For a numerical purpose, the authors used an explicit finite difference scheme which is unstable and the condition of stability depends on the parameter p. In this paper, we develop a numerical semi-implicit method approaching the Perona-Malik inequality by using a splitting method [23].
The one-dimensional consolidation properties of early age cemented paste backfill (CPB) are useful for the estimation of design parameters for underground stope filling purpose as well as for numerical modelling purposes.
In such cases the asymptotic energy norm behavior (which is useful not only because it represents the structure stiffness, but also for numerical comparison purposes) is not a priori known.
The method is designed for the nonlinear space and/or time series analysis of data or the establishment of the Riemann spectrum for some Cauchy initial value problem for hyperfast numerical modeling purposes.
Therefore, a mesh of around 2 × 105 (20 × 20 × 500) elements was considered sufficient for the numerical investigation purposes; a fine structured mesh near the wall to resolve the boundary layer and an increasingly coarser mesh in the middle of the channel to reduce the computational cost.
