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Relevant bibliographies by topics / Hydrodynamics – Mathematical models

Academic literature on the topic 'Hydrodynamics – Mathematical models'

Author: Grafiati

Published: 4 June 2021

Last updated: 31 January 2023

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Journal articles on the topic "Hydrodynamics – Mathematical models"

1

Korobkin, Alexander, Emilian I. Părău, and Jean-Marc Vanden-Broeck. "The mathematical challenges and modelling of hydroelasticity." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 369, no. 1947 (July 28, 2011): 2803–12. http://dx.doi.org/10.1098/rsta.2011.0116.

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Hydroelasticity brings together hydrodynamics and elastic theories. It is concerned with deformations of elastic bodies responding to hydrodynamic excitations, which themselves depend on elastic deformation. This Theme Issue is intended to identify and to outline mathematical problems of modern hydroelasticity and to review recent developments in this area, including physically and mathematically elaborated models and the techniques used in their analysis.

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Paryshev, Emil V. "Approximate mathematical models in high-speed hydrodynamics." Journal of Engineering Mathematics 55, no. 1-4 (July 26, 2006): 41–64. http://dx.doi.org/10.1007/s10665-005-9026-x.

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Holdych, D. J., D. Rovas, J. G. Georgiadis, and R. O. Buckius. "An Improved Hydrodynamics Formulation for Multiphase Flow Lattice-Boltzmann Models." International Journal of Modern Physics C 09, no. 08 (December 1998): 1393–404. http://dx.doi.org/10.1142/s0129183198001266.

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Lattice-Boltzmann (LB) models provide a systematic formulation of effective-field computational approaches to the calculation of multiphase flow by replacing the mathematical surface of separation between the vapor and liquid with a thin transition region, across which all magnitudes change continuously. Many existing multiphase models of this sort do not satisfy the rigorous hydrodynamic constitutive laws. Here, we extend the two-dimensional, seven-speed Swift et al. LB model1 to rectangular grids (nine speeds) by using symbolic manipulation (MathematicaTM) and compare the LB model predictions with benchmark problems, in order to evaluate its merits. Particular emphasis is placed on the stress tensor formulation. Comparison with the two-phase analogue of the Couette flow and with a flow involving shear and advection of a droplet surrounded by its vapor reveals that additional terms have to be introduced in the definition of the stress tensor in order to satisfy the Navier–Stokes equation in regions of high density gradients. The use of Mathematica obviates many of the difficulties with the calculations "by-hand," allowing at the same time more flexibility to the computational analyst to experiment with geometrical and physical parameters of the formulation.

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Sukhinov, A., A. Chistyakov, S. Protsenko, and E. Protsenko. "Study of 3D discrete hydrodynamics models using cell filling." E3S Web of Conferences 224 (2020): 02016. http://dx.doi.org/10.1051/e3sconf/202022402016.

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Modern methods and tools for coastal hydrodynamics modeling indicate the necessity of constructing discrete analogs of models for ones the properties: balance and conservation laws (for mass, flows, impulse), stability, convergence and etc. have been fulfilled. The paper considers a continuous three-dimensional mathematical model of the hydrodynamics of water basins and its discretization. The pressure correction method at variable water medium density was used to solve the problem of hydrodynamics. The considered discrete mathematical models of hydrodynamics take into account the filling of control cells on rectangular grids. This increased the accuracy of the solution in the case of complex geometry by improving the boundary approximation. From the obtained estimates of the components of the velocity vector, it follows that there are no two or more stationary regimes in which all forces are balanced, and the solution to the discrete problem exists and is unique and tends to the solution of the continuous problem upon reaching the stationary regime. Also the balance of the flows for the discrete model has been proved as well as absence of non-conservative dissipative terms.

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Rahimi-Ahar, Zohreh, and Mohammad Sadegh Hatamipour. "Hydrodynamics, numerical study and application of spouted bed." Reviews in Chemical Engineering 34, no. 6 (November 27, 2018): 743–66. http://dx.doi.org/10.1515/revce-2017-0036.

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Abstract This article reviews the major research and development on spouted beds (SBs). Due to its unique structural and flow characteristics, the SB is a very successful system in most applications. Two-phase and sometimes three-phase interactions generate a large number of variables to be noted in each process. Up-to-date information on the fundamentals and applications of SBs has been briefly presented, based on the published works. Thousands of interesting studies on hydrodynamic characteristics, numerical simulations, and new applications of SBs are reported. In the first step, the present work presents a review of hydrodynamic characteristics (circulation of solids in SB, measurement techniques for particle tracking and empirical hydrodynamics, pressure drop, maximum spoutable height, minimum spouting velocity, and diameter of the spout). In the second step, main mathematical models and computational fluid dynamics (CFD) simulation of the SB to predict and analyze different processes are described. Some main mathematical modeling and the recent advances of two fluid methods and discrete element method approaches in CFD simulation of SBs are summarized. In the last step, some new applications of the SB are presented. As the result of this review, we can observe the importance of further development of hydrodynamics structure, working on modeling and related correlations and improve the applications of SBs.

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Li, Hui, and Hui Yang. "Numerical Investigation of Hydrodynamic Behaviors in Gas-Solid Magnetic Fluidized Beds." Advanced Materials Research 560-561 (August 2012): 1165–73. http://dx.doi.org/10.4028/www.scientific.net/amr.560-561.1165.

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A mathematical model describing the transient hydrodynamic behaviours is introduced to predict the effect of magnetic field intensity and process parameters in magnetically stable fluidized beds (MSFBs). Computational fluid dynamics (CFD) code Fluent 6.2 has been used to investigate the hydrodynamics of a gas-solid MSFB operated with fine particles. The model is incorporated into simulations based on an Eulerian approach. In the simulations, the closure models describing the hydrodynamics of the solids phase are directly affected by the behavior of magnetic field intensity. The simulations are compared with experiments at different gas Reynolds numbers (ReG = uGdp/vG) and magnetic field intensity (Er = 3μ0MpH/2gdpρp). The agreement obtained between the simulation results and experimental data for local solid holdup is good at lower ReG and Er values.

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Khvostov, Anatoly, Anatoly Khvostov, Viktor Ryazhskikh, Viktor Ryazhskikh, Gazibeg Magomedov, Gazibeg Magomedov, Aleksey Zhuravlev, and Aleksey Zhuravlev. "Matrix dynamic models of elements of technological systems with perfect mixing and plug-flow hydrodynamics in Simulink." Foods and Raw Materials 6, no. 2 (December 20, 2018): 483–92. http://dx.doi.org/10.21603/2308-4057-2018-2-483-492.

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The dynamic models of elements of technological systems with perfect mixing and plug-flow hydrodynamics are based on the systems of algebraic and differential equations that describe a change in the basic technological parameters. The main difficulty in using such models in MathWorks Simulink™ computer simulation systems is the representation of ordinary differential equations (ODE) and partial differential equations (PDE) that describe the dynamics of a process as a MathWorks Simulink™ block set. The study was aimed at developing an approach to the synthesis of matrix dynamic models of elements of technological systems with perfect mixing and plug-flow hydrodynamics that allows for transition from PDE to an ODE system on the basis of matrix representation of discretization of coordinate derivatives. A sugar syrup cooler was chosen as an object of modeling. The mathematical model of the cooler is formalized by a set of perfect reactors. The simulation results showed that the mathematical model adequately describes the main regularities of the process, the deviation of the calculated data from the regulations did not exceed 10%. The proposed approach significantly simplifies the study and modernization of the current and the development of new technological equipment, as well as the synthesis of algorithms for controlling the processes therein.

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Al-Isawi, J. K. T. "Computational Experiments for One Class of Mathematical Models in Thermodynamics and Hydrodynamics." Journal of Computational and Engineering Mathematics 4, no. 1 (2017): 16–26. http://dx.doi.org/10.14529/jcem170102.

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A. A., Yuldashov, and Karimov G. X. "Models of Distribution of Flow Parameters in Intensive Garden Irrigation, System Pipes." International Journal for Research in Applied Science and Engineering Technology 10, no. 3 (March 31, 2022): 838–44. http://dx.doi.org/10.22214/ijraset.2022.40692.

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Annotation: The mathematical description of the movement of water in the systems of irrigation pipelines, based on the equation of continuity of the medium, the system of Navy-Stokes equations. The resulting mathematical package describes a system with distributed parameters and is performed based on the condition of dynamic balance at the point of flow, taking into account the dependence on the nature of the flow and the physical properties of the environment. Calculation is executed with use of functions Besseliya. Methodology for calculating the hydrodynamic component of water movement in irrigation water supply systems. Pipelines are universal in nature and can be used in the calculation, construction and assessment of the stability of water supply hydraulic systems; the technique can be used to describe the object of operation in the construction of control systems for the hydraulic parameters of the water supply system. Keywords: pipeline, irrigation systems, non-uniformity, liquid, water, strength, function, three-dimensional, water supply, hydrodynamics, hydrostatics, quasi-one-dimensional, unsteady, flow, potential, surface, coordinate system, stresses, projection, velocity, cylindrical coordinates, unsteady motion , asymmetric, viscous, compressible fluid, plastic pipe

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Korniyenko, Bogdan, and Andrii Nesteruk. "Mathematical modelling of granulation process in fluidised bed (overview of models)." Proceedings of the NTUU “Igor Sikorsky KPI”. Series: Chemical engineering, ecology and resource saving, no. 2 (June 30, 2022): 51–59. http://dx.doi.org/10.20535/2617-9741.2.2022.260349.

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One of the most common methods of making mineral fertilizers is granulation. Fertilizers in the form of granules have a number of advantages over conventional fertilizers in the form of powder or liquid, namely, ease of transportation, well absorbed and less susceptible to weathering from the soil, convenient to use. To obtain solid particles from liquid starting material such as solutions, emulsions or suspensions, the following processes are used: crystallization, granulation, spray drying. Depending on the focus of the study, the fluidized bed granulation process can be modeled at different levels of abstraction. The dynamics of individual particles is modeled on a microscopic scale. The interaction of a particle with a liquid, equipment or other particles is considered. The next rougher level of abstraction is the mesoscale. Here the particles are divided into classes according to their characteristics. It is assumed that the particles of the class have the same properties and dynamics. On a macroscopic scale, the roughest level of approximation, attention is focused on the integral behavior of the whole set of particles. As a result, the selected characteristic values describe the state of the particle layer. There are different approaches to modeling for each scale. It is proposed to describe the microscopic scale using the hydrodynamics model, the mesoscale using the balance model, and the macroscopic scale using the moments method or the Lagrange-Euler model. A combined balance-hydrodynamics model and a multi-chamber balance model that can be used for the tasks of building information technology for fluidized bed granulation process control technology are also considered.

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Dissertations / Theses on the topic "Hydrodynamics – Mathematical models"

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Brumley, Douglas Richard. "Hydrodynamics of swimming microorganisms." Thesis, University of Cambridge, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.608174.

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蔡景華 and King-wah Choi. "Finite difference modelling of estuarine hydrodynamics." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1985. http://hub.hku.hk/bib/B30425153.

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孫仁 and Ren Sun. "Hydrodynamic interaction between two bodies with rotation." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1999. http://hub.hku.hk/bib/B31239304.

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Marchand, Philippe 1972. "Hydrodynamic modeling of shallow basins." Thesis, McGill University, 1997. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=20274.

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A two-dimensional hydrodynamic model is used to simulate the flow field and the concentration distribution of a conservative tracer in shallow basins. A series of numerical test are performed to evaluate different numerical schemes and problems which arise for the use of the Second Moment Method (SMM) in diffusion dominated flows are reported. The results of the basin simulations are compared with experimental data. The model predicts the location and the size of the dead zones, bypassing, recirculation, and local concentrations within the basin. The positioning of the inlet and outlet, and the presence of baffles are important parameters for the location and size of dead zones. The model gives results which are in agreement with the experimental data. The results show that the hydrodynamic model is quite powerful in terms of predicting correctly the residence time distribution for ponds of various dimensions and shapes.

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Muir, Stuart. "A relativisitic, 3-dimensional smoothed particle hydrodynamics (SPH) algorithm and its applications." Monash University, School of Mathematical Sciences, 2003. http://arrow.monash.edu.au/hdl/1959.1/9513.

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McTaggart, Kevin Andrew. "Hydrodynamics and risk analysis of iceberg impacts with offshore structures." Thesis, University of British Columbia, 1989. http://hdl.handle.net/2429/30733.

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The evaluation of design iceberg impact loads for offshore structures and the influence of hydrodynamic effects on impact loads are examined. Important hydrodynamic effects include iceberg added mass, wave-induced oscillatory iceberg motions, and the influence of a large structure on the surrounding flow field and subsequent velocities of approaching icebergs. The significance of these phenomena has been investigated using a two-body numerical diffraction model and through a series of experiments modelling the drift of various sized icebergs driven by waves and currents approaching a large offshore structure. Relevant findings from the hydrodynamic studies have been incorporated into two probabilistic models which can be used to determine design iceberg collision events with a structure based on either iceberg kinetic energy upon impact or global sliding force acting on the structure. Load exceedence probabilities from the kinetic energy and sliding force models are evaluated using the second-order reliability method. Output from the probabilistic models can be used to determine design collision parameters and to assess whether more sophisticated modelling of various impact processes is required. The influence of the structure on velocities of approaching icebergs is shown to be significant when the structure horizontal dimension is greater than twice the iceberg dimension. As expected, wave-induced oscillatory motions dominate the collision velocity for smaller icebergs but have a negligible effect on velocity for larger icebergs.
Applied Science, Faculty of
Civil Engineering, Department of
Graduate

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Tsang, Suk-chong, and 曾淑莊. "A numerical study of coupled nonlinear Schrödinger equations arising in hydrodynamics and optics." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2003. http://hub.hku.hk/bib/B26652651.

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Ye, Feng. "Derivation of a two-layer non-hydrostatic shallow water model." Thesis, Water Resources Research Center, University of Hawaii at Manoa, 1995. http://hdl.handle.net/10125/21919.

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A theoretical non-hydrostatic model is developed to describe the dynamics of a two-layer shallow water system in the presence of viscous and Coriolis effects. The Navier-Stokes equations are integrated over the water depth in each layer to obtain the layer-mean equations. To close the resulting equation set, perturbation expansions of the vertical momentum equation are used and the dynamic pressures are solved in terms of wave elevations and horizontal velocities. A preliminary analysis is also carried out and a result for the quasigeostrophic problems is given based on an previous study. Our final model is of the Bousinesq class which is nonlinear and dispersive, and includes the effects of surface wind stress, bottom friction, eddy diffusion and earth rotation. It is shown that our new model can be readily reduced to previous inviscid non-hydrostatic models. Our model can be used in numerical simulations to study real ocean problems such as hurricane generated waves, tidal induced current, and interactions among surface waves, internal waves and variable topographies.
Thesis (M. S.)--University of Hawaii at Manoa, 1995.
Includes bibliographical references (leaves 55-59).
UHM: Has both book and microform.
U.S. Geological Survey; project no. 06; grant agreement no. 14-08-0001-G2015

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Song, Charlotte Kathryn Cody. "Hydrodynamic stability of confined shear-driven flows." Diss., Georgia Institute of Technology, 2003. http://hdl.handle.net/1853/17662.

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吳家鳴 and Jiaming Wu. "Simulation of a two-part underwater towed system." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1998. http://hub.hku.hk/bib/B31239481.

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Books on the topic "Hydrodynamics – Mathematical models"

1

Colangeli, Matteo. From Kinetic Models to Hydrodynamics: Some Novel Results. New York, NY: Springer New York, 2013.

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Hydrodynamics of explosion: Experiments and models. Berlin: Springer, 2005.

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Hydrodynamics and sound. Cambridge: Cambridge University Press, 2007.

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Vreugdenhil, C. B. Numerical methods for shallow-water flow. Dordrecht: Kluwer Academic Publishers, 1994.

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Vreugdenhil, Cornelis Boudewijn. Numerical methods for shallow-water flow. Dordrecht: Kluwer Academic Publishers, 1994.

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Wierzcholski, Krzysztof. Mathematical methods in hydrodynamic theory of lubrication. Szczecin: Wydawn. Uczelniane Politechniki Szczecińskiej, 1993.

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C, McCutcheon Steve, and Schottman Robert W, eds. Hydrodynamics and transport for water quality modeling. Boca Raton: Lewis Publishers, 1999.

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S, Zaleski, ed. Lattice-gas cellular automata: Simple models of complex hydrodynamics. Cambridge, U.K: Cambridge University Press, 1997.

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The water waves problem: Mathematical analysis and asymptotics. Providence, Rhode Island: American Mathematical Society, 2013.

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I︠U︡rezanskai︠a︡, I︠U︡ S. Razrabotka metodov matematicheskogo modelirovanii︠a︡ rasprostranenii︠a︡ passivnoĭ primesi na okeanicheskom shelʹfe. Moskva: Vychislitelʹnyĭ t︠s︡entr im. A.A. Dorodnit︠s︡yna RAN, 2009.

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Book chapters on the topic "Hydrodynamics – Mathematical models"

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Toscani, Giuseppe. "Hydrodynamics from the Dissipative Boltzmann Equation." In Mathematical Models of Granular Matter, 59–75. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-78277-3_3.

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Sentis, Rémi. "Quasi-Neutrality and Magneto-Hydrodynamics." In Mathematical Models and Methods for Plasma Physics, Volume 1, 11–71. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-03804-9_2.

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Spielman, Lloyd A. "Flow Through Porous Media and Fluid-Particle Hydrodynamics." In Mathematical Models and Design Methods in Solid-Liquid Separation, 25–47. Dordrecht: Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-009-5091-7_3.

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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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De Masi, Anna, and Errico Presutti. "Particle models for reaction-diffusion equations." In Mathematical Methods for Hydrodynamic Limits, 52–66. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0086461.

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De Masi, Anna, and Errico Presutti. "Particle models for the Carleman equation." In Mathematical Methods for Hydrodynamic Limits, 67–96. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0086462.

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Anile, A. M., O. Muscato, C. Maccora, and R. M. Pidatella. "Hydrodynamical models for semiconductors." In Progress in Industrial Mathematics at ECMI 94, 331–40. Wiesbaden: Vieweg+Teubner Verlag, 1996. http://dx.doi.org/10.1007/978-3-322-82967-2_40.

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Loper, David E., and Paul H. Roberts. "A Simple Mathematical Model of a Slurry." In Hydrodynamic Behavior and Interacting Particle Systems, 113–16. New York, NY: Springer US, 1987. http://dx.doi.org/10.1007/978-1-4684-6347-7_9.

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Blanc, Xavier, Bernard Ducomet, and Šárka Nečasová. "On Some Models in Radiation Hydrodynamics." In Association for Women in Mathematics Series, 79–102. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-04496-0_4.

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Doelman, A., and J. Grasman. "Low Order Spectral Models in Hydrodynamics." In Trends in Applications of Mathematics to Mechanics, 86–97. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-73933-0_9.

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Conference papers on the topic "Hydrodynamics – Mathematical models"

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Prostomolotov, Anatoliy, and Natalia Verezub. "HYDRODYNAMICS AND MASS TRANSFER IN SPECIAL CRYSTALLIZER DESIGNS." In Mathematical modeling in materials science of electronic component. LLC MAKS Press, 2020. http://dx.doi.org/10.29003/m1524.mmmsec-2020/78-82.

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Two variants of the crystallizer are considered: in the first, the solution is supplied to the central crystal part, in the second, there is a peripheral solution supply along the crystallizer perimeter, what provides creating its swirling flow. The calculation models corresponded to the laminar and turbulent regimes of the solution flow during the mixed KCNSH crystal growth from a mixture of two water-salt solutions (cobalt KCSH and nickel KNSH salts).

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Swan de Freitas, Caio, Vinicius L. Vileti, Paulo de Tarso T. Esperança, and Sergio H. Sphaier. "Experimental and Numerical Evaluation of Manoeuvring Capability of an AHTS Using Free-Running Tests." In ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/omae2018-77637.

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Investigating the hydrodynamics of a ship manoeuvring is a continuing concern for researchers. In recent years, with the growth of the operations complexity, understanding the hydrodynamics of a ship manoeuvring has become a central issue for supply vessels operating in close proximity of oil platforms. One of the main obstacles in understanding this problem is the difficulty of reproducing the manoeuvring on real ships with acceptable measurements, uncertainties and environmental control, not to mention the cost involved. A natural approach to address the issue is to run model tests, where it is possible to control a great number of variables. In the desire to develop new methods to evaluate hydrodynamic coefficients and to improve the understanding of the phenomena, this paper proposes different types of free-running tests to be conducted in an experimental ocean basin. An Anchor Handling Tug Supply Vessel (AHTS) scaled model was used to perform the classic turning circle and the novel turning eight, a substitute to the zigzag that fits in limited manoeuvring facilities. Optimizations of mathematical manoeuvring models were applied to estimate the hydrodynamic coefficients with a new proposed metric of manoeuvres comparison. Simulations results were compared with the experimental measurements of the model during the tests. The experimental tests were performed at LabOceano, the Ocean Technology Laboratory of the Federal University of Rio de Janeiro.

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Kelasidi, Eleni, Gard Elgenes, and Henrik Kilvær. "Fluid Parameter Identification for Underwater Snake Robots." In ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/omae2018-78070.

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Nowadays different types of unmanned underwater vehicles (UUVs), such as remotely operated vehicles (ROVs) and autonomous underwater vehicles (AUVs), are widely used for sub-sea inspection, maintenance, and repair (IMR) operations in the oil and gas industry, archaeology, oceanography and marine biology. Also, lately, the development of underwater snake robots (USRs) shows promising results towards extending the capabilities of conventional UUVs. The slender and multi-articulated body of USRs allows for operation in tight spaces where other traditional UUVs are incapable of operating. However, the mathematical model of USRs is more challenging compared to models of ROVs and AUVs, because of its multi-articulated body. It is important to develop accurate models for control design and analysis, to ensure the desired behaviour and to precisely investigate the locomotion efficiency. Modelling the hydrodynamics poses the major challenge since it includes complex and non-linear hydrodynamic effects. The existing analytical models for USRs consider theoretical values for the fluid coefficients and thus they only provide a rough prediction of the effects of hydrodynamics on swimming robots. In order to obtain an accurate prediction of the hydrodynamic forces acting on the links of the USRs, it is necessary to obtain the fluid coefficients experimentally. This paper determines the drag and added mass co-efficients of a general planar model of USRs. In particular, this paper presents methods for identifying fluid parameters based on both computational fluid dynamic (CFD) simulations and several experimental approaches. Additionally, in this paper, we investigate variations of the drag force modelling, providing more accurate representations of the hydrodynamic drag forces. The obtained fluid coefficients are compared to the existing estimates of fluid coefficients for a general model of USRs.

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Emmanuel- Douglas, Ibiba. "A Generalized Mathematical Procedure for Ship Motion Stability Analysis." In ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/omae2009-79041.

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The challenges of providing safe and high performance marine vehicles present strict and often conflicting constraints that require rational and holistic analysis methodologies to obtain efficient design solutions. This paper presents a mathematical framework for stability analysis, which is one of the key elements in the design and operation of ships and floating bodies that still require considerable improvement. The method is based on the application of the Lyapunov stability analysis concept, which has been highly successful in some other engineering and scientific disciplines. The paper presents the fundamental concepts on the applicability of the Lyapunov method to ship motions stability analysis. Governing mathematical models are derived from first principles and interpreted in the context of geometrical and physical interrelationships. The analytical models are primarily developed for the generalized case of non-linear forced non-conservative systems and simplified by linearization in the case of coupled motion for detailed analysis and characterization of stability conditions and domain. The concept of “motion boundedness” is introduced to satisfy requirements of the Lyapunov method to ship motions subjected to continuous excitations. The analysis leads to some valuable deductions and insight that would be useful in the formulation of stability criteria for ships and marine vehicles in general. The most significant contribution is the possibility of explicit determination of geometric and hydrostatics/hydrodynamics parameters that govern ship stability characteristics.

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Tascon, Oscar D., Jaime D. Mora, and Roberto J. Algarin. "Simulation of the Dynamic Behavior of Ships Based on Slender-Body Theory (SBT)." In ASME 2013 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/dscc2013-4056.

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One of the aims of the Colombian Ministry of Defense in the field of science and technology is to develop and build in-house simulators for training. An important prerequisite in the development of these types of simulators is to have accurate knowledge about the forces that act on the particular type of ship being considered. In the pursuit of this objective, the Science & Technology Corporation for the Development of the Shipbuilding Industry in Colombia — COTECMAR has established a research program for the development of physics-based models to predict the generalized forces acting on maneuvering ships. The following article proposes a mathematical model capable of providing the simulator with calculations for the hydrodynamic forces acting on three types of ships: displacement ships, submarines and planning hulls. Derived from slender-body theory (SBT), the mathematical model presented minimizes computational time and eliminates the need for experimental data, making it possible to use the calculation of hydrodynamics forces at the initial stages of design when the geometry of the ship is constantly revised and the effect of those changes in the dynamic performance of the ship needs to be assessed. The article explains the mathematical model proposed and its modular nature, compares existing numerical and experimental data with results obtained from this study for the three case studies selected: displacement ships, submarines and planing hulls.

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Sánchez, Salvador, Gabriel Ascanio, Juan P. Aguayo, and Felipe Sánchez-Minero. "Numerical Analysis of Thermal Effects Induced in the Hydrodynamics of the Heavy Oil Transport." In ASME 2018 5th Joint US-European Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/fedsm2018-83061.

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In the present work, thermal effects induced in the hydrodynamics of heavy oil transport in pipelines are analyzed. Here, the thermal dependence of the dynamic viscosity and the mechanical heating caused by viscous dissipation are taking into account; therefore, the mathematical models that represent the study are solved in a coupled manner, evaluating at the same time both, the flow field inside of the pipeline, as well as, its corresponding heat transfer processes with respect to the environment. In order to conduct the analysis properly, numerical solutions are obtained in dimensionless way, and three main dimensionless parameters are defined; namely, β, Λ and Br, which represent the ratio of the internal radius to the length of the pipeline, the thermal conductivity for the diffusive heat transfer process in the conjugated system pipeline-thermal insulation (soil), and the Brinkman number associated to the mechanical heating, respectively. The main results reveal that, when heavy oils (extra-viscous fluids) are transported in pipelines, until a small reduction in their temperature generate substantial increment in the dynamic viscosity, and consequently, the flow rate is reduced in comparison with predictions considering a full thermal insulation condition (adiabatic process). Hence, we can conclude that during the transport of heavy oil the heat transfer and its effects over the flow field have to be estimated and controlled, this with the aim of having an efficient transport.

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Grassi, Ana Giulia F., Rodrigo S. Lavieri, Adriano A. P. Pereira, and Eduardo A. Tannuri. "CFD and Experimental Analysis of Current Forces of Pusher-Barge Systems." In ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/omae2013-10404.

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The water transportation of cargo is, among several possible modes of transportation, the most economically and environmentally efficient. Adding technology to pusher-barge systems increases the efficiency of this form of transport. It is not only limited to the design and manufacturing process, but extends to the training of commanders and crews. An efficient way to ensure this training is immersion in virtual scenarios that simulate reality. To have realistic response of the simulator to external commands and boundary conditions, it is necessary to understand the hydrodynamics of the pusher-barge system in its various working conditions. This paper presents results and discussions on the hydrodynamics of a river pusher-barge system based on computational results from CFD (Computational Fluid Dynamics) and experimental results from towing tank test using small scale model. Initially the coefficients of current forces acting on the vessel in the horizontal plane (surge, sway and yaw) obtained by the two methods are presented. Several current incident angles were analyzed in the following cases: two drafts (ballasted and full-loaded), three configurations of barges (1 × 1, 2 × 1 and 2 × 2) and two water depths. Next, the results are compared and the divergences due to small difference in geometry and scale effects are analyzed. The hypotheses formulated for possible causes of the divergences are grounded through mathematical and experimental models and simulations. To cancel these effects and perform validation of CFD, new simulations are presented with similar geometry to the model tested.

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Moretti, Giacomo, David Forehand, Rocco Vertechy, Marco Fontana, and David Ingram. "Modeling of an Oscillating Wave Surge Converter With Dielectric Elastomer Power Take-Off." In ASME 2014 33rd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/omae2014-23559.

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This paper introduces a novel concept of Oscillating Wave Surge Converter, named Poly-Surge, provided with a Dielectric Elastomer Generator (DEG) as Power Take-Off (PTO) system. DEGs are transducers that employ rubber-like polymers to conceive deformable membrane capacitors capable of directly converting mechanical energy into electricity. In particular, a Parallelogram Shaped DEG is considered. In the paper, a description of the Poly-Surge is outlined and engineering considerations about the operation and control of the device are presented. In addition, a mathematical model of the system is provided. Linear time-domain hydrodynamics is assumed for the primary interface, while a non linear electro-hyperelastic model is employed for the DEG PTO. A design approach for the Poly-Surge DEG PTO is introduced which aims at maximizing the energy produced in a year by the device in a reference wave climate, defined by a set of equivalent monochromatic wave conditions. A comparison is done with two other WEC models that employ the same primary interface but are equipped with mathematically linear PTO systems under optimal and suboptimal control. The results show promising performance of annual energy productivity, with slightly reduced values for the Poly-Surge, even if a very basic architecture and control strategy are assumed.

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Culp, David B., and Xia Ma. "Modeling Fragmentation within Pagosa Using Particle Methods." In 2019 15th Hypervelocity Impact Symposium. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/hvis2019-085.

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Abstract The mechanics involved in shock physics often involves materials undergoing large deformations being subjected to high strain rates and temperature variations. When considering high-velocity impacts and explosions, metals experience plastic flow, dynamic failures and fragmentation that are often too complex for a Lagrangian method, such as the finite element method, to properly resolve. Conversely, Eulerian methods are simple to setup, but often result in numerical diffusion errors [1]. These unpleasantries can be skirted by using an alternative technique that incorporates a blend of these aforementioned methods. FLIP+MPM (FLuid Implicit Particle + Material Point Method) employs Lagrangian points to track state quantities associated with materials as strength, as well as conserved quantities, such as mass. Concurrently, an Eulerian grid is used to calculate gradient fields and incorporate an algorithm that carries out the hydrodynamics [2]. By incorporating the FLIP+MPM method into Los Alamos National Laboratory’s Pagosa hydrodynamics code, massively parallel architectures may be employed to solve such problems as those including fragmentation, plastic flow and fluid-structure interaction. This paper will begin with a mathematical description of the FLIP+MPM technique and describe how it fits into Pagosa. After a description of the implementation, the capabilities of this numerical technique are highlighted by simulating fragmentation as a result of high velocity impacts and explosions. Several strength and damage models will be exercised to demonstrate the code’s flexibility. Comparison of the different models’ fragment size distributions are given and discussed.

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Yeung, Ronald W., Antoine Peiffer, Nathan Tom, and Tomasz Matlak. "Analysis, Design, and Evaluation of the UC-Berkeley Wave-Energy Extractor." In ASME 2010 29th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/omae2010-20492.

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This paper evaluates the technical feasibility and performance characteristics of an ocean-wave energy to electrical energy conversion device that is based on a moving linear generator. The UC-Berkeley design consists of a cylindrical floater, acting as a rotor, which drives a stator consisting of two banks of wound coils. The performance of such a device in waves depends on the hydrodynamics of the floater, the motion of which is strongly coupled to the electromagnetic properties of the generator. Mathematical models are developed to reveal the critical hurdles that can affect the efficiency of the design. A working physical unit is also constructed. The linear generator is first tested in a dry environment to quantify its performance. The complete physical floater and generator system is then tested in a wave tank with a computer-controlled wavemaker. Measurements are compared with theoretical predictions to allow an assessment of the viability of the design and future directions for improvements.

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