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ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352
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UNSTEADY ANALYSIS OF A HETEROGENEOUS MATERIAL USING THE MULTISCALE SEAMLESS-DOMAIN METHOD
Краткое описание
We present an unsteady analysis using the Seamless-Domain Method (SDM), which is a multiscale modeling technique. The SDM has previously been applied to steady-state problems to demonstrate that complicated behavior in a heterogeneous structure can be represented with relatively few points. In this article, an unsteady analysis is carried out using SDM in the space–time domain. This domain is assumed to be composed of repeating units called "space– time unit cells," which are discretized by coarse-grained points (CPs). The first step is a local analysis of the space–time domain consisting of multiple unit cells, which derives the space–time interpolation functions. The next step is a global analysis to obtain the variable distribution in the entire global domain using the interpolation functions. This two-scale analysis with respect to both space and time is computationally efficient, resulting in highly accurate solutions at low computational cost. A method that improves the computational accuracy by searching the optimum set of "reference CPs" given in the interpolation is also presented. We consider an example problem of two-dimensional thermal diffusion in a heterogeneous structure, and compute the solution using unsteady SDM and a conventional finite-difference method. The solutions are compared in terms of computational accuracy and time.