Multiphysics and Multiscale Modeling
Title | Multiphysics and Multiscale Modeling PDF eBook |
Author | Young W. Kwon |
Publisher | CRC Press |
Pages | 442 |
Release | 2015-10-05 |
Genre | Science |
ISBN | 1498782523 |
Written to appeal to a wide field of engineers and scientists who work on multiscale and multiphysics analysis, Multiphysics and Multiscale Modeling: Techniques and Applications is dedicated to the many computational techniques and methods used to develop man-made systems as well as understand living systems that exist in nature. Presenting a body
Multiscale Modeling and Simulation in Science
Title | Multiscale Modeling and Simulation in Science PDF eBook |
Author | Björn Engquist |
Publisher | Springer Science & Business Media |
Pages | 332 |
Release | 2009-02-11 |
Genre | Computers |
ISBN | 3540888578 |
Most problems in science involve many scales in time and space. An example is turbulent ?ow where the important large scale quantities of lift and drag of a wing depend on the behavior of the small vortices in the boundarylayer. Another example is chemical reactions with concentrations of the species varying over seconds and hours while the time scale of the oscillations of the chemical bonds is of the order of femtoseconds. A third example from structural mechanics is the stress and strain in a solid beam which is well described by macroscopic equations but at the tip of a crack modeling details on a microscale are needed. A common dif?culty with the simulation of these problems and many others in physics, chemistry and biology is that an attempt to represent all scales will lead to an enormous computational problem with unacceptably long computation times and large memory requirements. On the other hand, if the discretization at a coarse level ignoresthe?nescale informationthenthesolutionwillnotbephysicallymeaningful. The in?uence of the ?ne scales must be incorporated into the model. This volume is the result of a Summer School on Multiscale Modeling and S- ulation in Science held at Boso ¤n, Lidingo ¤ outside Stockholm, Sweden, in June 2007. Sixty PhD students from applied mathematics, the sciences and engineering parti- pated in the summer school.
Principles of Multiscale Modeling
Title | Principles of Multiscale Modeling PDF eBook |
Author | Weinan E |
Publisher | Cambridge University Press |
Pages | 485 |
Release | 2011-07-07 |
Genre | Mathematics |
ISBN | 1107096545 |
A systematic discussion of the fundamental principles, written by a leading contributor to the field.
Multiscale Modelling and Simulation
Title | Multiscale Modelling and Simulation PDF eBook |
Author | Sabine Attinger |
Publisher | Springer Science & Business Media |
Pages | 304 |
Release | 2004-07-12 |
Genre | Mathematics |
ISBN | 9783540211808 |
In August 2003, ETHZ Computational Laboratory (CoLab), together with the Swiss Center for Scientific Computing in Manno and the Università della Svizzera Italiana (USI), organized the Summer School in "Multiscale Modelling and Simulation" in Lugano, Switzerland. This summer school brought together experts in different disciplines to exchange ideas on how to link methodologies on different scales. Relevant examples of practical interest include: structural analysis of materials, flow through porous media, turbulent transport in high Reynolds number flows, large-scale molecular dynamic simulations, ab-initio physics and chemistry, and a multitude of others. Though multiple scale models are not new, the topic has recently taken on a new sense of urgency. A number of hybrid approaches are now created in which ideas coming from distinct disciplines or modelling approaches are unified to produce new and computationally efficient techniques.
Computational Multiscale Modeling of Fluids and Solids
Title | Computational Multiscale Modeling of Fluids and Solids PDF eBook |
Author | Martin Oliver Steinhauser |
Publisher | Springer Science & Business Media |
Pages | 863 |
Release | 2008 |
Genre | Science |
ISBN | 3540751165 |
The idea of the book is to provide a comprehensive overview of computational physics methods and techniques, that are used for materials modeling on different length and time scales. Each chapter first provides an overview of the physical basic principles which are the basis for the numerical and mathematical modeling on the respective length-scale. The book includes the micro-scale, the meso-scale and the macro-scale. The chapters follow this classification. The book will explain in detail many tricks of the trade of some of the most important methods and techniques that are used to simulate materials on the perspective levels of spatial and temporal resolution. Case studies are occasionally included to further illustrate some methods or theoretical considerations. Example applications for all techniques are provided, some of which are from the author’s own contributions to some of the research areas. Methods are explained, if possible, on the basis of the original publications but also references to standard text books established in the various fields are mentioned.
Multiscale Modeling of Heterogeneous Structures
Title | Multiscale Modeling of Heterogeneous Structures PDF eBook |
Author | Jurica Sorić |
Publisher | Springer |
Pages | 374 |
Release | 2017-11-30 |
Genre | Science |
ISBN | 3319654632 |
This book provides an overview of multiscale approaches and homogenization procedures as well as damage evaluation and crack initiation, and addresses recent advances in the analysis and discretization of heterogeneous materials. It also highlights the state of the art in this research area with respect to different computational methods, software development and applications to engineering structures. The first part focuses on defects in composite materials including their numerical and experimental investigations; elastic as well as elastoplastic constitutive models are considered, where the modeling has been performed at macro- and micro levels. The second part is devoted to novel computational schemes applied on different scales and discusses the validation of numerical results. The third part discusses gradient enhanced modeling, in particular quasi-brittle and ductile damage, using the gradient enhanced approach. The final part addresses thermoplasticity, solid-liquid mixtures and ferroelectric models. The contents are based on the international workshop “Multiscale Modeling of Heterogeneous Structures” (MUMO 2016), held in Dubrovnik, Croatia in September 2016.
Multiphysics and Multiscale Modeling
Title | Multiphysics and Multiscale Modeling PDF eBook |
Author | Young W. Kwon |
Publisher | CRC Press |
Pages | 426 |
Release | 2015-10-05 |
Genre | Science |
ISBN | 1482244594 |
Written to appeal to a wide field of engineers and scientists who work on multiscale and multiphysics analysis, Multiphysics and Multiscale Modeling: Techniques and Applications is dedicated to the many computational techniques and methods used to develop man-made systems as well as understand living systems that exist in nature. Presenting a body