapter 6.1.1 --- Model using NS dynamics --- p.64 / Chapter 6.1.2 --- Results --- p.65 / Chapter 6.2 --- Models using FI dynamics --- p.65 / Chapter 6.2.1 --- Models --- p.65 / Chapter 6.2.2 --- Results and Discussion --- p.68 / Chapter 6.2.3 --- Mean Field Theory --- p.76 / Chapter 6.3 --- Summary --- p.89 / Chapter 7 --- Two-route Models with Global Information --- p.91 / Chapter 7.1 --- Review: Two-route model with global information using NS dynamics --- p.92 / Chapter 7.1.1 --- Announcing transit time as global information --- p.92 / Chapter 7.1.2 --- Results --- p.93 / Chapter 7.2 --- Announcing instantaneous average speed model using NS dy- namics [87] --- p.95 / Chapter 7.2.1 --- Model --- p.95 / Chapter 7.2.2 --- Results --- p.95 / Chapter 7.2.3 --- Discussion --- p.99 / Chapter 7.3 --- Two-route models with global information using FI dynamics --- p.103 / Chapter 7.3.1 --- Models --- p.103 / Chapter 7.3.2 --- Results --- p.105 / Chapter 7.3.3 --- Discussion --- p.110 / Chapter 7.4 --- Summary --- p.120 / Chapter 8 --- Conclusion --- p.121 / Bibliography --- p.123
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