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| Author | : Gui-Rong Liu |
| Publisher | : World Scientific |
| Total Pages | : 476 |
| Release | : 2003 |
| Genre | : Science |
| ISBN | : 9789812564405 |
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.
| Author | : Shaofan Li |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 509 |
| Release | : 2007-03-07 |
| Genre | : Mathematics |
| ISBN | : 3540222561 |
Meshfree Particle Methods is a comprehensive and systematic exposition of particle methods, meshfree Galerkin and partitition of unity methods, molecular dynamics methods, and multiscale methods. Most theories, computational formulations, and simulation results presented are recent developments in meshfree methods. They were either just published recently or even have not been published yet, many of them resulting from the authors ́ own research. The presentation of the technical content is heuristic and explanatory with a balance between mathematical rigor and engineering practice. It can be used as a graduate textbook or a comprehensive source for researchers, providing the state of the art on Meshfree Particle Methods.
| Author | : Stefan Hiermaier |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 463 |
| Release | : 2009-07-09 |
| Genre | : Science |
| ISBN | : 1441907270 |
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.
| Author | : Carlos Alberto Dutra Fraga Filho |
| Publisher | : Springer |
| Total Pages | : 147 |
| Release | : 2018-11-30 |
| Genre | : Science |
| ISBN | : 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.
| Author | : Damien Violeau |
| Publisher | : Oxford University Press |
| Total Pages | : 611 |
| Release | : 2012-05-03 |
| Genre | : Science |
| ISBN | : 0199655529 |
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.
| Author | : Michael Griebel |
| Publisher | : Springer |
| Total Pages | : 240 |
| Release | : 2017-04-05 |
| Genre | : Computers |
| ISBN | : 3319519549 |
There have been substantial developments in meshfree methods, particle methods, and generalized finite element methods since the mid 1990s. The growing interest in these methods is in part due to the fact that they offer extremely flexible numerical tools and can be interpreted in a number of ways. For instance, meshfree methods can be viewed as a natural extension of classical finite element and finite difference methods to scattered node configurations with no fixed connectivity. Furthermore, meshfree methods have a number of advantageous features that are especially attractive when dealing with multiscale phenomena: A-priori knowledge about the solution’s particular local behavior can easily be introduced into the meshfree approximation space, and coarse scale approximations can be seamlessly refined by adding fine scale information. However, the implementation of meshfree methods and their parallelization also requires special attention, for instance with respect to numerical integration.
| Author | : G.R. Liu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 497 |
| Release | : 2005-12-05 |
| Genre | : Technology & Engineering |
| ISBN | : 1402034687 |
The finite difference method (FDM) hasbeen used tosolve differential equation systems for centuries. The FDM works well for problems of simple geometry and was widely used before the invention of the much more efficient, robust finite element method (FEM). FEM is now widely used in handling problems with complex geometry. Currently, we are using and developing even more powerful numerical techniques aiming to obtain more accurate approximate solutions in a more convenient manner for even more complex systems. The meshfree or meshless method is one such phenomenal development in the past decade, and is the subject of this book. There are many MFree methods proposed so far for different applications. Currently, three monographs on MFree methods have been published. Mesh Free Methods, Moving Beyond the Finite Element Method d by GR Liu (2002) provides a systematic discussion on basic theories, fundamentals for MFree methods, especially on MFree weak-form methods. It provides a comprehensive record of well-known MFree methods and the wide coverage of applications of MFree methods to problems of solids mechanics (solids, beams, plates, shells, etc.) as well as fluid mechanics. The Meshless Local Petrov-Galerkin (MLPG) Method d by Atluri and Shen (2002) provides detailed discussions of the meshfree local Petrov-Galerkin (MLPG) method and itsvariations. Formulations and applications of MLPG are well addressed in their book.
| Author | : Eugenio Oñate |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 275 |
| Release | : 2011-02-17 |
| Genre | : Science |
| ISBN | : 9400707355 |
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.
| Author | : Youping Chen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 211 |
| Release | : 2006-12-31 |
| Genre | : Science |
| ISBN | : 0387333681 |
This book covers the fundamentals of continuum mechanics, the integral formulation methods of continuum problems, the basic concepts of finite element methods, and the methodologies, formulations, procedures, and applications of various meshless methods. It also provides general and detailed procedures of meshless analysis on elastostatics, elastodynamics, non-local continuum mechanics and plasticity with a large number of numerical examples. Some basic and important mathematical methods are included in the Appendixes. For readers who want to gain knowledge through hands-on experience, the meshless programs for elastostatics and elastodynamics are provided on an included disc.
| Author | : G.R. Liu |
| Publisher | : CRC Press |
| Total Pages | : 715 |
| Release | : 2002-07-29 |
| Genre | : Mathematics |
| ISBN | : 1420040588 |
As we attempt to solve engineering problems of ever increasing complexity, so must we develop and learn new methods for doing so. The Finite Difference Method used for centuries eventually gave way to Finite Element Methods (FEM), which better met the demands for flexibility, effectiveness, and accuracy in problems involving complex geometry. Now,
