Comments on “Numerical Advection Experiments”

Chaotic advection at large Péclet number: Electromagnetically driven experiments, numerical simulations, and theoretical predictions

Two-dimensional atmospheric transport and chemistry model: numerical experiments with a new advection algorithm.

Extensive testing of the advective scheme, proposed by Prather (1986), has been carried out in support of the California Institute of Technology-Jet Propulsion Laboratory two-dimensional model of the middle atmosphere. We generalize the original scheme to include higher-order moments. In addition, we show how well the scheme works in the presence of chemistry as well as eddy diffusion. Six t...

Numerical experiments for advection-diffusion problems in a channel with a 180° bend

In this paper we solve numerically two singularly perturbed linear convection±diffusion problems for heat transfer in a ̄uid with an assumed ̄ow ®eld in the neighbourhood of a 180° bend in a channel. In the ®rst problem the theoretical solution has a parabolic boundary layer and in the second problem there is both a parabolic and a regular boundary layer in the solution. The numerical method us...

Variable resolution on quasi-uniform grids: linear advection experiments

A couple of different techniques for implementing the variable resolution within numerical models of the atmosphere that use quasi-uniform grids are estimated and compared based on their merit in the simple linear advection experiments. These techniques are: grid stretching, Schmidt transforming and grid overlapping. The quasi-uniform grids are: a conformal cubic and an octagonal grid. The tech...

Numerical Experiments on String Cosmology

We investigate some classical aspects of fundamental strings via numerical experiments. In particular, we study the thermodynamics of a string network within a toroidal universe, as a function of string energy density and space dimensionality. We find that when the energy density of the system is low, the dominant part of the string is in the form of closed loops of the shortest allowed size, w...