An interface-preserving level set method is incorporated into the Reynolds- Averaged Navier-Stokes (RANS) numerical method for the time-domain simulation of green water effects. This generalized method can be used to evaluate two- and three-dimensional, laminar and turbulent, free surface flows in moving non-orthogonal grids. In the method, free surface flows are modeled as immiscible two-phase (air and water) flows. A level set function is used to mark the individual fluids and the free surface itself is represented by the zero level set function. The level set evolution equation is coupled with the conservation equations for mass and momentum, and solved in the transformed plane. Chimera domain decomposition technique is employed to handle embedding, overlapping, or matching grids. To demonstrate the feasibility of the method, calculations are performed in several bench mark free surface flows including dam break flows, free jets, solitary wave propagations and the impingement of dam break flow on a fixed structure. The comparisons between the simulations and the experimental data provide a thorough validation of the present method. The results also show the potential capability of level-set RANS method in much more complicated free surface flow simulations. After validations, the method is applied to simulate sloshing flows in LNG tank and green water over the platform. In sloshing flows, the level-set RANS method captures the large impact pressure accurately on LNG tank walls. It also generates a plunging breaker successfully in front of a platform in the numerical wave tank. The good agreements between numerical and experimental results prove the level set RANS method is a powerful and accurate CFD methodology in free surface flow simulations.

Thesis (Ph. D.)--West Virginia University, 2000. / Title from document title page. Document formatted into pages; contains xxv, 246 p. : ill. (some col.). Vita. Includes abstract. Includes bibliographical references (p. 162-168).

The motion of the free liquid surface inside a reservoir is called sloshing. Itis of large interest in different industrial fields such as satellite and spacecrafttrajectory control, automotive industry, nuclear engineering, buildingdesign, etc. The framework of propellant management on spacecraft is ofmain interest for this PhD thesis, even if its outcome can be applied to manyother fields concerned by sloshing.Being able to understand the behavior of the fluid in a reservoir subjectedto extreme environmental conditions means being able to predict its positionand topology inside the tank, for a given external and gravitationalacceleration and a determined thermodynamic condition. The predictionand control of this motion is far from being understood due to the differentparameters that play a role in the dynamic system such as the geometryof the container, the type of external excitation (shape, frequency contentand amplitude), the level of the liquid and finally the kind of liquid. In particular,the design of propulsion systems are affected by this phenomenon,still hampered by the unavailability of validated CFD models. Moreover theexisting experimental studies are mainly based on intrusive and local singlepoint measurement techniques, which give no information on the behaviorof the 3D liquid interface and on the velocity field inside the liquid phase.The main goal of this project has been to extend the experimental approachof liquid sloshing investigation in space propulsion, studying, developing andimproving non-intrusive measurement techniques for free surface behaviorand velocity characterization in the liquid phase. In particular, the free surfacebehavior have been studied by means of Laser Detection and Recordingtechnique (LeDaR), retrieving the profile of the interface over a line, andReference Image Topography technique (RIT), capturing the instantaneous3D interface shape. In addition, Particle Image Velocimetry (PIV) have beenused to measure the 2D velocity field in the main section of the reservoir.Tests performed with water were used as simpler test case to perform thetechniques while liquid nitrogen has been used as replacement uid havingphysical properties similar to real space propellants.The experimental problems of the selected measurement techniques relatedto the particular application have been addressed and a solution has beenproposed. Especially, the selection of tracers which could comply with theuse of a cryogenic fluid while for RIT the possibility to deal with circulardomains and to measure the absolute value of the liquid level. Finally, PIV in wavy ows needed to deal with dynamic curved interfaces for whicha widely-accepted processing algorithm was not available in literature andbesides, the choice of the particles and their seeding procedure in cryogenicsfluids had to be solved.Some applications are shown, which present the potentiality of the techniquesfor a new insight on sloshing flows with the future purpose of providingan accurate database for the verification and validation of numericalsimulations and a better understanding of the phenomena. / Doctorat en Sciences de l'ingénieur et technologie / info:eu-repo/semantics/nonPublished

Numerical simulation of wave behaviour in shallow and deep water is often a key aspect of ocean, coastal, and river hydrodynamic studies. This thesis derives nonlinear one- and two-dimensional level I Green-Naghdi (GN) equations that model the motions of free surface waves in shallow water over non-uniform bed topography. By assuming fitted velocity profiles through the depth, GN equations are simpler than Boussinesq equations, while retaining the wave dispersion property. Implicit matrix solvers are used to solve the spatially discretised 1D and 2D GN equations, with a 4th order Runge Kutta scheme used for time integration. To verify the developed numerical solvers of 1D GN equations, a series of simulations are undertaken for standard benchmark tests including sloshing in a tank and solitary wave propagation over a flat bed. In all cases, grid convergence tests were conducted. In the sloshing test, both numerical schemes and the analytical solution were in complete agreement for small-amplitude free surface motions. At larger values of initial sloshing amplitude, the nonlinear effects caused the free surface waves to steepen, and eventually the numerical simulations became unstable. This could be resolved in future using a shock-capturing scheme. Excellent agreement was achieved between the numerical predictions and analytical solution for solitary waves propagating. The 2D GN equation solver was then verified for the benchmark tests of Gaussian hump sloshing and solitary wave propagation in closed basin. The predicted free surface motions for Gaussian hump sloshing were in good agreement with linear Fourier analytical solutions for a certain initial period, after which nonlinear effects started to dominate the numerical solution. A reversibility check was undertaken. Nonlinear effects were investigated by increasing the amplitude of the hump, and applying harmonic separation (by comparison against slosh predictions for a corresponding Gaussian trough). It was found that the even harmonic components provided a useful indication of the nonlinear behaviour of the 2D GN equations. 2D GN simulations of a 0.6 m amplitude solitary wave propagation in 1 m deep water over a flat, horizontal bed confirmed that nonlinear interaction was correctly modelled, when the solitary wave hit a solid wall and its runup reached 2.36 m which was 0.36m more than the linear analytical solution and almost identical to a second order solution.

Thesis (M.S.)--West Virginia University, 2001. / Title from document title page. Document formatted into pages; contains xiv, 97 p. : ill. (some col.). Includes abstract. Includes bibliographical references (p. 90-92).

Sloshing phenomena could seriously damage tank structures and reduce its lifetime. On the one hand, studies directly recommend the use of baffles to solve these problems, nevertheless on the other hand the existence of small tanks or plastic tanks without baffles confuse and complicate the case. The first aim in this thesis is to clarify the necessity of baffles for a particular diesel tank L120 H-Generation in Volvo front loaders. Then, the second aim is to improve the existing design. Four configurations are proposed and checked independently. Experiments in the lab, FEM static stresses analyses and vibrational simulations are done in order to fulfill the requirements. The conclusion of this thesis is that the dissipation of energy is highly recommended, so having an oblique baffle with holes could be a good way to reduce the sloshing and extend the lifetime of the tank.

Elevated water tanks are widely used to store water for drinking as well as for fire extinguishing purposes. After a severe earthquake, the need of water for drinking as well as fire control will increase dramatically. To ensure that water tanks remain functional after an earthquake, proper analysis method should be followed in order to calculate the response of a structure for earthquake. In this study, the lateral forces developed during earthquake are investigated from commercially available SAP2000 software and the results are compared with the 2006 edition of the ACI standard "Seismic Design of Liquid-Containing Concrete Structures and Commentary" (ACI 350.3-06). The elevated concrete tank is modeled for full, half-full and empty conditions. Linear modal time history analysis is performed using scaled ground motions. Three-directional ground motion records from five different earthquakes have been scaled to the design level and applied to the structure. Sloshing behavior of water inside the tank and the effect of vertical ground motion on the columns have been investigated. It is found that, vertical ground motions can increase the axial forces in columns by up to 20 %, and the ACI 350.3-06 design method is not always conservative. As seismic response depends on both the dynamic properties of the structure and the spectral characteristics of ground motions, more research is needed to understand and model the seismic response of elevated water tanks.

Ce travail traite du ballottement d'un fluide dans une cuve rectangulaire en mouvement et du couplage avec un corps flottant. Nous exposons premièrement une théorie linéaire basée sur la décomposition des mouvements dans la base des modes propres de la cuve. Pour les mouvements plus importants la théorie linéaire atteint ses limites, nous proposons un modèle de type Boussinesq et un modèle d'équations intégrales avec des conditions de surface libre complètement non-linéaires. Nous considérons également un terme d'amortissement linéarisé. Nous comparons les résultats numériques à des résultats expérimentaux pour une cuve à fond plat et pour un fond légèrement incliné. Le taux de remplissage varie également. Le couplage de la cuve avec une barge rectangulaire est réalisé par développement en série de fonctions propres et par leur raccordement aux frontières des différents sous-domaines. Tous ces résultats, numériques et expérimentaux , sont comparés dans le domaine fréquentiel et temporel. / This work focuses on the sloshing of the fluid in rectangular tanks with forced motions and of the coupling with a floating body. A linear theory is firstly given for the sloshing which is represented by the superposition of natural sloshing modes. Compared with linear theory, the extended Boussinesq-type models are used for the simulations of nonlinear sloshing motions. The fully nonlinear free surface conditions are adopted and linear damping term is considered in the model. The integral equation method with fully nonlinear free surface conditions are also applied. A flat bottom rectangular tank with different filling levels are discussed based on these numerical methods and experiences. The solutions of an inclined bottom tank are studied and compared with experimental results. The sea-keeping of a rectangular barge is modeled by a series of eigen-functions. The coupled computations of the sloshing in the tank and the sea-keeping of floating body are studied in both the frequency domain and time domain. The numerical results are compared with experimental results.

<p>The aim of the project is to collect empirical data on contact line motion in vibrating tanks under zero-gravity (zero-g) conditions. This study is particularly focused on the behavior of current green propellants, which have a high contact angle compared to traditional stores like water. As a result, the non-linear contact line and angle is expected to have a significant impact on zero-g behavior. The thesis focuses on the dynamic experiment of developing an experimental payload designed to fly on Blue Origin\textquotesingle s New Shepherd suborbital flight. The data collected from this experiment will provide a benchmark case for developers of zero-g fluid dynamics simulations to compare or improve their simulation results. The results will also be useful for testing non-linear hysteresis contact line simulations.</p> <p><br></p> <p>The design of the experiment mainly focuses on conducting oscillatory motion in zero gravity to observe the contact line at varying speeds. Two different liquids are intended to be tested on the same payload. The liquid is to be filled so that the free surface has a height of 1 inch, and the vibration amplitude is to be 0.1 inches. The liquid chosen closely simulates the current green propellants under development or other poorly-wetting liquids. The purpose of each of the components used in the experiment is justified with respect to the given flight design constraints, along with how the constraints impacted the experiment. The experiment is designed to sustain the forces in case of hard landing during the flight and autonomous control of motion. The experiment is staged to be ready for flight on the New Shepherd, and any future works are mentioned. </p> <p><br></p> <p>To meet these constraints, the experimental payload is designed with a variety of components, each chosen for its ability to perform under the given conditions. The payload includes a custom-built system, which generates the oscillatory motion necessary to observe the contact line behavior. The system is designed to be compact and lightweight, yet robust enough to withstand the forces of launch and landing. In addition, the payload includes a custom-built tank designed to hold the liquids being tested. The study of contact line motion in vibrating tanks under zero-g conditions is important in understanding the behavior of liquids in space. This study will provide crucial data that will help in the development of more accurate fluid dynamic simulations for future space missions.</p>

This report presents the work done within the framework of my master thesis in the program Infrastructure Engineering at KTH Royal Institute of Technology, Stockholm. This project has been proposed and sponsored by the French company Setec TPI, part of the Setec group, located in Paris. The overall goal of this study is to investigate fluid-structure interaction and particularly sloshing in liquid-containing structures subjected to seismic or other dynamic action. After a brief introduction, the report is composed of three main chapters. The first one presents and explains fluid-structure interaction equations. Fluid-structure interaction problems obey a general flow equation and several boundary conditions, given some basic assumptions. The purpose of the two following chapters is to solve the corresponding system of equations. The first approach proposes an analytical solution: the problem is solved for 2D rectangular tanks. Different models are considered and compared in order to analyze and describe sloshing phenomenon. Liquid can be decomposed in two parts: the lower part that moves in unison with the structure is modeled as an impulsive added mass; the upper part that sloshes is modeled as a convective added mass. Each of these two added mass creates hydrodynamic pressures and simple formulas are given in order to compute them. The second approach proposes a numerical solution: the goal is to be able to solve the problem for any kind of geometry. The differential problem is resolved using a singularity method and Gauss functions. It is stated as a boundary integral equation and solved by means of the Boundary Element Method. The linear system obtained is then implemented on Matlab. Scripts and results are presented. Matlab programs are run to solve fluid-structure interaction problems in the case of rectangular tanks: the results concur with the analytical solution which justifies the numerical solution. This report gives a good introduction to sloshing phenomenon and gathers several analytical solutions found in the literature. Besides, it provides a Matlab program able to model effects of sloshing in any liquid-containing structures.