Simulation results reveal that the LGR is able to obtain more accurate polymer injectivity compared to using the coarse grid and the analytical injectivity model.
The energy strengths appearing in eq 13 of ref (19) are set by mapping (with the so-called "max" scheme) the coarse-grained potential to the analytical Debye Hückel potential developed for IPCs in water at room temperature.
In this case, it is obviously not proper to use the coarse grid as well as the analytical injectivity model, which could not describe the flow in fractures.
Once the mapping with the analytical description is performed, the coarse-grained particle wall interaction is fully consistent with the particle particle coarse-grained description.
This analytical framework provides a more coarse-grained roadmap for bioinspired synthesis than a purely biomimetic approach, affording chemists sufficient flexibility to engage the full arsenal of chemical synthesis tools.
The conformational properties of the synthesized dendritic polymers were studied by means of analytical theory and Monte Carlo simulations using coarse graining models with the same number of segments.
Depending on the analytical needs, more fine-grained or coarse-grained classifications are certainly possible.
This paper presents experimental, numerical and analytical investigations about the effects of incorporating coarse recycled concrete aggregates (CRCA) on the punching behaviour of reinforced concrete (RC) slabs.
Computational artifacts can still occur when time steps in particle-path tracking are too coarse, but if the numerical code is cautiously implemented, the analytical solution does not suffer from numerical dispersion.
Simple analytical equations have been proposed for radiative characteristics of coarse-mode aerosols, water clouds, and foams in terms of the parameters of microstructure such as size distribution, shape, internal structure, and chemical composition of scatterers.
The first analytical method projects the outflow from a specific catheter position inside the coarse finite volume cell onto its vertices.
