Sentence examples for diffusion solutions from inspiring English sources

Flux-limited diffusion solutions can also be improved by including artificial scattering.

The consistency of the transport and diffusion solutions at convergence is defined by using a projection operator mapping the transport into the diffusion FEM space.

We implemented MMCM in C and multi-threaded programming and developed a software package [ 28], including the core MMCM simulation code, validation suite, mesh processing scripts and a toolbox to compute analytical diffusion solutions for a heterogeneous sphere.

In the Results section, we validate the algorithm using a homogeneous domain with and without a spherical inclusion, and compare the results with analytical diffusion solutions as well as those from a voxel-based MC simulation; then we show an example of time-resolved simulation from a complex human brain atlas.

It turns out that the equivalent diffusion solution generally underestimates preheat.

When the cell size is much larger than the photon's mean free path, a diffusion solution for such a frequency radiation will be obtained.

So the diffusion solution of Equation 1 becomes: C ( x, t ) = C 0 π D t exp ( - x 2 4 D t ) (2).

Where nonlocal transport (instead of simple single flux limit) has been modeled, it has always been with what we denote the equivalent diffusion solution, namely treating the transport as only a diffusion process.

In Figure 6A, we overlay the single solution with Ds = 0.001 µm2/s among the envelope of steady-state solutions with Ds = 0; the diffusion solution is positioned toward the rear of the envelope.

Processes that determine the kinetic prefactor are solute diffusion in solution and solute desolvation in order to incorporate the solute in the forming nucleus.

The nonlinear Lyapunov stability of the conduction-diffusion solution of the rotating Bénard problem was studied in [9].