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Poroelastodynamic Boundary Element Method in Time Domain: Numerical Aspects
Author(s) -
Schanz Martin,
Kielhorn Lars
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510198
Subject(s) - biot number , poromechanics , boundary element method , laplace transform , quadrature (astronomy) , mathematical analysis , mathematics , numerical analysis , finite element method , boundary value problem , dimensionless quantity , time domain , mechanics , computer science , porosity , porous medium , physics , geology , geotechnical engineering , thermodynamics , optics , computer vision
Based on Biot's theory the governing equations for a poroelastic continuum are given as a coupled set of partial differential equations (PDEs) for the unknowns solid displacements and pore pressure. Using the Convolution Quadrature Method (CQM) proposed by Lubich a boundary time stepping procedure is established based only on the fundamental solutions in Laplace domain. To improve the numerical behavior of the CQM‐based Boundary Element Method (BEM) dimensionless variables are introduced and different choices studied. This will be performed as a numerical study at the example of a poroelastic column. Summarizing the results, the normalization to time and spatial variable as well as on Young's modulus yields the best numerical behavior. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)