Smooth Particle Applied Mechanics
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Smooth Particle Applied Mechanics The State Of The Art
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Author : William Graham Hoover
language : en
Publisher: World Scientific
Release Date : 2006-11-02
Smooth Particle Applied Mechanics The State Of The Art written by William Graham Hoover and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-02 with Mathematics categories.
This book takes readers through all the steps necessary for solving hard problems in continuum mechanics with smooth particle methods. Pedagogical problems clarify the generation of initial conditions, the treatment of boundary conditions, the integration of the equations of motion, and the analysis of the results. Particular attention is paid to the parallel computing necessary for large problems and to the graphic displays, including debugging software, required for the efficient completion of computational projects.The book is self-contained, with summaries of classical particle mechanics and continuum mechanics for both fluids and solids, computer languages, the stability of numerical methods, Lyapunov spectra, and message-passing parallel computing. The main difficulties faced by meshless particle methods are discussed and the means of overcoming them are illustrated with worked examples.
Nonequilibrium Flows With Smooth Particle Applied Mechanics
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Author : Oyeon Kum
language : en
Publisher:
Release Date : 1995
Nonequilibrium Flows With Smooth Particle Applied Mechanics written by Oyeon Kum and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Nonequilibrium Flows With Smooth Particle Applied Mechanics
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Author :
language : en
Publisher:
Release Date : 2001
Nonequilibrium Flows With Smooth Particle Applied Mechanics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
Smooth particle methods are relatively new methods for simulating solid and fluid flows through they have a 20-year history of solving complex hydrodynamic problems in astrophysics, such as colliding planets and stars, for which correct answers are unknown. The results presented in this thesis evaluate the adaptability or fitness of the method for typical hydrocode production problems. For finite hydrodynamic systems, boundary conditions are important. A reflective boundary condition with image particles is a good way to prevent a density anomaly at the boundary and to keep the fluxes continuous there. Boundary values of temperature and velocity can be separately controlled. The gradient algorithm, based on differentiating the smooth particle expression for (u[rho]) and (T[rho]), does not show numerical instabilities for the stress tensor and heat flux vector quantities which require second derivatives in space when Fourier's heat-flow law and Newton's viscous force law are used. Smooth particle methods show an interesting parallel linking to them to molecular dynamics. For the inviscid Euler equation, with an isentropic ideal gas equation of state, the smooth particle algorithm generates trajectories isomorphic to those generated by molecular dynamics. The shear moduli were evaluated based on molecular dynamics calculations for the three weighting functions, B spline, Lucy, and Cusp functions. The accuracy and applicability of the methods were estimated by comparing a set of smooth particle Rayleigh-Benard problems, all in the laminar regime, to corresponding highly-accurate grid-based numerical solutions of continuum equations. Both transient and stationary smooth particle solutions reproduce the grid-based data with velocity errors on the order of 5%. The smooth particle method still provides robust solutions at high Rayleigh number where grid-based methods fails.
Molecular Dynamics Smooth Particle Applied Mechanics And Clausius Inequality
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Author :
language : en
Publisher:
Release Date : 1996
Molecular Dynamics Smooth Particle Applied Mechanics And Clausius Inequality written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Molelcular Dynamics Smooth Particle Applied Mechanics And Clausius Inequality
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Author :
language : en
Publisher:
Release Date : 1996
Molelcular Dynamics Smooth Particle Applied Mechanics And Clausius Inequality written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Recent developments in molecular dynamics furnish new interconnections among three classical fields: particle mechanics, continuum mechanics, and thermodynamics. The resulting links clarify the importance of Lyapunov instability to irreversibility.
Smoothed Particle Hydrodynamics
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Author : Carlos Alberto Dutra Fraga Filho
language : en
Publisher: Springer
Release Date : 2018-11-30
Smoothed Particle Hydrodynamics written by Carlos Alberto Dutra Fraga Filho and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-30 with Science categories.
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.
Particle Based Methods
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Author : Eugenio Oñate
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-17
Particle Based Methods written by Eugenio Oñate and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-17 with Science categories.
The book contains 11 chapters written by relevant scientists in the field of particle-based methods and their applications in engineering and applied sciences. The chapters cover most particle-based techniques used in practice including the discrete element method, the smooth particle hydrodynamic method and the particle finite element method. The book will be of interest to researchers and engineers interested in the fundamentals of particle-based methods and their applications.
Smoothed Particle Hydrodynamics
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Author : Gui-Rong Liu
language : en
Publisher: World Scientific
Release Date : 2003
Smoothed Particle Hydrodynamics written by Gui-Rong Liu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Technology & Engineering categories.
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
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Author : Gui-Rong Liu
language : en
Publisher: World Scientific
Release Date : 2003
Smoothed Particle Hydrodynamics written by Gui-Rong Liu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.
This is the first-ever book on smoothed particle hydrodynamics (SPH)and its variations, covering the theoretical background, numericaltechniques, code implementation issues, and many novel and interestingapplications.
Fluid Mechanics And The Sph Method
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Author : Damien Violeau
language : en
Publisher: Oxford University Press
Release Date : 2012-05-03
Fluid Mechanics And The Sph Method written by Damien Violeau and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-03 with Science categories.
This book presents the SPH method (Smoothed-Particle Hydrodynamics) for fluid modelling from a theoretical and applied viewpoint. It comprises two parts that refer to each other. The first one, dealing with the fundamentals of Hydraulics, is based on the elementary principles of Lagrangian and Hamiltonian Mechanics. The specific laws governing a system of macroscopic particles are built, before large systems involving dissipative processes are explained. The continua are discussed,