Linear grid

Linear contamination Linear grid, several diagonals (sometimes in zig zag manner, e.g. in the shape of capital letters N, W, or X)... 

The SS-LMBW equation (33) was discretized in the interval—409.6 < z < 409.6 A on a linear grid with a resolution of 0.05 A. To position the interface at z = 0, the parameter in Equation (31) setting the average density of the coexisting phases was chosen as rj — 0.5.TheSS-LMBWequation (33)with the boundary conditions(26)wereconverged by using the modified direct inversion in the iterative subspace (MDBS) method [54]. 

It is further assumed that this is to be apphed to a problem with a linear grid of time points (separated by At) and a linear grid of spatial points (separated by Ax ). The time points will be identified by the integer index n while the spatial points will be identified by the integer i so that each solution value in the two dimensional space of time and distance can be identified as U". Approximating flie spatial derivative by finite differences for a uniform spatial grid gives ... 

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