We develop a fast finite volume method for variable-coefficient, conservative space-fractional diffusion equations in convex domains via a volume-penalization approach.
Peat effectively attenuated the conservative solute through matrix diffusion, and heterogeneity in peat properties influenced the effectiveness of this retardation.
A 10x decrease (conservative estimate) in local diffusion coefficient due to increased fibril density should have a near negligible, ∼16 s, effect on the overall enzyme gradient and degradation rate compared to the experiment timescale (2 4 hours).
Their work stimulated the development of alternative therapies including various forms of radiotherapy and tumour resection, resulting in successive wide diffusion of "conservative" treatments [ 2].
The initial porosity and diffusivity of the sand was determined by through-diffusion of a conservative tracer (tritiated water, HTO) in 10 replicates (diffusion cells named Trac1 to Trac10).
The diffusion of the conservative tracer (HTO) in experimental cells Prec2 and Prec3 indicated the onset of porosity reduction (i.e., change in flux curve slope, Fig. 2), and the significantly decreased flux indicated a change in the material's transport properties.
Moreover, our obtained passivity conditions depend on time delays and reaction-diffusion terms, and thus are less conservative than delay-independent and reaction-diffusion-independent criteria.
We develop a dislocation climb model based on a phase field description that couples non-conservative dislocation motion and vacancy diffusion.
Four in situ diffusion experiments, using a conservative iodide tracer, were performed in highly stressed SFR at a depth of 450 m in the Underground Research Laboratory URLL).
The result is a conservative and bounded scheme with low numerical diffusion.
