A Numerical Model for the Radial Flow Through Porous and Deformable Shells

Verfasser / Beitragende:
Gaspar, Francisco J.; Lisbona, Francisco J.; Vabishchevich, Petr N.
Ort, Verlag, Jahr:
2004
Enthalten in:
Computational Methods in Applied Mathematics, 4/1(2004), 34-47
Format:
Artikel (online)
ID: 378884166
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024 7 0 |a 10.2478/cmam-2004-0003  |2 doi 
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245 0 2 |a A Numerical Model for the Radial Flow Through Porous and Deformable Shells  |h [Elektronische Daten] 
520 3 |a Energy estimates and convergence analysis of finite difference methods for Biot's consolidation model are presented for several types of radial ow. The model is written by a system of partial differential equations which depend on an integer parameter (n = 0; 1; 2) corresponding to the one-dimensional ow through a deformable slab and the radial ow through an elastic cylindrical or spherical shell respectively. The finite difference discretization is performed on staggered grids using separated points for the approximation of pressure and displacements. Numerical results are given to illustrate the obtained theoretical results. 
540 |a This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. 
690 7 |a Biot's model  |2 nationallicence 
690 7 |a finite difference method  |2 nationallicence 
690 7 |a staggered grids  |2 nationallicence 
700 1 |a Gaspar  |D Francisco J.  |u Departamento de Mathemática Aplicada, Universidad de Zaragoza, 50009 Zaragoza, Spain 
700 1 |a Lisbona  |D Francisco J.  |u Departamento de Mathemática Aplicada, Universidad de Zaragoza, 50009 Zaragoza, Spain 
700 1 |a Vabishchevich  |D Petr N.  |u Institute for Mathematical Modelling RAS. 
773 0 |t Computational Methods in Applied Mathematics  |d De Gruyter  |g 4/1(2004), 34-47  |x 1609-4840  |q 4:1<34  |1 2004  |2 4  |o cmam 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Gaspar  |D Francisco J.  |u Departamento de Mathemática Aplicada, Universidad de Zaragoza, 50009 Zaragoza, Spain 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Lisbona  |D Francisco J.  |u Departamento de Mathemática Aplicada, Universidad de Zaragoza, 50009 Zaragoza, Spain 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Vabishchevich  |D Petr N.  |u Institute for Mathematical Modelling RAS 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Computational Methods in Applied Mathematics  |d De Gruyter  |g 4/1(2004), 34-47  |x 1609-4840  |q 4:1<34  |1 2004  |2 4  |o cmam 
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