Abstract
In this work, a simple, stable, non-iterative, uncoupled formulation is proposed for nonlinear pore-dynamic analyses. Here, each phase of the coupled problem is treated separately, uncoupling the governing equations of the porous model. Thus, simpler, smaller and better conditioned systems of equations are obtained, providing a more efficient numerical approach. In addition, in the proposed technique, solution is carried out without considering any iterative computation, even when nonlinear models are regarded, further improving the effectiveness of the method. Incompressible and impermeable media may also be directly analysed by the new formulation, without requiring any special discretization procedure, as it is the case in standard analyses. At the end of the paper, numerical examples are presented, illustrating the effectiveness and potentialities of the new technique.
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