This paper presents a numerical analysis of natural convection dominated melting inside a rectangular enclosure from three discrete heat sources. This analysis is motivated by the need to improve the design of a latent heat thermal energy storage system. It also finds applications in the cooling of electronic equipment. A computational methodology based on the enthalpy method for phase change i...

Using the notions of Q heaps and fusion trees developed by Fredman and Willard we develop a faster version of the fractional cascading technique while maintaining the linear space structure The new version enables sublogarithmic iterative search in the case when we have a search tree and the degree of each node is bounded by O log n for some constant where n is the total size of all the lists s...

Sensitivity to environmental shape in spatial navigation has been found, at both behavioural and neural levels, in virtually every species tested, starting early in development. Moreover, evidence that genetic deletions can cause selective deficits in such navigation behaviours suggests a genetic basis to navigation by environmental geometry. Nevertheless, the geometric computations underlying ...

This paper describes a new approach for visualising the file structures. Our technique uses an enclosure + connection (ENCCON) approach that provides an overall view of the entire file/directory hierarchy that gives a better understanding of the folder-folder and folder-file relationships, and therefore makes easier for the navigation. We firstly use the rectangular regions to present the folde...

Using the notions of Q-heaps and fusion trees developed by Fredman and Willard, we develop a faster version of the fractional cascading technique while maintaining the linear space structure. The new version enables sublogarithmic iterative search in the case when we have a search tree and the degree of each node is bounded by O(log n), for some constant > 0, where n is the total size of all th...

Numerical analysis is presented for transient buoyancy-induced natural convection from discrete heating inside a two-dimensional rectangular enclosure filled with porous medium. The study has been made for Rayleigh numbers of 100, 1000 and 10000 with an aspect ratio of 2. The left vertical wall is heated discretely to a constant high temperature and the right wall is cooled to a constant low te...

Using the notions of Q-heaps and fusion trees developed by Fredman and Willard, we develop general transformation techniques to reduce a number of computational geometry problems to their special versions in partially ranked spaces. In particular, we develop a fast fractional cascading technique, which uses linear space and enables sublogarithmic iterative search on catalog trees in the case wh...

The phenomena of magneto-hydrodynamic natural convection in a two-dimensional semicircular top enclosure with triangular obstacle the rectangular cavity were studied numerically. governing differential equations are solved by using most important method which is finite element (weighted-residual method). wall placed at cold Tc and bottom heated Th. Here sidewalls assumed adiabatic. Also all occ...