Dynamic analysis of porous materials: Numerical simulation with an adaptive space-time FEM |
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| Authors: | Z. Chen S. Diebels H. Steeb |
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| Affiliation: | Chair of Applied Mechanics, Saarland University, Campus A4 2, 66123 Saarbrücken, Germany |
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| Abstract: | We investigated a space-time Galerkin method applied to the dynamic analysis of fully-saturated porous material. The governing set of equations are derived from the well-studied Theory of Porous Media (TPM). The numerical scheme consists of a coupled finite element discretization in the space-time domain. Discontinuous approximations of the primary variables in time are employed. A natural flux treatment is applied in time to impose the consistency between the adjacent time intervals. A simple space-time decoupled adaptive strategy based on the “jumps” in time and the ZZ error indicator in space is investigated. Numerical experiments demonstrate the efficiency and reliability of the proposed approach. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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