This review summarizes results for Rayleigh-Bénard convection that have been obtained over the past decade or so. It concentrates on convection in compressed gases and gas mixtures with Prandtl numbers near one and smaller. In addition to the classical problem of a horizontal stationary fluid layer heated from below, it also briefly covers convection in such a layer with rotation about a vertic...

In this work, we apply the adaptive discontinuous Galerkin (DGAFEM) method to the convection dominated non-linear, quasi-stationary diffusion convection reaction equations. We propose an efficient preconditioner using a matrix reordering scheme to solve the sparse linear systems iteratively arising from the discretized non-linear equations. Numerical examples demonstrate effectiveness of the DG...

Recently many mathematical models for image processing have been widely applied in computer visualization. The nonlinear diffusion PDE has been broadly applied in image processing. In this paper we propose a convection-diffusion filter by adding a convection term in the modified diffusion equation as a physical interpretation for removing the noise. We study the dynamics of such equations by th...

Convection-diffusion problem are the base for continuum mechanics. The main features of these problems are associated with an indefinite operator the problem. In this work we construct unconditionally stable scheme for non-stationary convection-diffusion equations, which are based on use of new variables. Also, we consider these equations in the form of convection-diffusion-reaction and constru...

A single-column model run under the weak temperature gradient 8 approximation, a parameterization of large-scale dynamics appro9 priate for the tropical atmosphere, is shown to have multiple stable 10 equilibria. Under conditions permitting persistent deep convection, 11 the model has a statistically steady state in which such convection 12 occurs, as well as an extremely dry state in which con...

this research set out to evaluate the effect of combined biological and chemical nitrogen fertilizers on some corn hybrids. to this end an experiment was conducted as split plot on the basis of randomized complete block design with four replications. main plots were included: use of chemical and biological fertilizers in four levels: 100% chemical fertilizer, 75% chemical fertilizer + 100% bio-...

in order to study the effect of chemical and biological fertilizers on silage corn under different plant densities, a split plot experiment was carried out in a randomized completely block design with three replicates in south western iran. the main plot included nitrogen fertilizer treatment at three levels (n1: with out chemical and organic fertilizers, n2: 75% chemical fertilizer + 100% orga...

As a teenager in a South Dakota hamlet (Pierpont, population 326 in the 1940 census) I had no idea that I would become a scientist. The only formal science course my tiny high school (40 students in four grades, taught by three teachers) offered was physics, taught by the sports coach (a history major) and featuring the ‘‘dissection’’ of a 1928 Overland (teacher: ‘‘I have been told that the mod...

A number of Grand Challenge applications are capable of generating such large quantities of data that data output may affect the applications performance. An example of such an application is modeling of turbulent convection. One means of dealing with this situation is data compression. This thesis examines applying wavelet based lossy compression techniques to turbulent convection data. It als...

[1] As high-performance computing facilities and sophisticated modeling software become available, modeling mantle convection in a three-dimensional (3-D) spherical shell geometry with realistic physical parameters and processes becomes increasingly feasible. However, there is still a lack of comprehensive benchmark studies for 3-D spherical mantle convection. Here we present benchmark and test...