High performance computing of explicit schemes for electrofusion jointing process based on message-passing paradigm

The research focused on heterogeneous cluster workstations comprising of a number of CPUs in single and shared architecture platform. The problem statements under consideration involved one dimensional parabolic equations. The thermal process of electrofusion jointing was also discussed. Numerical schemes of explicit type such as AGE, Brian, and Charlies Methods were employed. The parallelization of these methods were based on the domain decomposition technique. Some parallel performance measurement for these methods were also addressed. Temperature profile of the one dimensional radial model of the electrofusion process were also given

Stability of Charlie's method on linear heat conduction equation.

Explicit schemes are attractive for obtaining finite difference solutions to partial differential equations because of their simplicity. However this feature is undermined by the severe restriction on stability that the schemes suffer. One method that appears to have better stability properties is Charlie's method. The stability region of this method applied to a one-dimensional heat conduction equation is discussed in this article

Application of Charlie's method to the one-phase stefan problem

Charlie’s method [2-4], an explicit predictor-corrector ?nite di?erence-based scheme, is applied to the one-phase moving boundary problem with a Neumann-type boundary condition known as the Stefan problem. A front-tracking method is used to simulate the location of the moving boundary. A simple example of the one-dimensional melting of ice [5] is taken into consideration. In general, the nonlinearity associated with the moving boundary signi?cantly complicates the analysis of this class of problems. A suitable range of the ?lter parameter ? in Charlie’s scheme is established, so that the numerical algorithm is stable and the time execution for the simulation is e?cient than the standard explicit scheme. The result of this study will give an insight to the future application of Charlie’s method in the simulation of the electrofusion joining process which involves a change of phas

A one-dimensional simulation of an electrofusion welding process

A one-dimensional simulation of an electrofusion welding process based on finite difference method using control volume discretization is presented. Usually simulations of this nature are implemented with finite elements using a package, such as ABAQUS, with time consuming iterative computer code. This simulation is able to predict temperature and stress histories as well as giving the gap closure time of the welding process. The results of this simple simulation compared favourably with both experimental and ABAQUS values