Sentence examples for both artificial diffusion and from inspiring English sources

The proposed method is compared with other numerical schemes through a series of one-dimensional and two-dimensional test cases, and is shown to provide a significant reduction in both artificial diffusion and statistical scatter effects relative to existing DSMC-based equilibrium particle methods.

These methods are suitable for convection-dominated problems (such as turbulent flows), because they do not introduce artificial diffusion and are stable for any time step.

Braginskii-type plasma fluid equations and a one-energy group neutral particle diffusion equation are spatially discretized on a two-dimensional domain using Galerkin, modified artificial diffusion, and anisotropic streamline-upwind/Petrov-Galerkin finite element methods.

Method B is a 3D extension of the method of optimal artificial diffusion and gives reasonably accurate results.

High resolution schemes for capturing shock waves and contact discontinuities; upwinding and artificial diffusion; LED and TVD concepts; alternative flow splittings; numerical shock structure.

Using a linear first-order advection equation as a model problem, we construct element-level bilinear forms associated with first-order artificial diffusion operators and their two-scale counterparts.

For a multidimensional time fractional drift superdiffusion equation, we only considered the simplest case, which includes an artificial diffusion term and assume that the smooth divergence-free vector field (i.e., the drift velocity) (mathbf{u} in L^{2}(Omega)) only depends on the spatial variable x.

In this case we consider both Rusanov and Roe artificial diffusion operators.

Several advantageous features of the method are discussed, including the ease for which discontinuities can be detected and artificial diffusion can be applied anisotropically and locally in physical as well as frequency space.

This latter method was originally proposed as an 'exponential fitting' difference scheme by Allen and Southwell in [29] and subsequently referred to as an artificial diffusion stabilized scheme with 'optimal viscosity' by Brooks and Hughes in [18].

Both the stability of compressive limiters and the amount of artificial diffusion generated by the schemes are found to be grid-orientation dependent, with the fluctuation splitting scheme producing less artificial diffusion than the finite volume scheme.