Описание: 1 Introduction.- 1.1 Objectives.- 1.2 State of the art.- 1.2.1 Eulerian and Lagrangian approaches for free surface flow analysis .- 1.2.2 Stabilization techniques.- 1.2.3 Algorithms for FSI problems.- 1.3 Numerical model.- 1.3.1 Reasons.- 1.3.2 Essential features.- 1.3.3 Outline.- 1.4 Publications.- 2 Velocity-based formulations for compressible materials.- 2.1 Velocity formulation.- 2.1.1 From the local form to the spatial semi-discretization.- 2.1.2 Time integration.- 2.1.3 Linearization.- 2.1.4 Incremental solution scheme.- 2.2 Mixed velocity-pressure formulation.- 2.2.1 Quasi-incompressible form of the continuity equation.- 2.2.2 Solution method.- 2.3 Hypoelasticity.- 2.3.1 Velocity formulation for hypoelastic solids.- 2.3.2 Mixed Velocity-Pressure formulation for hypoelastic solids.- 2.3.3 Theory of plasticity.- 2.3.3.1 Hypoelastic-plastic materials.- 2.3.4 Validation examples.- 2.4 Summary and conclusions.- 3 Unified stabilized formulation for quasi-incompressible materials.- 3.1 Stabilized FIC form of the mass balance equation.- 3.1.1 Governing equations.- 3.1.2 FIC mass balance equation in space and in time.- 3.1.3 FIC stabilized local form of the mass balance equation.- 3.1.4 Variational form.- 3.1.5 FEM discretization and matrix form.- 3.2 Solution scheme for quasi-incompressible Newtonian fluids.- 3.2.1 Governing equations.- 3.2.2 Solution scheme.- 3.3 Solution scheme for quasi-incompressible hypoelastic solids.- 3.4 Free surface flow analysis.- 3.4.1 The Partiele Finite Element Method.- 3.4.1.1 Remeshing.- 3.4.1.2 Basic steps.- 3.4.1.3 Advantages and disadvantages.- 3.4.2 Mass conservation analysis.- 3.4.2.1 Numerical examples.- 3.4.3 Analysis of the conditioning of the solution scheme.- 3.4.3.1 Drawbacks associated to the real bulk modulus.- 3.4.3.2 Optimum value for the pseudo bulk modulus.- 3.4.3.3 Numerical examples.- 3.5 Validation examples.- 3.5.1 Validation of the Unified formulation for Newtonian fluids.- 3.5.2 Validation of the Unified formulation for quasi-incompressible hypoelastic solids.- 3.6 Summary and conclusions.- 4 Unified formulation for F SI problems.- 4.1 Introduction.- 4.2 FSI algorithm.- 4.3 Coupling with the Velocity formulation for the solid.- 4.4 Coupling with the mixed Velocity-Pressure formulation for the solid.- 4.5 Numerical examples.- 4.6 Summary and conclusions.- 5 Coupled thermal-mechanical formulation.- 5.1 Introduction.- 5.2 Heat problem.- 5.2.1 FEM discretization and solution for a time step.- 5.3 Thermal coupling.- 5.3.1 Numerical examples.- 5.4 Phase change.- 5.4.1 Numerical example: melting of an ice block.- 5.5 Summary and conclusions.- 6 Industrial application: PFEM Analysis Model of NPP Severe Accident.- 6.1 Introduction.- 6.1.1 Assumptions allowed by the specification.- 6.2 Numerical method.- 6.3 Basic Model.- 6.3.1 Problem data.- 6.3.2 Preliminary study.- 6.3.3 Numerical results.- 6.4 Detailed model.- 6.4.1 Problem data.- 6.4.2 Preliminary study.- 6.4.3 Numerical results.- 6.5 Summary and conclusions.- 7 Conclusions and future lines of research.- 7.1 Contributions.- 7.2 Lines for future work.
Автор: Brizard Alain J Название: Introduction To Lagrangian Mechanics, An (2Nd Edition) ISBN: 9814623628 ISBN-13(EAN): 9789814623629 Издательство: World Scientific Publishing Рейтинг: Цена: 7603.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat`s Principle of Least Time (as an introduction to the Calculus of Variations)
Автор: Brizard Alain J Название: Introduction To Lagrangian Mechanics, An (2Nd Edition) ISBN: 981462361X ISBN-13(EAN): 9789814623612 Издательство: World Scientific Publishing Рейтинг: Цена: 12830.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat`s Principle of Least Time (as an introduction to the Calculus of Variations)
Автор: Gignoux Название: Solved Problems in Lagrangian and Hamiltonian Mechanics ISBN: 9048123925 ISBN-13(EAN): 9789048123926 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Intends to bridge the gap between the Newtonian mechanics and the studies on chaos. This title covers such topics as: Lagrangian, Hamiltonian and Jacobi formalisms, studies of integrable and quasi-integrable systems. It is suitable for undergraduate students as well as others whose work involves mechanics, physics and engineering in general.
Автор: Wells, D.a. Название: Schaum`s outline of lagrangian dynamics ISBN: 0070692580 ISBN-13(EAN): 9780070692589 Издательство: McGraw-Hill Рейтинг: Цена: 5146.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Includes 275 solved problems.
Автор: Claude Gignoux; Bernard Silvestre-Brac Название: Solved Problems in Lagrangian and Hamiltonian Mechanics ISBN: 9400791763 ISBN-13(EAN): 9789400791763 Издательство: Springer Рейтинг: Цена: 9141.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This work bridges 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.
Автор: John Lin Название: Lagrangian modeling of the atmosphere / ISBN: 0875904904 ISBN-13(EAN): 9780875904900 Издательство: Wiley Рейтинг: Цена: 17574.00 р. Наличие на складе: Поставка под заказ.
Описание:
Published by the American Geophysical Union as part of the Geophysical Monograph Series, Volume 200.
Trajectory-based ("Lagrangian") atmospheric transport and dispersion modeling has gained in popularity and sophistication over the previous several decades. It is common practice now for researchers around the world to apply Lagrangian models to a wide spectrum of issues.
Lagrangian Modeling of the Atmosphere is a comprehensive volume that includes sections on Lagrangian modeling theory, model applications, and tests against observations.
Published by the American Geophysical Union as part of the Geophysical Monograph Series.
Comprehensive coverage of trajectory-based atmospheric dispersion modeling
Important overview of a widely used modeling tool
Sections look at modeling theory, application of models, and tests against observations
Автор: Lee, Taeyoung Leok, Melvin Mcclamroch, N. Harris Название: Global formulations of lagrangian and hamiltonian dynamics on manifolds ISBN: 3319569511 ISBN-13(EAN): 9783319569512 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold.
Описание: This book treats the derivation and implementation of a unified particle finite element formulation for the solution of fluid and solid mechanics, Fluid-Structure Interaction (FSI) and coupled thermal problems.FSI problems are involved in many engineering branches, from aeronautics to civil and biomedical engineering. The numerical method proposed in this book has been designed to deal with a large part of these. In particular, it is capable of simulating accurately free-surface fluids interacting with structures that may undergo large displacements, suffer from thermo-plastic deformations and even melt. The method accuracy has been successfully verified in several numerical examples. The thesis also contains the application of the proposed numerical strategy for the simulation of a real industrial problem. This thesis, defended at the Universitat Politecnica de Catalunya in 2015, was selected (ex aequo) as the best PhD thesis in numerical methods in Spain for the year 2015 by the Spanish Society of Numerical Methods in Engineering (SEMNI).
Автор: Deriglazov Название: Classical Mechanics ISBN: 3319441469 ISBN-13(EAN): 9783319441467 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The revised edition of this advanced textbook provides the reader with a solid grounding in the formalism of classical mechanics, underlying a number of powerful mathematical methods that are widely used in modern theoretical and mathematical physics. It reviews the fundamentals of Lagrangian and Hamiltonian mechanics, and goes on to cover related topics such as canonical transformations, integral invariants, potential motion in geometric setting, symmetries, the Noether theorem and systems with constraints. While in some cases the formalism is developed beyond the traditional level adopted in the standard textbooks on classical mechanics, only elementary mathematical methods are used in the exposition of the material.
New material for the revised edition includes additional sections on the Euler-Lagrange equation, the Cartan two-form in Lagrangian theory, and Newtonian equations of motion in context of general relativity. Also new for this edition is the inclusion of problem sets and solutions to aid in the understanding of the material presented.
The mathematical constructions involved are explicitly described and explained, so the book is a good starting point for the student new to this field. Where possible, intuitive motivations are replaced by explicit proofs and direct computations, preserving the level of rigor that makes the book useful for more advanced students intending to work in one of the branches of the vast field of theoretical physics. To illustrate how classical-mechanics formalism works in other branches of theoretical physics, examples related to electrodynamics, as well as to relativistic and quantum mechanics, are included.
Автор: Joseph Hun-wei Lee; Vincent Chu Название: Turbulent Jets and Plumes ISBN: 1461350611 ISBN-13(EAN): 9781461350613 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Knowledge of turbulent mixing by jets and plumes is important for environmental control, impact and risk assessment.Turbulent Jets and Plumes introduces the fundamental concepts and develops a Lagrangian approach to model these shear flows.
Автор: Roger F. Gans Название: Engineering Dynamics ISBN: 1493944851 ISBN-13(EAN): 9781493944859 Издательство: Springer Рейтинг: Цена: 10447.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book introduces the formal mathematical development of Lagrangian mechanics (and its corollaries), while solving numerous engineering applications. Includes many solved examples and diagrams applying the principles to real engineering applications.
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