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Semi-Lagrangian Advection Methods and Their Applications in Geoscience
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ISBN: 0128172223 0128172231 9780128172230 9780128172223 Year: 2020 Publisher: Amsterdam Elsevier

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"Semi-Lagrangian Advection Methods and Their Applications in Geoscience provides a much-needed resource on semi-Lagrangian theory, methods, and application. Covering a variety of applications, the book brings together developments of the semi-Lagrangian in one place and offers a comparison of semi-Lagrangian methods with Eulerian-based approaches. It also includes a chapter dedicated to difficulties of dealing with the adjoint of semi-Lagrangian methods and illustrates the behaviour of different schemes for different applications. This allows for a better understanding of which schemes are most efficient, stable, consistent, and likely to introduce the minimum model error into a given problem. Beneficial for students learning about numerical approximations to advection, researchers applying these techniques to geoscientific modeling, and practitioners looking for the best approach for modeling, Semi-Lagrangian Advection Methods and Their Applications in Geoscience fills a crucial gap in numerical modeling and data assimilation in geoscience. Provides a single resource for understanding semi-Lagrangian methods and what is involved in its application. Includes exercises and codes to supplement learning and create opportunities for practice Includes coverage of adjoints, examining the advantages and disadvantages of different approaches in multiple coordinate systems and different discretizations. Includes links to numerical datasets and animations to further enhance understanding"--

Lagrangian analysis and prediction of coastal and ocean dynamics
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ISBN: 9780521870184 9780511535901 9780511275586 0511275587 0511274882 9780511274886 0511273355 9780511273353 0511274149 9780511274145 1280815760 9781280815768 0511535902 0521870186 1107171563 9786610815760 0511321082 Year: 2007 Publisher: Cambridge Cambridge University Press

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Written by a group of international experts in their field, this book is a review of Lagrangian observation, analysis and assimilation methods in physical and biological oceanography. This multidisciplinary text presents new results on nonlinear analysis of Lagrangian dynamics, the prediction of particle trajectories, and Lagrangian stochastic models. It includes historical information, up-to-date developments, and speculation on future developments in Lagrangian-based observations, analysis, and modeling of physical and biological systems. Containing contributions from experimentalists, theoreticians, and modellers in the fields of physical oceanography, marine biology, mathematics, and meteorology, this book will be of great interest to researchers and graduate students looking for both practical applications and information on the theory of transport and dispersion in physical systems, biological modelling, and data assimilation.


Book
Recent progress in the theory of the Euler and Navier-Stokes equations
Authors: --- --- ---
ISBN: 1316589919 1316590100 1316407101 1316591247 1316590291 1316590488 1316588777 9781316407103 9781316591246 9781316590485 9781316591055 1316591050 9781107554979 1107554977 Year: 2016 Publisher: Cambridge

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The rigorous mathematical theory of the Navier-Stokes and Euler equations has been a focus of intense activity in recent years. This volume, the product of a workshop in Venice in 2013, consolidates, surveys and further advances the study of these canonical equations. It consists of a number of reviews and a selection of more traditional research articles on topics that include classical solutions to the 2D Euler equation, modal dependency for the 3D Navier-Stokes equation, zero viscosity Boussinesq equations, global regularity and finite-time singularities, well-posedness for the diffusive Burgers equations, and probabilistic aspects of the Navier-Stokes equation. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. The book serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.


Book
Numerical methods for Eulerian and Lagrangian conservation laws
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ISBN: 3319503553 3319503545 Year: 2017 Publisher: Cham : Springer International Publishing : Imprint: Birkhäuser,

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This book focuses on the interplay between Eulerian and Lagrangian conservation laws for systems that admit physical motivation and originate from continuum mechanics. Ultimately, it highlights what is specific to and beneficial in the Lagrangian approach and its numerical methods. The two first chapters present a selection of well-known features of conservation laws and prepare readers for the subsequent chapters, which are dedicated to the analysis and discretization of Lagrangian systems. The text is at the frontier of applied mathematics and scientific computing and appeals to students and researchers interested in Lagrangian-based computational fluid dynamics. It also serves as an introduction to the recent corner-based Lagrangian finite volume techniques.

Computer simulation of shaped charge problems
Authors: ---
ISBN: 1281908967 9786611908966 9812707131 9789812707130 9781281908964 9812566236 9789812566232 Year: 2006 Publisher: Singapore Hackensack, NJ World Scientific

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Devoted to the subject of shape charge design using numerical methods, this book offers the defense and commercial industries unique material not contained in any other single volume. The coverage of the Lagrangian and Eulerian methods as well as the equation of state provides first hand help to engineers working on shape charge problems.The book includes detailed descriptions of oil-well perforation not available from any other sources and, coupled with the material flow physics discussed in Chapters 2 and 3 and Appendix B, readers can design the fuel rod configurations for a nuclear reactor


Book
The principle of least action
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ISBN: 1108299547 1108297943 1108299865 1139021028 1108301789 1108300189 1108300502 9781108301787 9781139021029 9781108300506 0521869021 9780521869027 Year: 2017 Publisher: Cambridge Cambridge University Press

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The principle of least action originates in the idea that, if nature has a purpose, it should follow a minimum or critical path. This simple principle, and its variants and generalizations, applies to optics, mechanics, electromagnetism, relativity, and quantum mechanics, and provides an essential guide to understanding the beauty of physics. This unique text provides an accessible introduction to the action principle across these various fields of physics, and examines its history and fundamental role in science. It includes - with varying levels of mathematical sophistication - explanations from historical sources, discussion of classic papers, and original worked examples. The result is a story that is understandable to those with a modest mathematical background, as well as to researchers and students in physics and the history of physics.


Book
Solved Problems in Lagrangian and Hamiltonian Mechanics
Authors: --- ---
ISBN: 128038493X 9786613562852 9048123933 9048123925 9789048123926 9789048123933 Year: 2009 Publisher: Dordrecht Springer Netherlands

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The aim of this work is to bridge the gap between the well-known Newtonian mechanics and the studies on chaos, ordinarily reserved to experts. Several topics are treated: Lagrangian, Hamiltonian and Jacobi formalisms, studies of integrable and quasi-integrable systems. The chapter devoted to chaos also enables a simple presentation of the KAM theorem. All the important notions are recalled in summaries of the lectures. They are illustrated by many original problems, stemming from real-life situations, the solutions of which are worked out in great detail for the benefit of the reader. This book will be of interest to undergraduate students as well as others whose work involves mechanics, physics and engineering in general.

Schaum's outline of theory and problems of Lagrangian dynamics, : with a treatment of Euler's equations of motion, Hamilton's equations and Hamilton's principle
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ISBN: 0070692580 9780070692589 Year: 1967 Publisher: New York : Schaum Pub. Co.,

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