Pressure-displacement coupling in poroelasticity. further details of a stable finite volume formulation
| Autor: | Maliska, Clovis R., Honório, Herminio T. |
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| Rok vydání: | 2019 |
| Předmět: |
Finite element method
Elements finits Mètode dels Coupled problems (Complex systems) -- Numerical solutions Physics::Classical Physics Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits [Àrees temàtiques de la UPC] Physics::Geophysics Poroelasticity finite volumes coupling staggered grids stability conservative |
| Zdroj: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| Popis: | This paper further explores fundamental issues on the behaviour of a finite volume technique using staggered grids for solving poroelasticity problems. Attention is given to the well-known drawback of pressure instabilities, which arises in certain conditions, as in low permeability media, fast transients and undrained conditions. Finite volume techniques are not the first choice for solving poroelasticity problems, and the reason is cultural, since finite elements have a successful history in solving solid mechanics problems. It has been demonstrated, however, that the finite volume strategies can be successfully applied to poroelasticity problems, with the advantage of offering a single method, stable, and fully conservative for both, fluid mass and forces balance. |
| Databáze: | OpenAIRE |
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