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Smoothed Particle Hydrodynamics

Author: Carlos Alberto Dutra Fraga Filho

Publisher: Springer

Published: 2018-11-30

Total Pages: 147

ISBN-13: 3030007731

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.

Smoothed Particle Hydrodynamics

Author: Gui-Rong Liu

Publisher: World Scientific

Published: 2003

Total Pages: 473

ISBN-13: 9812384561

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This is the first-ever book on smoothed particle hydrodynamics (SPH) and its variations, covering the theoretical background, numerical techniques, code implementation issues, and many novel and interesting applications. It contains many appealing and practical examples, including free surface flows, high explosive detonation and explosion, underwater explosion and water mitigation of explosive shocks, high velocity impact and penetration, and multiple scale simulations coupled with the molecular dynamics method. An SPH source code is provided and coupling of SPH and molecular dynamics is discussed for multiscale simulation, making this a friendly book for readers and SPH users.

Smoothed Particle Hydrodynamics

Author: Gui-Rong Liu

Publisher: World Scientific

Published: 2003

Total Pages: 476

ISBN-13: 9789812564405

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The Numerical Modelling of Nonlinear Stellar Pulsations

Author: J. Robert Buchler

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 372

ISBN-13: 940090519X

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This interdisciplinary meeting has brought together a group of astrophysicists with hands-on experience in the numerical computation of astrophysical fluid dynamics, in particular nonlinear stellar pulsations, and a group of applied mathematicians who are actively engaged with the development of novel and improved numerical methods. The goal of the workshop has been for the astrophysicists to discuss in detail the numerical problems encountered in the modelling of stellar pulsations and for the mathematicians to present a survey of recent developments in numerical techniques. This astrophysical-mathematical intercourse will help the astrophysicists in the future development of more reliable and efficient codes, on the one hand, and it has introduced the mathematicians to an unfamiliar area which is a tough testing ground for their techniques. Since the difficulties encountered are common to other fluid dynamics problems, and are in fact perhaps more severe, fluid dynamicists in other research areas may fmd the results of this workshop of interest as well. Much of our theoretical understanding of the intricate and interesting behavior of variable stars rests on our ability to perform accurate numerical hydrodynamical computations of stellar models. Extensive calculations of nonlinear radial stellar pulsations with the use of increasingly powerful computers are showing more and more clearly that the numerical codes in current use have serious deficiencies.

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.

A Smoothed Particle Hydrodynamics Method for the Simulation of Centralized Sloshing Experiments

Author: Alexander Vorobyev

Publisher: KIT Scientific Publishing

Published: 2014-07-31

Total Pages: 144

ISBN-13: 3866449534

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The Smoothed Particle Hydrodynamics (SPH) method is proposed for studying hydrodynamic processes related to nuclear engineering problems. A problem of possible recriticality due to the sloshing motions of the molten reactor core is studied with SPH method. The accuracy of the numerical solution obtained in this study with the SPH method is significantly higher than that obtained with the SIMMER-III/IV reactor safety analysis code.

Predictive Modeling of Dynamic Processes

Author: Stefan Hiermaier

Publisher: Springer Science & Business Media

Published: 2009-07-09

Total Pages: 463

ISBN-13: 1441907270

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Predictive Modeling of Dynamic Processes provides an overview of hydrocode technology, applicable to a variety of industries and areas of engineering design. Covering automotive crash, blast impact, and hypervelocity impact phenomena, this volume offers readers an in-depth explanation of the fundamental code components. Chapters include informative introductions to each topic, and explain the specific requirements pertaining to each predictive hydrocode. Successfully blending crash simulation, hydrocode technology and impact engineering, this volume fills a gap in the current competing literature available.

Simulation of Additive Manufacturing using Meshfree Methods

Author: Christian Weißenfels

Publisher: Springer Nature

Published: 2021-10-29

Total Pages: 207

ISBN-13: 3030873374

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This book provides a detailed instruction to virtually reproduce the processes of Additive Manufacturing on a computer. First, all mathematical equations needed to model these processes are presented. Due to their flexibility, meshfree methods represent optimal computational solution schemes to simulate Additive Manufacturing processes. On the other hand, these methods usually do not guarantee an accurate solution. For this reason, this monograph is dedicated in detail to the necessary criteria for computational solution schemes to provide accurate results. Several meshfree methods are examined with respect to these conditions. Two different 3D printing techniques are presented in detail. The results obtained from the simulation are investigated and compared with experimental data. This work is addressed to both scientists and professionals working in the field of development who are interested to learn the secrets behind meshfree methods or get into the modeling of Additive Manufacturing.

The Theory of Space, Time and Gravitation

Author: V. Fock

Publisher: Elsevier

Published: 2015-08-11

Total Pages: 461

ISBN-13: 1483184900

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The Theory of Space, Time, and Gravitation, 2nd Revised Edition focuses on Relativity Theory and Einstein's Theory of Gravitation and correction of the misinterpretation of the Einsteinian Gravitation Theory. The book first offers information on the theory of relativity and the theory of relativity in tensor form. Discussions focus on comparison of distances and lengths in moving reference frames; comparison of time differences in moving reference frames; position of a body in space at a given instant in a fixed reference frame; and proof of the linearity of the transformation linking two inertial frames. The text then ponders on general tensor analysis, including permissible transformations for space and time coordinates, parallel transport of a vector, covariant differentiation, and basic properties of the curvature tensor. The publication examines the formulation of relativity theory in arbitrary coordinates and principles of the theory of gravitation. Topics include equations of mathematical physics in arbitrary coordinates; integral form of the conservation laws in arbitrary coordinates; variational principle and the energy tensor; and comparison with the statement of the problem in Newtonian theory. The manuscript is a dependable reference for readers interested in the theory of space, time, and gravitation.

Computer Simulation Using Particles

Author: R.W Hockney

Publisher: CRC Press

Published: 2021-03-24

Total Pages: 566

ISBN-13: 9781439822050

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Computer simulation of systems has become an important tool in scientific research and engineering design, including the simulation of systems through the motion of their constituent particles. Important examples of this are the motion of stars in galaxies, ions in hot gas plasmas, electrons in semiconductor devices, and atoms in solids and liquids. The behavior of the system is studied by programming into the computer a model of the system and then performing experiments with this model. New scientific insight is obtained by observing such computer experiments, often for controlled conditions that are not accessible in the laboratory. Computer Simulation using Particles deals with the simulation of systems by following the motion of their constituent particles. This book provides an introduction to simulation using particles based on the NGP, CIC, and P3M algorithms and the programming principles that assist with the preparations of large simulation programs based on the OLYMPUS methodology. It also includes case study examples in the fields of astrophysics, plasmas, semiconductors, and ionic solids as well as more detailed mathematical treatment of the models, such as their errors, dispersion, and optimization. This resource will help you understand how engineering design can be assisted by the ability to predict performance using the computer model before embarking on costly and time-consuming manufacture.