Coupled Flow Deformation Analysis Using Meshfree Method

A fully coupled meshfree algorithm is proposed for numerical analysis of Blot's formulation. Spatial discretisation of the governing equations is accomplished using radial point interpolation method. Temporal discretization is achieved based on a novel three-point approximation technique with variable time step, which has second order accuracy and avoids oscillatory response observed in the conventional methods of time discretization. Application of the model is demonstrated using two numerical examples with analytical solution. It is shown that the model proposed is efficient in simulating the coupled flow deformation behavior in fluid saturated porous media with good accuracy and stability irrespective of the magnitude of the time step adopted.