Abstract
In this paper, a dual-scaled method is introduced to simulate the nonlinear property of porous honeycomb material. In microscopic scale, stochastic analysis upon a detailed representation of the hexagonal cells is applied. In macroscopic scale, coupled fluid-solid PDEs with a modified stochastic item are used to describe the rheology of non-Newtonian property of honeycomb. Semi-discrete finite element method (FEM) is applied to solve the PDEs. Comparison of stochastic dynamic system with definite dynamic system is introduced. Numerical Results of Euler explicit time scheme and Crank-Nicolson semi-implicit time scheme are presented.
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