Relevant bibliographies by topics / Hydrodynamical limits

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Hydrodynamical limits'

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Published: 20 April 2024

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Journal articles on the topic "Hydrodynamical limits"

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Lopes Garcia, Nancy. "Hydrodynamical limits for epidemic models." Communications in Statistics. Stochastic Models 14, no. 3 (January 1998): 497–508. http://dx.doi.org/10.1080/15326349808807485.

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Katsoulakis, Markos A., and Anders Szepessy. "Stochastic hydrodynamical limits of particle systems." Communications in Mathematical Sciences 4, no. 3 (2006): 513–49. http://dx.doi.org/10.4310/cms.2006.v4.n3.a3.

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Miyoshi, Hironari, and Masayoshi Tsutsumi. "Convergence of Hydrodynamical Limits for Generalized Carleman Models." Funkcialaj Ekvacioj 59, no. 3 (2016): 351–82. http://dx.doi.org/10.1619/fesi.59.351.

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Sowers, Richard B. "Hydrodynamical Limits and Geometric Measure Theory: Mean Curvature Limits from a Threshold Voter Model." Journal of Functional Analysis 169, no. 2 (December 1999): 421–55. http://dx.doi.org/10.1006/jfan.1999.3477.

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Gabetta, E., L. Pareschi, and M. Ronconi. "Central schemes for hydrodynamical limits of discrete-velocity kinetic models." Transport Theory and Statistical Physics 29, no. 3-5 (April 2000): 465–77. http://dx.doi.org/10.1080/00411450008205885.

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Montarnal, Philippe. "Study of hydrodynamical limits in a multicollision scale Boltzmann equation for semiconductors." Journal of Mathematical Physics 39, no. 5 (May 1998): 2781–99. http://dx.doi.org/10.1063/1.532420.

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Jacobus, Cooper, Peter Harrington, and Zarija Lukić. "Reconstructing Lyα Fields from Low-resolution Hydrodynamical Simulations with Deep Learning." Astrophysical Journal 958, no. 1 (November 1, 2023): 21. http://dx.doi.org/10.3847/1538-4357/acfcb5.

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Abstract Hydrodynamical cosmological simulations are a powerful tool for accurately predicting the properties of the intergalactic medium (IGM) and for producing mock skies that can be compared against observational data. However, the need to resolve density fluctuation in the IGM puts a stringent requirement on the resolution of such simulations, which in turn limits the volumes that can be modeled, even on the most powerful supercomputers. In this work, we present a novel modeling method that combines physics-driven simulations with data-driven generative neural networks to produce outputs that are qualitatively and statistically close to the outputs of hydrodynamical simulations employing eight times higher resolution. We show that the Lyα flux field, as well as the underlying hydrodynamic fields, have greatly improved statistical fidelity over a low-resolution simulation. Importantly, the design of our neural network allows for sampling multiple realizations from a given input, enabling us to quantify the model uncertainty. Using test data, we demonstrate that this model uncertainty correlates well with the true error of the Lyα flux prediction. Ultimately, our approach allows for training on small simulation volumes and applying it to much larger ones, opening the door to producing accurate Lyα mock skies in volumes of Hubble size, as will be probed with DESI and future spectroscopic sky surveys.
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CHEVALIER, C., F. DEBBASCH, and J. P. RIVET. "STOCHASTIC MODELS OF THERMODIFFUSION." Modern Physics Letters B 23, no. 09 (April 10, 2009): 1147–55. http://dx.doi.org/10.1142/s0217984909019260.

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New stochastic models of thermodiffusion are constructed and their hydrodynamical limits are studied through a first-order Chapman–Enskog expansion. These models differ from earlier ones by taking into account all first-order contributions proportional to the temperature gradient and, thus, allow for both positive and negative Soret coefficients, in accordance with observations.
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Baraffe, I., M. Viallet, and R. Walder. "Towards a New Generation of Multi-Dimensional Stellar Models: Can Our Models Meet the Challenges?" Proceedings of the International Astronomical Union 7, S285 (September 2011): 138. http://dx.doi.org/10.1017/s1743921312000464.

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SummaryThe talk described the first steps of development of a new multi-dimensional time-implicit code devoted to the study of hydrodynamical processes in stellar interiors. The main motivation stemmed from the fact that our physical understanding of stellar interiors and evolution still largely relies on one-dimensional calculations. The description of complex physical processes like time-dependent turbulent convection, rotation or MHD processes mostly relies on simplified, phenomenological approaches, with a predictive power hampered by the use of several free parameters. These approaches have now reached their limits in the understanding of stellar structure and evolution. The development of multi-dimensional hydrodynamical simulations becomes crucial to progress in the field of stellar physics and to meet the enormous observational efforts aimed at producing data of unprecedented quality (COROT, Kepler GAIA). The code we are developing solves the hydrodynamical equations in spherical geometry and is based on the finite volume method. The talk presented a global simulation of turbulent convective motions in a cold giant envelope, covering 80% in radius of the stellar structure. Our first developments show that the use of an implicit scheme applied to a stellar evolution context is perfectly thinkable.
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Sanchis, E., G. Picogna, B. Ercolano, L. Testi, and G. Rosotti. "Detectability of embedded protoplanets from hydrodynamical simulations." Monthly Notices of the Royal Astronomical Society 492, no. 3 (January 11, 2020): 3440–58. http://dx.doi.org/10.1093/mnras/staa074.

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ABSTRACT We predict magnitudes for young planets embedded in transition discs, still affected by extinction due to material in the disc. We focus on Jupiter-sized planets at a late stage of their formation, when the planet has carved a deep gap in the gas and dust distributions and the disc starts to being transparent to the planet flux in the infrared (IR). Column densities are estimated by means of three-dimensional hydrodynamical models, performed for several planet masses. Expected magnitudes are obtained by using typical extinction properties of the disc material and evolutionary models of giant planets. For the simulated cases located at 5.2 au in a disc with a local unperturbed surface density of 127 $\mathrm{g} \, \mathrm{cm}^{-2}$, a 1MJ planet is highly extinct in the J, H, and Kbands, with predicted absolute magnitudes ≥ 50 mag. In the L and Mbands, extinction decreases, with planet magnitudes between 25 and 35 mag. In the Nband, due to the silicate feature on the dust opacities, the expected magnitude increases to ∼40 mag. For a 2MJ planet, the magnitudes in the J, H, and Kbands are above 22 mag, while for the L, M, and Nbands, the planet magnitudes are between 15 and 20 mag. For the 5MJ planet, extinction does not play a role in any IR band, due to its ability to open deep gaps. Contrast curves are derived for the transition discs in CQ Tau, PDS 70, HL Tau, TW Hya, and HD 163296. Planet mass upper limits are estimated for the known gaps in the last two systems.
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Dissertations / Theses on the topic "Hydrodynamical limits"

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Briant, Marc. "On the Boltzmann equation, quantitative studies and hydrodynamical limits." Thesis, University of Cambridge, 2014. https://www.repository.cam.ac.uk/handle/1810/246471.

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The present thesis deals with the mathematical treatment of kinetic theory and focuses more precisely on the Boltzmann equation. We investigate several properties of the solutions to the latter equation: their positivity and their hydrodynamical limits for instance. We also study the local Cauchy problem for a quantic version of the Boltzmann equation.
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Feliachi, Ouassim. "From Particles to Fluids : A Large Deviation Theory Approach to Kinetic and Hydrodynamical Limits." Electronic Thesis or Diss., Orléans, 2023. http://www.theses.fr/2023ORLE1063.

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Comprendre comment décrire un système avec des équations macroscopiques, qui sont généralement déterministes, en partant d'une description microscopique, qui peut être stochastique, est le problème fondamental de la physique statistique. Souvent, cette tâche implique au moins deux limites : une limite "grand N" et une limite "d'équilibre local". La première permet de décrire un système de N particules par une fonction de distribution dans l'espace des phases, tandis que la seconde reflète la séparation des échelles de temps entre l'approche rapide de l'équilibre local et l'évolution lente des modes hydrodynamiques. En supposant ces deux limites, on obtient une description macroscopique déterministe. Pour des raisons à la fois théoriques et de modélisation (N est grand mais pas infini, la séparation des échelles de temps n'est pas parfaite), il est parfois important de comprendre les fluctuations autour de cette description macroscopique. L'hydrodynamique fluctuante fournit un cadre pour décrire l'évolution des champs macroscopiques tout en prenant en compte les fluctuations induites par le nombre de particules finies dans la limite hydrodynamique. Cette thèse traite de la dérivation de l'hydrodynamique fluctuante à partir de la description microscopique de la dynamique des particules. La dérivation de l'hydrodynamique fluctuante se fait en deux étapes. Premièrement, la limite "grand N" doit être affinée pour prendre en compte les fluctuations au-delà du comportement moyen du système. Pour ce faire, nous utilisons la théorie des grandes déviations pour établir des principes de grandes déviations qui décrivent la probabilité de tout chemin d'évolution pour le système de particule au-delà du chemin le plus probable décrit par l'équation cinétique. Ensuite, nous dérivons la l'hydrodynamique fluctuante en étudiant la limite hydrodynamique du principe de grande déviation cinétique, ou l'équation cinétique fluctuante associée. Ce manuscrit contient l'explication de ce programme et son application à divers systèmes physiques allant du gaz dilué aux particules actives
The central problem of statistical physics is to understand how to describe a system with macroscopic equations, which are usually deterministic, starting from a microscopic description, which may be stochastic. This task requires taking at least two limits: a “large N ” limit and a “local equilibrium” limit. The former allows a system of N particles to be described by a phase-space distribution function, while the latter reflects the separation of time scales between the fast approach to local equilibrium and the slow evolution of hydrodynamic modes. When these two limits are taken, a deterministic macroscopic description is obtained. For both theoretical and modeling reasons (N is large but not infinite, the time-scale separation is not perfect), it is sometimes important to understand the fluctuations around this macroscopic description. Fluctuating hydrodynamics provides a framework for describing the evolution of macroscopic, coarse-grained fields while taking into account finite- particle-number induced fluctuations in the hydrodynamic limit. This thesis discusses the derivation of fluctuating hydrodynamics from the microscopic description of particle dynamics. The derivation of the fluctuating hydrodynamics is twofold. First, the “large N” limit must be refined to account for fluctuations beyond the average behavior of the system. This is done by using large deviation theory to establish kinetic large deviation principles that describe the probability of any evolution path for the empirical measure beyond the most probable path described by the kinetic equation. Then, the fluctuating hydrodynamics is derived by studying the hydrodynamical limit of the kinetic large deviation principle, or the associated fluctuating kinetic equation. This dissertation discusses this program and its application to several physical systems ranging from the dilute gas to active particles
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Even, Nadine. "On Hydrodynamic Limits and Conservation Laws." Doctoral thesis, kostenfrei, 2009. http://www.opus-bayern.de/uni-wuerzburg/volltexte/2009/3837/.

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Givan, Daniel Rey. "Improved operational limits for offshore pipelay vessels." ScholarWorks@UNO, 2012. http://scholarworks.uno.edu/td/1439.

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Subsea pipelines are used extensively throughout the world’s oceans to transport oil and gas from offshore facilities to land, often hundreds of miles. These pipelines range in diameter from three to sixty inches and are installed in deeper depths every year, currently as deep as 2,900 meters. Pipeline construction and installation costs are a large percentage of offshore projects and thus, methods toward reducing costs is an imperative objective. With pipeline installation projects taking place in harsher environments, vessel operability is vital. This work presents an improved method for determining limiting criteria for pipelay operations to more effectively plan and execute offshore projects. This improvement is based on the consideration of total effective pipeline stresses as the limiting criterion rather than the traditionally used limiting pitch angle. Limiting sea curves based on a sample dynamic pipeline analysis are shown and their incorporation in workability planning is discussed.
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Jiménez, Oviedo Byron. "Processus d’exclusion avec des sauts longs en contact avec des réservoirs." Thesis, Université Côte d'Azur (ComUE), 2018. http://www.theses.fr/2018AZUR4000/document.

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Andrade, Adriana Uquillas. "Processo de exclusão simples com taxas variáveis." Universidade de São Paulo, 2008. http://www.teses.usp.br/teses/disponiveis/45/45133/tde-23082008-193758/.

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Nosso trabalho considera o processo de exclusão simples do vizinho mais próximo evoluindo com taxas de salto aleatórias . Demonstramos o limite hidrodinâmico deste processo. Este resultado è obtido através do limite hidrodinâmico do processo de exclusão onde as taxas de salto iniciais são substituidas pelas taxas cx,N que tem a mesma distribuição para cada N maior ou igal a 1. Fazemos algumas suposições no meio c_N e consideramos que as partículas estão inicialmente distribuidas de acordo à medida produto de Bernoulli associada a um perfil inicial.
Consider a Poisson process with rate equal to 1 in IR. Consider the nearest neighbor simple exclusion process with random jump rates § where §x =\\lambda, \\lambda > 0 if there is a Poisson mark between (x, x + 1) and §x = 1 otherwise. We prove the hydrodynamic limit of this process. This result follows from the hydrodynamic limit in the case that the jump rates {§x : x inteiro} are replaced by an array {cx,N : x inteiro} having the same distribution for each N >=1.
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Machrouki, Hicham. "Incompressibilité et conditions aux limites dans la méthode Smoothed particle hydrodynamics." Poitiers, 2012. http://theses.univ-poitiers.fr/25282/2012-Machrouki-Hicham-These.pdf.

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Nous présentons une méthode numérique particulaire pour résoudre les équations de Navier-Stockes en formulation vitesse-pression pour la modélisation bidimensionnelle des écoulements incompressibles en présence d'obstacles. Cette méthode s'appuie sur la formulation Smoothed particles hydrodynamics pour le calcul du transport des moments. L'absence de maillage structuré permet de traiter des domaines d'écoulement avec des frontières complexes. Par ailleurs, le calcul du champ de pression est réalisé par la résolution d'une équation de poisson assurant l'incompressibilité de l'écoulement et les conditions aux limites sont renforcées par l'utilisation de la méthode des intégrales de frontières. Cette dernière méthode est connue pour être pénalisante en termes de temps CFU. Pour remédier à ce problème, les contributions des termes sources de l'équation de poisson pour la pression et de l'équation de Helmhotz généralisée pour la vitesse sont calculées en superposant une grille cartésienne au domaine de l'écoulement et en utilisant une méthode de différences finies. Les différentes étapes de construction de la méthode que nous proposons ont été validées par l'étude de plusieurs cas académiques parmi lesquels l'écoulement dans une cavité, la rupture de barrage ou encore l'écoulement derrière un cylindre. En plus de son utilisation classique pour la modélisation des écoulements, notre méthode a été utilisée pour reconstruire les champs de vitesse et de pression à partir d'un champ de vitesse mesurée expérimentalement par PIV et appliquée au cas de l'écoulement autour d'un profil NACA en mouvement
A numerical particle method for solving the Bavier-Stokes equations in velocity-pressure formulation for two dimensional incompressible flows is presented. The basis of the method is the Smoothed particle hydrodynamics (SPH) formulation for the moment transport. On advantage of this meshless method is an easy treatment of computational domains with complex boundaries. The pressure is computed by solving a poisson equation that ensures the flow incompressibility and the boundary conditions are imposed by using a boundary integral method (BIM). This last method, is known to be strongly CPU time consuming. To overcome this difficulty, the source term of the poisson equation was solved by introducing a cartesian grid and by using finite differences. The same treatment has been applied to the generalize Helmholtz equation for the velocity field as well. The different steps were validated by studying several academic cases including a driven cavity low, a dam break and an impulsively started flow around a circular cylinder. Aditionaly to this standard use for flow numerical modelling, the method was also applied for rebuilding the pressure and velocity fields from velocity fields experimentally measured by a PIV method. The method was then applied to the flow around a moving NACA profile
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Fathi, Max. "Etude théorique et numérique de quelques modèles stochastiques en physique statistique." Thesis, Paris 6, 2014. http://www.theses.fr/2014PA066349/document.

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Dans cette thèse, nous nous intéressons essentiellement à trois sujets : les inégalités fonctionnelles à contenu probabiliste, les limites hydrodynamiques pour les systèmes de spins continus en interaction et la discrétisation des équations différentielles stochastiques. Ce document, outre l'introduction, comporte trois parties. La première s'intéresse aux inégalités fonctionnelles, et notamment aux inégalités de Sobolev logarithmiques, pour les mesures canoniques, ainsi qu'aux limites hydrodynamiques pour les systèmes des spins continus. La convergence vers la limite hydrodynamique pour plusieurs variantes du modèle de Ginzburg--Landau équipé de la dynamique de Kawasaki y est obtenue, avec notamment des bornes quantitatives en le nombre de spins. On y étudie également la convergence de l'entropie microscopique vers l'entropie hydrodynamique. La deuxième partie étudie les liens entre flots gradients dans les espaces de mesures de probabilités et grandes déviations pour les suites de lois de solutions d'équations différentielles stochastiques. On y obtient l'équivalence entre le principe de grandes déviations et la Gamma-Convergence d'une suite de fonctionnelles apparaissant dans la formulation en flots gradients du flot de marginales des lois des solutions des équations différentielles stochastiques. Comme application de ce principe, on obtient les grandes déviations par rapport à la limite hydrodynamique pour deux variantes du modèle de Ginzburg--Landau. La troisième partie concerne la discrétisation des équations différentielles stochastiques. On y prouve une inégalité transport-Entropie pour la loi du schéma d'Euler explicite. Cette inégalité implique des bornes sur les intervalles de confiance pour l'estimation de quantités de la forme $\mathbb{E}[f(X_T)]$. On y étudie également l'erreur de discrétisation pour l'évaluation des coefficients de transport avec l'algorithme MALA (qui est une combinaison du schéma d'Euler explicite et de l'algorithme de Metropolis--Hastings)
In this thesis, we are mainly interested in three topics : functional inequalities and their probabilistic aspects, hydrodynamic limits for interacting continuous spin systems and discretizations of stochastic differential equations. This document, in addition to a general introduction (written in French), contains three parts. The first part deals with functional inequalities, especially logarithmic Sobolev inequalities, for canonical ensembles, and with hydrodynamic limits for continuous spin systems. We prove convergence to the hydrodynamic limit for several variants of the Ginzburg--Landau model endowed with Kawasaki dynamics, with quantitative bounds in the number of spins. We also study convergence of the microscopic entropy to its hydrodynamic counterpart. In the second part, we study links between gradient flows in spaces of probability measures and large deviations for sequences of laws of solutions to stochastic differential equations. We show that the large deviations principle is equivalent to the Gamma--Convergence of a sequence of functionals that appear in the gradient flow formulation of the flow of marginals of the laws of the diffusion processes. As an application of this principle, we obtain large deviations from the hydrodynamic limit for two variants of the Ginzburg-Landau model. The third part deals with the discretization of stochastic differential equations. We prove a transport-Entropy inequality for the law of the explicit Euler scheme. This inequality implies bounds on the confidence intervals for quantities of the form $\mathbb{E}[f(X_T)]$. We also study the discretization error for the evaluation of transport coefficients with the Metropolis-Adjusted Langevin algorithm (which is a combination of the explicit Euler scheme and the Metropolis algorithm)
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Koukkous, Abdellatif. "Comportement hydrodynamique de différents processus de zéro range." Rouen, 1997. http://www.theses.fr/1997ROUES051.

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Cette thèse comprend trois parties. Dans la première, nous étudions le comportement asymptotique d'un processus de zéro range symétrique en volume fini dans un environnement aléatoire. Nous démontrons que, pour presque tout environnement, la mesure empirique converge en probabilité vers l'unique solution faible d'une équation de diffusion non linéaire indépendante de l'environnement. Dans la seconde partie, réalisée en collaboration avec G. Gielis et C. Landim, nous abordons le problème des fluctuations à l'équilibre pour le processus de zéro range avec environnement aléatoire. Il s'agit d'obtenir un résultat de type théorème central limite pour le champ de densité, autrement dit de montrer que le champ des fluctuations de la densité converge en loi vers un champ gaussien généralisé. Nous établissons le principe de Boltzmann-Gibbs et la convergence faible du champ de fluctuations de la densité du processus de zéro range en environnement aléatoire vers un processus d'Ornstein-Uhlenbeck généralisé dont l'évolution est décrite par linéarisation de l'équation hydrodynamique autour d'une densité fixée en présence d'un bruit blanc. Dans la dernière partie, réalisée en collaboration avec O. Benois et C. Landim, nous donnons une nouvelle interprétation des corrections de Navier-Stokes à l'équation hydrodynamique d'un système asymétrique de particules en interaction. Nous considérons un système dont la mesure initiale est associée à un profil constant dans la direction de la dérive. Nous montrons que, sous une renormalisation diffusive, le comportement du processus est décrit par une équation parabolique non linéaire dont le coefficient de diffusion coïncide avec le coefficient de diffusion de l'équation hydrodynamique de la version symétrique du processus.
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Aguiar, Guilherme Ost de. "Limite hidrodinâmico para neurônios interagentes estruturados espacialmente." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/45/45133/tde-01062016-162917/.

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Nessa tese, estudamos o limite hidrodinâmico de um sistema estocástico de neurônios cujas interações são dadas por potenciais de Kac que imitam sinapses elétricas e químicas, e as correntes de vazamento. Esse sistema consiste de $\\ep^$ neurônios imersos em $[0,1)^2$, cada um disparando aleatoriamente de acordo com um processo pontual com taxa que depende tanto do seu potential de membrana como da posição. Quando o neurônio $i$ dispara, seu potential de membrana é resetado para $0$, enquanto que o potencial de membrana do neurônio $j$ é aumentado por um valor positivo $\\ep^2 a(i,j)$, se $i$ influencia $j$. Além disso, entre disparos consecutivos, o sistema segue uma movimento determinístico devido às sinapses elétricas e às correntes de vazamento. As sinapses elétricas estão envolvidas na sincronização do potencial de membrana dos neurônios, enquanto que as correntes de vazamento inibem a atividade de todos os neurônios, atraindo simultaneamente todos os potenciais de membrana para $0$. No principal resultado dessa tese, mostramos que a distribuição empírica dos potenciais de membrana converge, quando o parâmetro $\\ep$ tende à 0 , para uma densidade de probabilidade $ho_t(u,r)$ que satisfaz uma equação diferencial parcial nâo linear do tipo hiperbólica .
We study the hydrodynamic limit of a stochastic system of neurons whose interactions are given by Kac Potentials that mimic chemical and electrical synapses and leak currents. The system consists of $\\ep^$ neurons embedded in $[0,1)^2$, each spiking randomly according to a point process with rate depending on both its membrane potential and position. When neuron $i$ spikes, its membrane potential is reset to $0$ while the membrane potential of $j$ is increased by a positive value $\\ep^2 a(i,j)$, if $i$ influences $j$. Furthermore, between consecutive spikes, the system follows a deterministic motion due both to electrical synapses and leak currents. The electrical synapses are involved in the synchronization of the membrane potentials of the neurons, while the leak currents inhibit the activity of all neurons, attracting simultaneously their membrane potentials to 0. We show that the empirical distribution of the membrane potentials converges, as $\\ep$ vanishes, to a probability density $ho_t(u,r)$ which is proved to obey a nonlinear PDE of Hyperbolic type.
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Books on the topic "Hydrodynamical limits"

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De Masi, Anna, and Errico Presutti. Mathematical Methods for Hydrodynamic Limits. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0086457.

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Masi, Anna De. Mathematical methods for hydrodynamic limits. Berlin: Springer-Verlag, 1991.

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Saint-Raymond, Laure. Hydrodynamic Limits of the Boltzmann Equation. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-92847-8.

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Hydrodynamic limits of the Boltzmann equation. Berlin: Springer, 2009.

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Tadahisa, Funaki, and Woyczyński W. A. 1943-, eds. Nonlinear stochastic PDE's: Hydrodynamic limit and Burgers' turbulence. New York: Springer, 1996.

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Kipnis, Claude. Scaling limits of interacting particle systems. New York: Springer, 1999.

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Denny, Mark W. Hydrodynamics, shell shape, behavior and survivorship in the owl limpet 'Lottia gigantea'. Cambridge: Cambridge University Press, 2000.

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DeMasi, Anna, and Errico Presutti. Mathematical Methods for Hydrodynamic Limits. Springer London, Limited, 2006.

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(Editor), Shui Feng, Anna T. Lawniczak (Editor), and S. R. S. Varadhan (Editor), eds. Hydrodynamic Limits and Related Topics (Fields Institute Communications). American Mathematical Society, 2000.

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Woyczynski, Wojbor, and Tadahisa Funaki. Nonlinear Stochastic PDEs: Hydrodynamic Limit and Burgers' Turbulence. Springer London, Limited, 2012.

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Book chapters on the topic "Hydrodynamical limits"

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Cercignani, Carlo, Reinhard Illner, and Mario Pulvirenti. "Hydrodynamical Limits." In The Mathematical Theory of Dilute Gases, 312–35. New York, NY: Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4419-8524-8_12.

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Jensen, Leif, and Horug-Tzer Yau. "Hydrodynamical scaling limits of simple exclusion models." In IAS/Park City Mathematics Series, 167–225. Providence, Rhode Island: American Mathematical Society, 1999. http://dx.doi.org/10.1090/pcms/006/04.

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Spohn, Herbert. "The Hydrodynamic Limit." In Large Scale Dynamics of Interacting Particles, 33–47. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-84371-6_4.

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El’, Gennady A., Alexander V. Gurevich, and Alexander L. Krylov. "Breaking Problem in Dispersive Hydrodynamics." In Singular Limits of Dispersive Waves, 89–104. Boston, MA: Springer US, 1994. http://dx.doi.org/10.1007/978-1-4615-2474-8_7.

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Igochine, Valentin. "Magneto-Hydrodynamics and Operational Limits." In Active Control of Magneto-hydrodynamic Instabilities in Hot Plasmas, 9–51. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-44222-7_2.

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De Masi, Anna, and Errico Presutti. "Hydrodynamic limits for independent particles." In Mathematical Methods for Hydrodynamic Limits, 7–32. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0086459.

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De Masi, Anna, and Errico Presutti. "Hydrodynamic limits in kinetic models." In Mathematical Methods for Hydrodynamic Limits, 112–27. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0086464.

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Varadhan, S. R. S. "Relative Entropy and Hydrodynamic Limits." In Stochastic Processes, 329–36. New York, NY: Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4615-7909-0_37.

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De Masi, Anna, and Errico Presutti. "Introduction." In Mathematical Methods for Hydrodynamic Limits, 1–6. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0086458.

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De Masi, Anna, and Errico Presutti. "Hydrodynamics of the zero range process." In Mathematical Methods for Hydrodynamic Limits, 33–51. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0086460.

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Conference papers on the topic "Hydrodynamical limits"

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Ferreira, Bruno, Miguel Pinto, Anibal Matos, and Nuno Cruz. "Hydrodynamic modeling and motion limits of AUV MARES." In IECON 2009 - 35th Annual Conference of IEEE Industrial Electronics (IECON 2009). IEEE, 2009. http://dx.doi.org/10.1109/iecon.2009.5415198.

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BISI, M., and G. SPIGA. "HYDRODYNAMIC LIMIT FOR A GAS WITH CHEMICAL REACTIONS." In Proceedings of the 12th Conference on WASCOM 2003. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702937_0011.

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Babovsky, Hans. "DISCRETE VELOCITY MODELS: A STUDY OF THE HYDRODYNAMIC LIMIT." In VII European Congress on Computational Methods in Applied Sciences and Engineering. Athens: Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece, 2016. http://dx.doi.org/10.7712/100016.2019.9530.

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An, Qiang, and Adam M. Steinberg. "Limits and Intermittency of Swirl Flame Lift-Off Copuled with Hydrodynamic Instability." In 2018 Joint Propulsion Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2018. http://dx.doi.org/10.2514/6.2018-4472.

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Babovsky, Hans. "Discrete velocity models: Bifurcations, hydrodynamic limits and application to an evaporation condensation problem." In 30TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS: RGD 30. Author(s), 2016. http://dx.doi.org/10.1063/1.4967581.

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Tichy, John, Victor Marrero, and Diana-Andra Borca-Tasciuc. "Limits to Lubrication Theory in Microsystems." In STLE/ASME 2008 International Joint Tribology Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/ijtc2008-71068.

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Lubrication theory has been one of the most successful and widely used theories in all of engineering and applied science. Therefore, researchers from tribology’s ‘traditional’ wing would be surprised to know that lubrication theory is not at all treated as a given by large group of nontraditional users. In a wide range of conditions applicable to many researchers in microelectromechanical systems (MEMS), experimental results seem to indicate that forces separating surfaces vary according to film thickness to the power minus one, rather than minus three, as lubrication theory requires — a large fundamental discrepancy indeed. Hydrodynamic forces are not generally used to separate surfaces, but arise incidentally, and are usually the largest source of parasitic losses. Clearly, they must be accounted for in the design process.
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Doctors, Lawrence J. "The Wave System of the Sydney Harbor RiverCat Ferry." In SNAME International Conference on Fast Sea Transportation. SNAME, 2021. http://dx.doi.org/10.5957/fast-2021-007.

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We revisit here the hydrodynamics supporting the design and development of the RiverCat class of catamaran ferries operating in Sydney Harbor since 1991. The design of the ferry was strongly influenced by the requirement to limit the erosion of the banks on the sides of the Parramatta River along which these ferries operate. More advanced software is used here. This software accounts for the hydrodynamics of the transom stern which create a hollow in the water. This hollow causes an effective hydrodynamic lengthening of the vessel. This leads to a reduction in the generation of the wave system and the consequent wave resistance. It is demonstrated that lengthening the RiverCat would substantially reduce its wave generation.
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Yang, Jianwei, and Shu Wang. "The Non-Relativistic Limit of Radiation Hydrodynamics Equations Arising from Astrophysics." In 2009 Second International Conference on Intelligent Computation Technology and Automation. IEEE, 2009. http://dx.doi.org/10.1109/icicta.2009.464.

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Masmoudi, Nader. "Some recent developements on the Hydrodynamic limit of the Boltzmann equation." In Proceedings of the Third International Palestinian Conference. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778390_0014.

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Chitrapu, A. S. Murthy, Theodore G. Mordfin, and Henry M. Chance. "Efficient Time-Domain Simulation of Side-By-Side Moored Vessels Advancing in Waves." In ASME 2007 26th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2007. http://dx.doi.org/10.1115/omae2007-29749.

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Evaluation of hydrodynamic performance of two vessels in close proximity that are either stationary or advancing in waves is of paramount importance for many offshore and naval engineering applications. Hydrodynamic interactions between the vessels combined with nonlinear mechanical interactions due to mooring and fendering systems make the problem more complicated. An efficient time-domain method is presented for evaluating the seakeeping and maneuvering performance of proximate vessels advancing with forward speed. The method computes the 6 degree-of-freedom motions of a pair of hydrodynamically interacting vessels subject to wind, waves, currents and maneuvering effects at zero and nonzero speeds in regular or random seaways. Model tests conducted to validate the method are described and results presented. The validation efforts conducted so far have yielded satisfactory comparisons, thereby reinforcing the confidence in the method and its applicability to such problems. The method has been used to predict safe operational limits of two vessels in skin-to-skin operations conducted by the US Navy. A similar analysis is presented herein for a different pair of vessels. Since it is based on time domain simulation, this method also allows the inclusion of non-linear effects due to mooring lines, fenders and effects of viscous roll damping, which is not possible with two-body hydrodynamic interaction solutions in frequency-domain. It is concluded that this method provides an efficient tool to predict the performance of hydrodynamically interacting vessels that are stationary or moving with forward speed. To date, it has proven very useful in the early stages of the design/concept development process in which many configurations are evaluated.
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Reports on the topic "Hydrodynamical limits"

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Tidriri, M. Coupling of Kinetic Equations and Their Hydrodynamic Limits. Fort Belvoir, VA: Defense Technical Information Center, November 2001. http://dx.doi.org/10.21236/ada408735.

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Chiodi, Robert, Michael McKerns, and Daniel Livescu. Machine Learning Optimal Flux-Limiters for Hydrodynamic Calculations. Office of Scientific and Technical Information (OSTI), September 2023. http://dx.doi.org/10.2172/2000891.

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Chiodi, Robert, Michael McKerns, and Daniel Livescu. Machine Learning Optimal Flux-Limiters for Hydrodynamic Calculations. Office of Scientific and Technical Information (OSTI), September 2023. http://dx.doi.org/10.2172/2005773.

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Klasky, Marc, Charles Bouman, Jennifer Disterhaupt, Michelle Espy, Jeffrey Fessler, Maliha Hossein, Elena Guardincerri, et al. EREBUS Coupled Hydrodynamic Radiographic Dynamic Reconstruction & Limited View Reconstructions. Office of Scientific and Technical Information (OSTI), March 2021. http://dx.doi.org/10.2172/1772390.

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Melby, Jeffrey, Thomas Massey, Abigail Stehno, Norberto Nadal-Caraballo, Shubhra Misra, and Victor Gonzalez. Sabine Pass to Galveston Bay, TX Pre-construction, Engineering and Design (PED) : coastal storm surge and wave hazard assessment : report 1 – background and approach. Engineer Research and Development Center (U.S.), September 2021. http://dx.doi.org/10.21079/11681/41820.

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The US Army Corps of Engineers, Galveston District, is executing the Sabine Pass to Galveston Bay Coastal Storm Risk Management (CSRM) project for Brazoria, Jefferson, and Orange Counties regions. The project is currently in the Pre-construction, Engineering, and Design phase. This report documents coastal storm water level and wave hazards for the Port Arthur CSRM structures. Coastal storm water level (SWL) and wave loading and overtopping are quantified using high-fidelity hydrodynamic modeling and stochastic simulations. The CSTORM coupled water level and wave modeling system simulated 195 synthetic tropical storms on three relative sea level change scenarios for with- and without-project meshes. Annual exceedance probability (AEP) mean values were reported for the range of 0.2 to 0.001 for peak SWL and wave height (Hm0) along with associated confidence limits. Wave period and mean wave direction associated with Hm0 were also computed. A response-based stochastic simulation approach is applied to compute AEP runup and overtopping for levees and overtopping, nappe geometry, and combined hydrostatic and hydrodynamic fluid pressures for floodwalls. CSRM structure crest design elevations are defined based on overtopping rates corresponding to incipient damage. Survivability and resilience are evaluated. A system-wide hazard level assessment was conducted to establish final recommended system-wide CSRM structure elevations.
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Stehno, Abigail, Jeffrey Melby, Shubhra Misra, Norberto Nadal-Caraballo, and Victor Gonzalez. Sabine Pass to Galveston Bay, TX Pre-construction, Engineering and Design (PED) : coastal storm surge and wave hazard assessment : report 2 – Port Arthur. Engineer Research and Development Center (U.S.), September 2021. http://dx.doi.org/10.21079/11681/41901.

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The US Army Corps of Engineers, Galveston District, is executing the Sabine Pass to Galveston Bay Coastal Storm Risk Management (CSRM) project for Brazoria, Jefferson, and Orange Counties regions. The project is currently in the Pre-construction, Engineering, and Design phase. This report documents coastal storm water level and wave hazards for the Port Arthur CSRM structures. Coastal storm water level (SWL) and wave loading and overtopping are quantified using high-fidelity hydrodynamic modeling and stochastic simulations. The CSTORM coupled water level and wave modeling system simulated 195 synthetic tropical storms on three relative sea level change scenarios for with- and without-project meshes. Annual exceedance probability (AEP) mean values were reported for the range of 0.2 to 0.001 for peak SWL and wave height (Hm0) along with associated confidence limits. Wave period and mean wave direction associated with Hm0 were also computed. A response-based stochastic simulation approach is applied to compute AEP values for overtopping for levees and overtopping, nappe geometry, and combined hydrostatic and hydrodynamic fluid pressures for floodwalls. CSRM crest design elevations are defined based on overtopping rates corresponding to incipient damage. Survivability and resilience are evaluated. A system-wide hazard level assessment was conducted to establish final recommended system-wide elevations.
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Stehno, Abigail, Jeffrey Melby, Shubhra Misra, Norberto Nadal-Caraballo, and Victor Gonzalez. Sabine Pass to Galveston Bay, TX Pre-construction, Engineering and Design (PED) : coastal storm surge and wave hazard assessment : report 4 – Freeport. Engineer Research and Development Center (U.S.), September 2021. http://dx.doi.org/10.21079/11681/41903.

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The US Army Corps of Engineers, Galveston District, is executing the Sabine Pass to Galveston Bay Coastal Storm Risk Management (CSRM) project for Brazoria, Jefferson, and Orange Counties regions. The project is currently in the Pre-construction, Engineering, and Design phase. This report documents coastal storm water level (SWL) and wave hazards for the Freeport CSRM structures. Coastal SWL and wave loading and overtopping are quantified using high-fidelity hydrodynamic modeling and stochastic simulations. The CSTORM coupled water level and wave modeling system simulated 195 synthetic tropical storms on three relative sea level change scenarios for with- and without-project meshes. Annual exceedance probability (AEP) mean values were reported for the range of 0.2 to 0.001 for peak SWL and wave height (Hm0) along with associated confidence limits. Wave period and mean wave direction associated with Hm0 were also computed. A response-based stochastic simulation approach is applied to compute AEP values for overtopping for levees and overtopping, nappe geometry and combined hydrostatic and hydrodynamic fluid pressures for floodwalls. CSRM crest design elevations are defined based on overtopping rates corresponding to incipient damage. Survivability and resilience are evaluated. A system-wide hazard level assessment was conducted to establish final recommended system-wide elevations.
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Stehno, Abigail, Jeffrey Melby, Shubhra Misra, Norberto Nadal-Caraballo, and Victor Gonzalez. Sabine Pass to Galveston Bay, TX Pre-construction, Engineering and Design (PED) : coastal storm surge and wave hazard assessment : report 3 – Orange County. Engineer Research and Development Center (U.S.), September 2021. http://dx.doi.org/10.21079/11681/41902.

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The US Army Corps of Engineers, Galveston District, is executing the Sabine Pass to Galveston Bay Coastal Storm Risk Management (CSRM) project for Brazoria, Jefferson, and Orange Counties regions. The project is currently in the Pre-construction, Engineering, and Design phase. This report documents coastal storm water level (SWL) and wave hazards for the Orange County CSRM structures. Coastal SWL and wave loading and overtopping are quantified using high-fidelity hydrodynamic modeling and stochastic simulations. The CSTORM coupled water level and wave modeling system simulated 195 synthetic tropical storms on three relative sea level change scenarios for with- and without-project meshes. Annual exceedance probability (AEP) mean values were reported for the range of 0.2 to 0.001 for peak SWL and wave height (Hm0) along with associated confidence limits. Wave period and mean wave direction associated with Hm0 were also computed. A response-based stochastic simulation approach is applied to compute AEP values for overtopping for levees and overtopping, nappe geometry, and combined hydrostatic and hydrodynamic fluid pressures for floodwalls. CSRM crest design elevations are defined based on overtopping rates corresponding to incipient damage. Survivability and resilience are evaluated. A system-wide hazard level assessment was conducted to establish final recommended system-wide elevations.
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Fall, Kelsey, David Perkey, Zachary Tyler, and Timothy Welp. Field measurement and monitoring of hydrodynamic and suspended sediment within the Seven Mile Island Innovation Laboratory, New Jersey. Engineer Research and Development Center (U.S.), June 2021. http://dx.doi.org/10.21079/11681/40980.

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The Seven Mile Island Innovation Laboratory (SMIIL) was launched in 2019 to evaluate beneficial use of dredge material management practices in coastal New Jersey. As part of that effort, the Philadelphia District requested that the US Army Engineer Research and Development Center, Coastal and Hydraulics Laboratory, collect data to characterize the hydrodynamics and turbidity within the central portions of the SMIIL prior to and during dredge material placement. Pre-dredge monitoring found that apart from punctuated wind events, the study area waters were generally calm and clear with small waves, <0.25 m, slow current speeds (~0.1 m/s), low turbidity (~10 ntus), and low suspended sediment concentrations (~10–20 mg/L). In March 2020, 2,475 m³ of dredged sediment was placed on the northern portion of Sturgeon Island within the SMIIL. Turbidity in the waters surrounding the island was monitored to quantify extent of the sediment plume resulting from the placement. Observations found little to no turbidity plume associated with the dredging operations beyond 20 m from the island and that the plume was largely limited to areas near a tidal creek draining the placement area. Additionally, turbidity levels quickly returned to background conditions at times when the dredge was not in operation.
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Zhu, Minjie, and Michael Scott. Two-Dimensional Debris-Fluid-Structure Interaction with the Particle Finite Element Method. Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA, April 2024. http://dx.doi.org/10.55461/gsfh8371.

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In addition to tsunami wave loading, tsunami-driven debris can cause significant damage to coastal infrastructure and critical bridge lifelines. Using numerical simulations to predict loads imparted by debris on structures is necessary to supplement the limited number of physical experiments of in-water debris loading. To supplement SPH-FEM (Smoothed Particle Hydrodynamics-Finite Element Method) simulations described in a companion PEER report, fluid-structure-debris simulations using the Particle Finite Element Method (PFEM) show the debris modeling capabilities in OpenSees. A new contact element simulates solid to solid interaction with the PFEM. Two-dimensional simulations are compared to physical experiments conducted in the Oregon State University Large Wave Flume by other researchers and the formulations are extended to three-dimensional analysis. Computational times are reported to compare the PFEM simulations with other numerical methods of modeling fluid-structure interaction (FSI) with debris. The FSI and debris simulation capabilities complement the widely used structural and geotechnical earthquake simulation capabilities of OpenSees and establish the foundation for multi-hazard earthquake and tsunami simulation to include debris.
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