论文信息 - Finite Difference Scheme for Filtration and Consolidation Problems

Finite Difference Scheme for Filtration and Consolidation Problems

It's well known that numerical instabilities appear in the approximation of the Biot's consolidation problem, when standard finite elements or difference methods are applied. To stabilizate this problem, we propose the use of staggered grids for the discretization. A monotone and second order finite difference scheme on this kind of grid is given. We check this properties with some numerical results.

Francisco Javier Lisbona | Petr N. Vabishchevich | Francisco José Gaspar

[1] Vidar Thomée,et al. Asymptotic behavior of semidiscrete finite-element approximations of Biot's consolidation problem , 1996 .

[2] Abimael F. D. Loula,et al. On stability and convergence of finite element approximations of biot's consolidation problem , 1994 .

[3] F. Harlow,et al. Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface , 1965 .

[4] M. Biot. General Theory of Three‐Dimensional Consolidation , 1941 .

[5] Satya N. Atluri,et al. Computational heat transfer , 1986 .

[6] F. Gaspar,et al. A finite difference analysis of Biot's consolidation model , 2003 .

[7] Abimael F. D. Loula,et al. Improved accuracy in finite element analysis of Biot's consolidation problem , 1992 .

[8] A. A. Samarskii,et al. Computational heat transfer , 1995 .