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We discuss a class of particle methods for diffusion problems with small diffusivity, in which diffusion is modeled by random walk update of the particle positions; each particle carries a point-value of the problem's initial data; and the numerical solution is obtained as a discrete convolution of the particle data with an approximate δ-function.
Multicellular organisms, in which diffusion distances are longer, generally resort to other strategies.
Fibers have been arranged in unidirectional bundles in which diffusion is also considered (local-scale modeling).
In particular, interesting regimes in combustion correspond to systems in which diffusion and reaction are much faster processes than advection.
The white broken line in d f indicates the location in which diffusion creep and dislocation creep have the same slip rate.
They employed the 'frozen flux' approximation in which diffusion of the magnetic field on large scales is assumed to be negligible on short timescales (Roberts and Scott, 1965).
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Such finding was accompanied by a further study in which diffusion-edited HRMAS NMR spectra of HF-treated soil aggregates of different dimensions were related to the role of microbes in conservation tillage systems [27].
It is based on a second-order fractional step scheme in which diffusion-convection terms are advanced without enforcing the incompressibility condition and the resulting intermediate velocity field is then projected onto the space of discretely divergence-free vector fields.
Fickian diffusion in which the diffusion rate is less than the relaxation rate (n = 0.50); Diffusion which is rapid compared the relaxation processes (n = 1); and.
Depending on the diffusion rate of the material relaxation, three different diffusion mechanisms are proposed [42, 43, 44, 45, 47]: 1. Fickian diffusion in which the diffusion rate is less than the relaxation rate (n = 0.50); 2.
This method, called equimolar countercurrent diffusion, is the usual manner in which gaseous diffusion measurements are now carried out.
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