书目名称 | Multiscale Modeling and Simulation in Science |
编辑 | Björn Engquist,Per Lötstedt,Olof Runborg |
视频video | |
概述 | Includes supplementary material: |
丛书名称 | Lecture Notes in Computational Science and Engineering |
图书封面 |  |
描述 | 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 he |
出版日期 | Textbook 2009 |
关键词 | astrophysics; computational fluid dynamics; computational science and engineering; fast algorithms; flui |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-540-88857-4 |
isbn_softcover | 978-3-540-88856-7 |
isbn_ebook | 978-3-540-88857-4Series ISSN 1439-7358 Series E-ISSN 2197-7100 |
issn_series | 1439-7358 |
copyright | Springer-Verlag Berlin Heidelberg 2009 |