Local grid refinement aims to optimise the relationship between accuracy of the results and number of grid nodes. In the context of the finite volume method no single local refinement criterion has been globally established as optimum for the selection of the control volumes to subdivide, since it is not easy to associate the discretisation error with an easily computable quantity in each contr...

The cylinder working fluid mean temperature, rate of heat fluxes to combustion chamber and temperature distribution on combustion chamber surface will be calculated in this research. By simulating thermodynamic cycle of engine, temperature distribution of combustion chamber will be calculated by the Crank-Nicolson method. An implicit finite difference method was used in this code. Special treat...

The design and performance of land grid array (LGA) sockets are discussed with respect to high-performance server applications. Motivations for the use of this technology are presented, and the specific challenges associated with its application are discussed from a mechanical perspective. A variety of mechanical performance considerations are identified for LGA socket technologies, and a detai...

We show how mixed finite element methods that satisfy the conditions of finite element exterior calculus can be used for the horizontal discretisation of dynamical cores for numerical weather prediction on pseudo-uniform grids. This family of mixed finite element methods can be thought of in the numerical weather prediction context as a generalisation of the popular polygonal C-grid finite diff...

We consider p = 1/2 site percolation on finite rectangles in the 2D square lattice. For n,m ∈ Z, let e(m,n) be the expected number of clusters connected monochromatic components over all two-colorings of [0,m)× [0, n)∩Z, where points are connected orthogonally. We determine the values e(m,n) explicitly for small values of m, and demonstrate connections between the expected number of clusters, e...

In this paper, we present our work on the integration of existing engineering applications using Grid Services. We address a visual grid framework that provides an integrated development environment for engineering computation applications. Furthermore, we demonstrate how such services can interact with each other. These interactions enable a level of integration that assists the scientific app...

We present a domain decomposition method for computing finite difference solutions to the Poisson equation with infinite domain boundary conditions. Our method is a finite difference analogue of Anderson’s Method of Local Corrections. The solution is computed in three steps. First, fine-grid solutions are computed in parallel using infinite domain boundary conditions on each subdomain. Second, ...

2. Development of New Spherical Grid: Yin-Yang Grid Since the finite difference method enables us to make highly optimized programs for massively parallel computers, we exploit the possibility of the finite difference method for simulations in spherical shell geometry with radius r (ri ≤ r ≤ ro), colatitude θ (0 ≤ θ ≤ π), and longitude φ (0 ≤ φ < 2π). Because there is no grid mesh that is ortho...