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...

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...

High latitude ionospheric convection patterns and models are obtained based on a composite analysis of incoherent scatter radar (ISR) observations in the North America sector at Millstone Hill and Sondrestrom (MHS). These observations span a combined latitude range of 55 pLp82 over time periods starting from 1978 for Millstone Hill and from 1995 for Sondrestrom. These models, regional to the Am...

The objectives are: (1) to study the convection and vorticity generations in the vortex environment that may lead to the development and intensification of tropical cyclone; (2) to study the development and evolution of deep moist mesoscale convective system subject to strain effect due to the horizontal shear associated with the vortex rotation, and the possible offsetting with the convection ...

This paper is concerned with theoretical analysis of a heat and moisture transfer model arising from textile industries, which is described by a degenerate and strongly coupled parabolic system. We prove the global (in time) existence of weak solution by constructing an approximate solution with some standard smoothing. The proof is based on the physcial nature of gas convection, in which the h...

[1] The coupling of statistical cloud schemes with mass-flux convection schemes is addressed. Source terms representing the impact of convection are derived within the framework of prognostic equations for the width and asymmetry of the probability distribution function of total water mixing ratio. The accuracy of these source terms is quantified by examining output from a cloud-resolving model...

The impact of very deep convection on the water budget and thermal structure of the tropical tropopause layer is still not well quantified, not least because of limitations imposed by the available observation techniques. Here, we present detailed analysis of the climatology of the cloud top brightness temperatures as indicators of deep convection during the Indian summer monsoon, and the varia...