Pseudospectral methods are frequently used in the horizontal directions in large-eddy simulation of atmospheric flows. However, the same approach often creates unphysical oscillations for scalar fields if there are horizontal heterogeneities in the sources and/or sinks, as is usual in air pollution problems. A hybrid approach is developed to combine the use of pseudospectral representation of t...

In applications of differential geometry to problems of parametric inference, the notion of divergence is often used to measure the separation between two parametric densities. Among them, in this paper, we will verify measures such as Kullback-Leibler information, J-divergence, Hellinger distance, -Divergence, … and so on. Properties and results related to distance between probability d...

It has long been believed that the superior colliculus (SC) is involved in the production of saccades but plays no role in the generation of vergence eye movements. However, results from several recent studies suggest that it may be worthwhile to examine the role of the SC in saccade-vergence interactions. Specifically, the available literature suggests two questions: do saccade-related neurons...

We develop two isogeometric divergence-conforming collocation schemes for incompressible flow. The first is based on the standard, velocity–pressure formulation of Navier–Stokes equations, while second rotational form and includes vorticity as an unknown in addition to velocity pressure. describe process discretizing each using B-splines that conform a discrete de Rham complex collocating gover...

Abstract This paper presents analyses of drifters with drogues at different depths – 1, 10, 30, 50 m that were deployed in the Mediterranean Sea to investigate frontal subduction and upwelling. Drifter trajectories used estimate divergence, vorticity, vertical velocity, finite-size Lyapunov exponents (FTLEs), balance terms vorticity equation. The divergence are O( f ) change sign along trajecto...

We propose a mixed finite element method for Stokes flow with one degree of freedom per and facet simplicial grids. The is derived by considering the vorticity-velocity-pressure formulation eliminating vorticity locally through use quadrature rule. discrete solution pointwise divergence-free pressure robust. theoretically convergence rates are confirmed numerical experiments.

In this paper we study finite element method for three-dimensional incompressible resistive magnetohydrodynamic equations, in which the velocity, current density, and magnetic induction are divergence-free. It is desirable that discrete solutions should also satisfy divergence-free conditions exactly especially momentum equations. Inspired by constrained transport method, devise a new stable mi...