Assessment of conditional moment closure models of turbulent autoignition using DNS data

A systematic assessment of the submodels of conditional moment closure (CMC) formalism for the autoignition problem is carried out using direct numerical simulation (DNS) data. An initially non-premixed, n-heptane/air system, subjected to a three-dimensional, homogeneous, isotropic, and decaying turbulence, is considered. Two kinetic schemes, (1) a one-step and (2) a reduced four-step reaction mechanism, are considered for chemistry An alternative formulation is developed for closure of the mean chemical source term , based on the condition that the instantaneous fluctuation of excess temperature is small. With this model, it is shown that the CMC equations describe the autoignition process all the way up to near the equilibrium limit. The effect of second-order terms (namely, conditional variance of temperature excess sigma(2) and conditional correlations of species q(ij)) in modeling is examined. Comparison with DNS data shows that sigma(2) has little effect on the predicted conditional mean temperature evolution, if the average conditional scalar dissipation rate is properly modeled. Using DNS data, a correction factor is introduced in the modeling of nonlinear terms to include the effect of species fluctuations. Computations including such a correction factor show that the species conditional correlations q(ij) have little effect on model predictions with a one-step reaction, but those q(ij) involving intermediate species are found to be crucial when four-step reduced kinetics is considered. The "most reactive mixture fraction" is found to vary with time when a four-step kinetics is considered. First-order CMC results are found to be qualitatively wrong if the conditional mean scalar dissipation rate is not modeled properly. The autoignition delay time predicted by the CMC model compares excellently with DNS results and shows a trend similar to experimental data over a range of initial temperatures.

An adaptive cascade compensator for a wide class of stable minimum or nonminimum phase plants through time moment estimation

Model Reference Adaptive Control (MRAC) of a wide repertoire of stable Linear Time Invariant (LTI) systems is addressed here. Even an upper bound on the order of the finite-dimensional system is unavailable. Further, the unknown plant is permitted to have both minimum phase and nonminimum phase zeros. Model following with reference to a completely specified reference model excited by a class of piecewise continuous bounded signals is the goal. The problem is approached by taking recourse to the time moments representation of an LTI system. The treatment here is confined to Single-Input Single-Output (SISO) systems. The adaptive controller is built upon an on-line scheme for time moment estimation of a system given no more than its input and output. As a first step, a cascade compensator is devised. The primary contribution lies in developing a unified framework to eventually address with more finesse the problem of adaptive control of a large family of plants allowed to be minimum or nonminimum phase. Thus, the scheme presented in this paper is confined to lay the basis for more refined compensators-cascade, feedback and both-initially for SISO systems and progressively for Multi-Input Multi-Output (MIMO) systems. Simulations are presented.

A Variant of the Hadwiger-Debrunner (p, q)-Problem in the Plane

Let X be a convex curve in the plane (say, the unit circle), and let be a family of planar convex bodies such that every two of them meet at a point of X. Then has a transversal of size at most . Suppose instead that only satisfies the following ``(p, 2)-condition'': Among every p elements of , there are two that meet at a common point of X. Then has a transversal of size . For comparison, the best known bound for the Hadwiger-Debrunner (p, q)-problem in the plane, with , is . Our result generalizes appropriately for if is, for example, the moment curve.

Shallow Water Model On Cubed-Sphere By Multi-Moment Finite Volume Method

A global numerical model for shallow water flows on the cubed-sphere grid is proposed in this paper. The model is constructed by using the constrained interpolation profile/multi-moment finite volume method (CIP/MM FVM). Two kinds of moments, i.e. the point value (PV) and the volume-integrated average (VIA) are defined and independently updated in the present model by different numerical formulations. The Lax-Friedrichs upwind splitting is used to update the PV moment in terms of a derivative Riemann problem, and a finite volume formulation derived by integrating the governing equations over each mesh element is used to predict the VIA moment. The cubed-sphere grid is applied to get around the polar singularity and to obtain uniform grid spacing for a spherical geometry. Highly localized reconstruction in CIP/MM FVM is well suited for the cubed-sphere grid, especially in dealing with the discontinuity in the coordinates between different patches. The mass conservation is completely achieved over the whole globe. The numerical model has been verified by Williamson's standard test set for shallow water equation model on sphere. The results reveal that the present model is competitive to most existing ones. (C) 2008 Elsevier Inc. All rights reserved.

I. The effect of droplet solidification upon two-phase flow in a rocket nozzle. II. A kinetic theory investigation of some condensation-evaporation phenomena by a moment method

Part I:

The perturbation technique developed by Rannie and Marble is used to study the effect of droplet solidification upon two-phase flow in a rocket nozzle. It is shown that under certain conditions an equilibrium flow exists, where the gas and particle phases have the same velocity and temperature at each section of the nozzle. The flow is divided into three regions: the first region, where the particles are all in the form of liquid droplets; a second region, over which the droplets solidify at constant freezing temperature; and a third region, where the particles are all solid. By a perturbation about the equilibrium flow, a solution is obtained for small particle slip velocities using the Stokes drag law and the corresponding approximation for heat transfer between the particle and gas phases. Singular perturbation procedure is required to handle the problem at points where solidification first starts and where it is complete. The effects of solidification are noticeable.

Part II:

When a liquid surface, in contact with only its pure vapor, is not in the thermodynamic equilibrium with it, a net condensation or evaporation of fluid occurs. This phenomenon is studied from a kinetic theory viewpoint by means of moment method developed by Lees. The evaporation-condensation rate is calculated for a spherical droplet and for a liquid sheet, when the temperatures and pressures are not too far removed from their equilibrium values. The solutions are valid for the whole range of Knudsen numbers from the free molecule to the continuum limit. In the continuum limit, the mass flux rate is proportional to the pressure difference alone.

A kinetic theory description for external spherical flows with arbitrary Knudsen number by a moment method

The Maxwell integral equations of transfer are applied to a series of problems involving flows of arbitrary density gases about spheres. As suggested by Lees a two sided Maxwellian-like weighting function containing a number of free parameters is utilized and a sufficient number of partial differential moment equations is used to determine these parameters. Maxwell's inverse fifth-power force law is used to simplify the evaluation of the collision integrals appearing in the moment equations. All flow quantities are then determined by integration of the weighting function which results from the solution of the differential moment system. Three problems are treated: the heat-flux from a slightly heated sphere at rest in an infinite gas; the velocity field and drag of a slowly moving sphere in an unbounded space; the velocity field and drag torque on a slowly rotating sphere. Solutions to the third problem are found to both first and second-order in surface Mach number with the secondary centrifugal fan motion being of particular interest. Singular aspects of the moment method are encountered in the last two problems and an asymptotic study of these difficulties leads to a formal criterion for a "well posed" moment system. The previously unanswered question of just how many moments must be used in a specific problem is now clarified to a great extent.

Ultimate strength of bolted moment-connections between cold-formed steel members

The behaviour and design of bolted moment-connections between cold-formed steel members, formed by using brackets bolted to the webs of the section, is considered. The particular problem of the moment-capacity of such joints being lower than that of the cold-formed steel sections being connected because of web buckling, caused by the concentration of load transfer from the bolts, is addressed. In this paper, a combination of laboratory tests and finite element analyses is used to investigate this mode of failure. It is demonstrated that there is good agreement between the measured ultimate moment-capacity and that predicted by using the finite element method. A parametric study conducted using the finite element model shows that the moment-capacity of a practical size joint can be up to 20% lower than that of the cold-formed steel sections being connected. Web buckling so-caused must therefore be considered in the design of such connections. (C) 2003 Elsevier Ltd. All rights reserved.

L’expérience vécue à domicile par les conjointes de partenaires atteints de la démence de type Alzheimer au moment des soins d’hygiène

Suite à une recension des écrits sur les soins d’hygiène des personnes atteintes de démence de type Alzheimer (DTA), force est de constater la rareté, voire l’absence de recherches sur la question des soins d’hygiène (SH) dispensés à domicile par les conjointes. Pourtant, la conjointe à domicile est confrontée aux mêmes difficultés que les intervenants des établissements de santé et doit ainsi faire face aux comportements, parfois difficiles de la personne atteinte. Dans la pratique, les infirmières questionnent peu les difficultés rencontrées par les aidantes au moment des soins d’hygiène, ce qui permet difficilement de prendre conscience de leurs sentiments d’isolement et de détresse et de les réduire, le cas échéant. Pour pallier cette lacune, la présente recherche vise à comprendre l’expérience que vivent des conjointes d’hommes atteints de DTA lorsqu’elles leur dispensent des SH à domicile. Un second objectif vise à identifier les dimensions qui sont associées à cette expérience. Une approche de recherche qualitative est utilisée. Les participantes ont été recrutées par l’entremise des Sociétés Alzheimer de Laval et des Laurentides. La stratégie de collecte des données a impliqué la réalisation de deux entrevues individuelles, face à face, de même que l’administration d’un court questionnaire portant sur les aspects sociodémographiques. La démarche retenue pour l’analyse de l’ensemble de données est inspirée de l’approche proposée par Miles et Huberman (2003). Les résultats permettent d’abord de mettre en évidence des profils de conjointes qui, tout en étant variables, présentent certaines similarités. Eu égard aux SH, toutes ont à consacrer des efforts soutenus, quotidiens et intenses. Elles doivent faire montre de patience et compter sur des capacités personnelles les amenant à ressentir des sentiments positifs malgré les situations difficiles. Les résultats montrent par ailleurs que la dispensation des SH provoque aussi des sentiments négatifs associés au fardeau que ces soins impliquent. Les conjointes mettent toutefois en œuvre une variété de stratégies d’adaptation au stress telles la résolution de problème, la recherche de soutien social et le recadrage. Cinq ensembles de dimensions personnelles et contextuelles sont associés à l’expérience des aidantes : 1) En ce qui a trait aux caractéristiques personnelles des conjointes, l’avancement en âge et l’état de santé physique ou psychologique influencent négativement l’expérience lors des SH. Par contre, les ressources personnelles intrinsèques (acceptation de la réalité, capacité de trouver un sens à l’évènement, habileté à improviser et sens de l’humour) sont utilisées de manière naturelle ou acquise; 2) Les caractéristiques personnelles du conjoint (année du diagnostic, pertes d’autonomie et troubles de comportement) affectent négativement l’expérience vécue; 3) La relation conjugale présente un intérêt important puisqu’il apparaît qu’une relation conjugale pré-diagnostic positive semble favoriser des sentiments positifs chez la conjointe en ce qui a trait aux SH; 4) Les dimensions familiales ont un impact favorable, étant donné le soutien psychologique reçu de la famille; 5) Les dimensions macro-environnementales, incluant l’aide reçue du réseau informel plus large de même que du réseau formel, ainsi que les divers aménagements matériels de l’environnement physique du couple, ressortent enfin comme ayant un impact positif. Au terme de l’analyse des résultats, l’auteure est en mesure de proposer une synthèse de l’expérience des conjointes. La discussion aborde quatre enjeux qui se dégagent des résultats observés : impacts des difficultés rencontrées lors des SH dans la décision d’hébergement, réticence des aidantes à faire appel aux ressources du réseau formel pour obtenir de l’aide eu égard aux SH, importance des ressources personnelles des aidantes et potentiel de l’approche relationnelle humaine (human caring) pour faire face aux défis que pose la dispensation des SH.

Constructing a ‘moment of crisis’ and its adequate solution

The rejection of the European Constitution marks an important crystallization point for debate about the European Union (EU) and the integration process. The European Constitution was envisaged as the founding document of a renewed and enlarged European Union and thus it was rather assumed to find wide public support. Its rejection was not anticipated. The negative referenda in France and the Netherlands therefore led to a controversial debate about the more fundamental meaning and the consequences of the rejection both for the immediate state of affairs as well as for the further integration process. The rejection of the Constitution and the controversy about its correct interpretation therefore present an intriguing puzzle for political analysis. Although the treaty rejection was taken up widely in the field of European Studies, the focus of existing analyses has predominantly been on explaining why the current situation occurred. Underlying these approaches is the premise that by establishing the reasons for the rejection it is possible to derive the ‘true’ meaning of the event for the EU integration process. In my paper I rely on an alternative, discourse theoretical approach which aims to overcome the positivist perspective dominating the existing analyses. I argue that the meaning of the event ‘treaty rejection’ is not fixed or inherent to it but discursively constructed. The critical assessment of this concrete meaning-production is of high relevance as the specific meaning attributed to the treaty rejection effectively constrains the scope for supposedly ‘reasonable’ options for action, both in the concrete situation and in the further European integration process more generally. I will argue that the overall framing suggests a fundamental technocratic approach to governance from part of the Commission. Political struggle and public deliberation is no longer foreseen as the concrete solutions to the citizens’ general concerns are designed by supposedly apolitical experts. Through the communicative diffusion and the active implementation of this particular model of governance the Commission shapes the future integration process in a more substantial way than is obvious from its seemingly limited immediate problem-solving orientation of overcoming the ‘constitutional crisis’. As the European Commission is a central actor in the discourse production my analysis focuses on the specific interpretation of the situation put forward by the Commission. In order to work out the Commission’s particular take on the event I conducted a frame analysis (according to Benford/Snow) on a body of key sources produced in the context of coping with the treaty rejection.

First order k-th moment finite element analysis of nonlinear operator equations with stochastic data

We develop and analyze a class of efficient Galerkin approximation methods for uncertainty quantification of nonlinear operator equations. The algorithms are based on sparse Galerkin discretizations of tensorized linearizations at nominal parameters. Specifically, we consider abstract, nonlinear, parametric operator equations J(\alpha ,u)=0 for random input \alpha (\omega ) with almost sure realizations in a neighborhood of a nominal input parameter \alpha _0. Under some structural assumptions on the parameter dependence, we prove existence and uniqueness of a random solution, u(\omega ) = S(\alpha (\omega )). We derive a multilinear, tensorized operator equation for the deterministic computation of k-th order statistical moments of the random solution's fluctuations u(\omega ) - S(\alpha _0). We introduce and analyse sparse tensor Galerkin discretization schemes for the efficient, deterministic computation of the k-th statistical moment equation. We prove a shift theorem for the k-point correlation equation in anisotropic smoothness scales and deduce that sparse tensor Galerkin discretizations of this equation converge in accuracy vs. complexity which equals, up to logarithmic terms, that of the Galerkin discretization of a single instance of the mean field problem. We illustrate the abstract theory for nonstationary diffusion problems in random domains.

The spin-orbit resonant problem including core-mantle gravitational coupling

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Evaluation of the effects of insertion of viscous dampers in Moment Resisting Frames

This research work faces the problem of insertion of viscous dampers into Moment Resisiting Frames (MRF) for maximum efficiency in mitigation of the seismic effects. The work would lead to a precise design indication. The fundamental result of the thesis consists in showing that, even for moment-resisting structures, you can design a system of added viscous dampers able to achieve target levels of performances. Ie given the reduction factor in the seismic response, discover the characteristics of the viscous dampers which allow to achieve it.

Comment on "From geodesics of the multipole solutions to the perturbed Kepler problem"

In this Comment we explain the discrepancies mentioned by the authors between their results and ours about the in?uence of the gravitational quadrupole moment in the perturbative calculation of corrections to the precession of the periastron of quasielliptical Keplerian equatorial orbits around a point mass. The discrepancy appears to be a consequence of two different calculations of the angular momentum of the orbits.

Fuzzy Membership Functions in a Fuzzy Decision Making Problem

Authors analyses questions of the subjective uncertainty and inexactness situations in the moment of using expert information and another questions which are connected with expert information uncertainty by fuzzy sets with rough membership functions in this article. You can find information about integral problems of individual expert marks and about connection among total marks “degree of inexactness” with sensibility of measurement scale. A lot of different situation which are connected with distribution of the function accessory significance and orientation of the concrete take to task decision making are analyses here.

Ce qui nous rassemble autour de la "dernière bière" : vivre le feeling du moment en Beauce (Québec)

Cette thèse propose une lecture anthropologique de la consommation d’alcool. Elle met de l’avant une approche novatrice qui repose sur le concept de « métaphysique du quasi- arrêt ». Cette approche a été développée à la suite d’une recherche ethnographique réalisée dans la région de la Beauce, au Québec. Au lieu de considérer la consommation d’alcool comme un problème social ou de santé publique, j’ai cherché à comprendre comment et pourquoi l’on boit, en Beauce, en me laissant guider par les buveurs et les buveuses côtoyés sur place. En prenant part à de nombreuses soirées où la bière est omniprésente, que ce soit dans les garages, les bars ou l’aréna local, je me suis laissé affecter par les sensations ressenties et par les paroles prononcées lorsque les buveurs éprouvent ce qu’ils appellent le « feeling du moment ». En prenant du recul, j’ai constaté que les Beaucerons qui boivent ont développé des stratégies défensives pour échapper à la tentative de contrôle de la société québécoise sur leurs conduites alcooliques et, plus largement, sur l’alcoolisme. En effet, dans la perspective de la « métaphysique du quasi-arrêt », la quantité de verres consommés n’a d’importance qu’eu égard au « feeling du moment »; les normes culturelles ou médicales liées à la consommation d’alcool ne tiennent pas, et c’est pourquoi cette approche permet d’expliquer des discours et des pratiques liés à la consommation d’alcool qui, à première vue, semblent paradoxaux, voire complètement absurdes. Pour bien montrer en quoi l’approche mise de l’avant se distingue, mais surtout pour expliquer comment la consommation excessive d’alcool en est venue à représenter, en anthropologie comme dans d’autres disciplines, une pratique problématique qu’il faut comprendre pour la combattre, une première partie de la thèse consiste en une mise en perspective historique de l’alcoolisme en tant que concept scientifique et enjeu de société. Y sont passées en revue les approches et concepts développés, depuis la fin du XVIIe siècle, par des médecins, des psychologues, des économistes, des sociologues et des anthropologues euro-américains pour aborder ce genre de consommation. Je suggère que ces scientifiques mènent, depuis plus de deux siècles, une véritable croisade contre les « buveurs excessifs ». Collaborant avec l’État, les mouvements de tempérance et les entreprises privées, ils ont contribué à contenir les abus d’alcool en Occident. Dans la seconde partie de la thèse, l’ethnographie sert de support au déploiement de la perspective théorique développée à l’issue du travail de terrain. Il s’agit d’analyser comment les buveurs d’alcool vivent et font durer le « feeling du moment » au cours du boire social. Sur le terrain, j’ai découvert que les buveurs d’alcool ont inventé onze stratégies pour vivre et faire durer le « feeling du moment » en consommant de l’alcool avec les autres. Ces stratégies constituent une forme de résistance face à une société qui cherche à contrôler les conduites alcooliques.