ON THE PERFORMANCE OF ISOGEOMETRIC APPROXIMATIONS FOR THE DISCRETIZATION OF POROMECHANICAL MEDIA
Abstract:
Isogeometric Analysis (IGA) improves the compatibility between Computer-Aided-Design (CAD) and Finite Element Analysis (FEA) by using the same approximation functions for the geometry and the field variables. An additional advantage of IGA is the smoothness of the approximating functions, which in general entails higher rates of convergence in comparison with traditional FEA. In this contribution we study the suitability of IGA to discretize the soil consolidation problem, which is governed by the Biot model for poromechanical continua. Consolidation problems typically entail the appearance of sharp gradients of the involved variables, inadequate approximation of which can lead to incorrect transient behavior which consequently affects the reliability of the steady-state solution. Earlier studies have revealed that IGA can be more accurate than traditional FEA for this class of problems. However, the exploration …
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Áreas de conocimiento:
- Modelo matemático
- Ingeniería geotécnica
Áreas temáticas:
- Ingeniería y operaciones afines
- Ingeniería civil
- Ingeniería sanitaria