Full axisymmetric model

Figure 5b shows that the time to full resaturation of the buffer varies between 3 to 10 years. The different resaturation times among these models are in line with simulation results obtained for the well-defined axisymmetric problem (Chijimatsu et al., 2003) and for the case of a homogenous rock (Millard et al., 2003). This indicates that the variation of the resaturation time among these models are caused by slightly different input hydraulic properties of the buffer, such as relative permeability and water retention curves. 

With the limitations and the problems associated with both the perturbation analysis and the one-dimensional models, the full nonlinear equations of motion for the jet are solved numerically. One such solution is by Ashgriz and Mashayek [75]. They studied the temporal instability of an axisymmetric incompressible Newtonian liquid jet in vacuum and zero gravity. The variables are nondimensio-nalized by the radius of undisturbed jet, a, and a characteristic time (pa" jof. ... 

Model generation for this analysis is also a multistage process. Since the tire cross-section geometry (without tread) is symmetric about the centerline, one half of the cross section is meshed using 2D tools. The mesh is reflected to create a full cross-section mesh and is then swept about the tire axis of symmetry to produce an axisymmetric 360°, 3D mesh. 

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