These equations are, scaling space with , can have a significant effect on the physical behaviour of the interface, and should be selected with care.
The double-well function represents an approximation of the Van der Waals EOS near the critical point, and has historically been used for its simplicity of implementation when the phase field model is employed solely for interface tracking purposes.
The proposed implementation has a computational complexity only slightly greater than that of the double-well function, and may prove useful for interface tracking applications of the phase field model where the duration/nature of the simulated phenomena introduces phase continuity concerns (i.e.
As usual the 550D remains in Canon's range at a lower price point, with the EOS 1100D slotting in beneath it to round off the company's offerings to entry-level SLR users. The method substitutes boundary conditions at the interface by a partial differential equation for the evolution of an auxiliary field (the phase field) that takes the role of an order parameter.This phase field takes two distinct values (for instance 1 and −1) in each of the phases, with a smooth change between both values in the zone around the interface, which is then diffuse with a finite width.This model is mostly used for solid state phase transformations where multiple grains evolve (e.g.grain growth, recrystallization or first order transformation like austenite to ferrite in ferrous alloys).
From a computational point of view integration of partial differential equations resolving such a small scale is prohibitive.