Numerical Simulation of the Gravity-Inertial Spreading of Oil Using Smoothed Particle Hydrodynamics

Numerical Simulation of the Gravity-Inertial Spreading of Oil Using Smoothed Particle Hydrodynamics

Author: Carlos Alberto Dutra Fraga Filho

Publisher: Cambridge Scholars Publishing

Published: 2024-09-05

Total Pages: 190

ISBN-13: 1036409112

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Oil spills at sea are a severe environmental concern. They can occur during the various stages of well-drilling, repair operations or transportation. The spreading of oil occurs due to the pollutant's tendency to flow over itself. Knowledge of its physical properties during the phenomenon, such as velocities and spatial positions, allows the timely adoption of environmental protection measures. This book presents, in a simple and objective way, the development and implementation of purely Lagrangian numerical modelling using the Smoothed Particle Hydrodynamics (SPH) method for the study of the spreading of oil in its first stage (gravity-inertial regime) on a calm sea. The computational code's implementation and validation were carried out through the simulation of classical problems in the scientific literature, i.e., heat diffusion in a homogeneous flat plate, a still volume of water inside an immobile reservoir and a dam failure. From the coupling of the software with a collision detection and response algorithm, numerical results in concordance with the curve adjusted by James Fay (a pioneering scientist in the study of oil spills) for the prediction of oil slick diameters at the end of the gravity-inertial regime were achieved.


Smoothed Particle Hydrodynamics

Smoothed Particle Hydrodynamics

Author: Carlos Alberto Dutra Fraga Filho

Publisher: Springer

Published: 2018-11-30

Total Pages: 147

ISBN-13: 3030007731

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This book is based on results obtained over a decade of study and research. It questions the use of dynamic molecular models in the continuum scale providing alternative solutions to open problems in the literature. It provides a physical-mathematical understanding of the differential equations that govern fluid flow and energy transport, serving as a reference to the application of Smoothed Particle Hydrodynamics in continuum fluid mechanics and transport phenomena. The physical-mathematical modelling of the problems in the continuum scale and the employment of the SPH method for solving the equations are presented. Examples of applications in continuum fluid mechanics with numerical results and discussions are also provided. This literature defends the concepts of continuum mechanics and the application of boundary treatment techniques that do not violate the laws of physics.


Gravity Currents And Intrusions: Analysis And Prediction

Gravity Currents And Intrusions: Analysis And Prediction

Author: Marius Ungarish

Publisher: World Scientific

Published: 2020-12-08

Total Pages: 815

ISBN-13: 9811225966

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The flow of gravity currents and intrusions is a subject of active research and engineering application. Currently, there are no formal teaching courses for this topic. Materials and information available in the market are scattered and dated. Researchers and engineers face difficulties in acquiring the 'state-of-the-art' knowledge. The book bridges this gap between the need and supply of the relevant insight and know-how.Written by a renowned author who is a recognized authority in the field, this unique compendium assembles the relevant knowledge into a systematic and unified framework. The presentation is gradual from the elementary to the frontier, and accessible to readers with only a basic background in fluid mechanics and applied mathematics. This will facilitate the systematic acquirement and application of available knowledge to both practical problems and further research.This must-have volume is a useful monograph — that can also serve as a textbook in advanced courses — for researchers, students, engineers and applied mathematicians in the fields of civil engineering, hydraulic engineering, mechanical engineering, ocean engineering and environmental engineering.


Simulation of Oil Slick Transport in Great Lakes Connecting Channels

Simulation of Oil Slick Transport in Great Lakes Connecting Channels

Author: Hung Tao Shen

Publisher:

Published: 1990

Total Pages: 40

ISBN-13:

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Two-dimensional computer models for simulating oil slick movement in rivers and lakes were developed and then applied to the connecting channels of the upper Great Lakes. In these models the oil slick is considered to be a collection of discrete oil patches. The transformation of an oil slick due to advection, spreading, evaporation and dissolution are considered. In open-water regions the advection of oil patches in the slick are determined by the water current and wind using the drifting factor formulation. Formulas consider the balance of inertia, gravity, viscous and surface tension forces. The oil slick transformation model developed in this study contains as many processes as can be effectively and analytically modeled. The model has several special features, including the ability to model instantaneous and continuous spills, the ability to realistically describe the irregular shapes of an oil slick and the ability to account for the time-dependent variation of the flow conditions. The computer programs are designed so that it will be easy to refine the model elements and expand the model to include additional slick transformation processes. Keywords: Ice cover; Formulas mathematics; Oil spills/circulation; Turbulent diffusion, Transformations mathematics. (edc).


Drop-Surface Interactions

Drop-Surface Interactions

Author: Martin Rein

Publisher: Springer Science & Business Media

Published: 2002-10-30

Total Pages: 328

ISBN-13: 9783211836927

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This book presents a comprehensive overview of fluid mechanical, thermal and physico-chemical aspects of drop-surface interactions. Basic physical mechanisms pertaining to free-surface flow phenomena characteristic of drop impact on solid and liquid surfaces are explained emphasizing the importance of scaling. Moreover, physico-chemical fundamentals relating to a forced spreading of complex solutions, analytical tools for calculating compressibility effects, and heat transfer and phase change phenomena occurring during solidification and evaporation processes, respectively, are introduced in detail. Finally, numerical approaches particularly suited for modeling drop-surface interactions are consisely surveyed with a particular emphasis on boundary integral methods and Navier-Stokes algorithms (volume of fluid, level set and front tracking algorithms). The book is closed by contributions to a workshop on Drop-Surface Interactions held at the International Centre of Mechanical Sciences.


Numerical Simulation in Oil Recovery

Numerical Simulation in Oil Recovery

Author: Mary Fanett Wheeler

Publisher: Springer

Published: 1988

Total Pages: 304

ISBN-13:

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The papers of this book are based on a Symposium on Numerical Simulation in Oil Recovery held at the Institute for Mathematics and its Applications. The major research emphasis is on the modeling of fractures, heterogeneities, viscous fingering, and diffusion-dispersion effects in the flow in porous media. This volume contains seventeen comprehensive papers on the latest developments in this exciting subject. Its diverse presentation brings together the various disciplines of applied mathematics, chemical engineering, physics and hydrology.


Fluid Mechanics and the SPH Method

Fluid Mechanics and the SPH Method

Author: Damien Violeau

Publisher: Oxford University Press

Published: 2012-05-03

Total Pages: 611

ISBN-13: 0199655529

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This book presents the SPH method for fluid modelling from a theoretical and applied viewpoint. It explains the foundations of the method, from physical principles, and will help researchers, students, and engineers to understand how the method should be used and why it works well.


Twenty-Second Symposium on Naval Hydrodynamics

Twenty-Second Symposium on Naval Hydrodynamics

Author: National Research Council

Publisher: National Academies Press

Published: 2000-03-02

Total Pages: 1039

ISBN-13: 0309065372

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The Twenty-Second Symposium on Naval Hydrodynamics was held in Washington, D.C., from August 9-14, 1998. It coincided with the 100th anniversary of the David Taylor Model Basin. This international symposium was organized jointly by the Office of Naval Research (Mechanics and Energy Conversion S&T Division), the National Research Council (Naval Studies Board), and the Naval Surface Warfare Center, Carderock Division (David Taylor Model Basin). This biennial symposium promotes the technical exchange of naval research developments of common interest to all the countries of the world. The forum encourages both formal and informal discussion of the presented papers, and the occasion provides an opportunity for direct communication between international peers.