Modeling the behavior of complex media by jointly using discrete and continuum approaches
Modeling the behavior of complex media by jointly using discrete and continuum approaches
复制标题
联合使用离散和连续方法对复杂介质的行为进行建模
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
M. Chertov
中科院分区：
文献类型：
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作者：
S. Psakhie;A. Smolin;Y. Stefanov;P. Makarov;M. Chertov
我们提出了一种新的方法来建模的异质介质的行为，根据这种对象表示为两种类型的区域组成，一个被描述的离散的框架内，和其他的，一个连续的方法。这种联合方法是很有前途的数值模拟的复杂介质的强烈不同属性的组件。通过研究弹性波在双组分介质中的传播，验证了所提出方法的可行性，其中离散组分由可移动元胞自动机方法模拟，连续组分由有限差分法求解的连续体运动方程组描述。计算结果表明，该方法提供了足够的描述弹性波在复杂介质中的传播，并没有引入非物理的扭曲在边界处的两个模型相匹配。
We propose a new approach to modeling the behavior of heterogeneous media, according to which such objects are represented as composed of regions of two types, one being described within the framework of a discrete, and the other, a continuum approach. This joint approach is promising for the numerical modeling of complex media with strongly different properties of components. Possibilities of the proposed method were verified by studying the propagation of elastic waves in a two-component medium with a discrete component, modeled by the method of movable cellular automata, and a continuum component described by a system of equations of motion of continuum solved by the finite difference method. The results of calculations show that this approach provides adequate description of the propagation of elastic waves in complex media and does not introduce nonphysical distortions at the boundaries where the two models are matched.