Due to the very general nature of the Meshless Local Petrov-Galerkin (MLPG) method, it is very easy and natural to introduce the upwinding concept (even in multidimensional cases) in the MLPG method, in order to deal with convection-dominated flows. In this paper, several upwinding schemes are proposed, and applied to solve steady convectiondiffusion problems, in one and two dimensions. Even fo...

Employing the formalism introduced by Phys. Rev. Lett. 63, 1962 (1989)], we study the probability density functions (pdf's) of decaying passive scalars in periodic domains under the influence of smooth large scale velocity fields. The particular regime we focus on is one where the normalized scalar pdf's attain a self-similar profile in finite time, i.e., the so-called strange or statistical ei...

The second law analysis of heat transfer of a non-Newtonian, laminar falling liquid film along an inclined heated plate is investigated. The upper surface of the liquid film is considered free and adiabatic. Velocity and temperature profiles are obtained analytically and used to compute the entropy generation number (Ns), irreversibility ratio (Ф) and the Bejan number (Be) for several values of...

We present a tectonic, surface process model used to investigate the role of horizontal shortening in convergent orogens and the effects on steady-state topography. The tectonic model consists of a specified velocity field for the Earth’s surface and includes a constant uplift rate and a constant horizontal strain rate which varies to reflect the relative importance of frontal accretion and und...

By using high molecular weight fluorescent passive tracers with different diffusion coefficients and by changing the fluid velocity we study the dependence of a characteristic mixing length on the Peclet number, Pe, which controls the mixing efficiency. The mixing length is found to be related to Pe by a power law, L(mix) proportional, variant Pe0.26+/-0.01, and increases faster than expected f...

Recent simulations of diffusion limited cluster-cluster aggregation (DLCA) have shown systematic inhomogeneities in the shape and orientation of clusters formed when a sedimentary force is applied. Using custom simulation and visualisation techniques and programs we have carried out a microscopic study of these sedimentary inhomogeneities and have mapped out the model parameter space. We find v...

A mathematical model for the evaporation of a single droplet, subjected to convective drying in a spray dryer was developed to study the transient phenomena of particle formation. During the constant-rate drying period, the governing equations and boundary conditions were transformed into a form containing Peclet number, Pe, as the main controlling parameter. A numerical solution was developed ...

A systematic expansion of the many-body master equation for active matter, in which motors power configurational changes as in the cytoskeleton, is shown to yield a description of the steady state and responses in terms of an effective temperature. The effective temperature depends on the susceptibility of the motors and a Peclet number which measures their strength relative to thermal Brownian...

This study investigates the use of interface Peclet number P = w/(Dl/Vtip), to determine the interface width (w) used in phase-field simulations, where Dl is the liquid diffusivity and Vtip is the tip velocity. The maximum simulation interface width (wmax) under varied growth conditions was analysed via convergence analysis and it was found that there is a limit of P for the maximum interface w...