๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Finite element analysis of solidification using object-oriented and parallel techniques

โœ Scribed by I. Masters; A. S. Usmani; J. T. Cross; R. W. Lewis

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
577 KB
Volume
40
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

โœฆ Synopsis

This paper describes an implementation in C++ and in parallel of an explicit รฟnite element formulation for the solution of transient heat conduction problems with phase change. The scheme requires a very small timestep because of its conditional stability, but, as no matrix inversion is required, the cost per timestep is an order of magnitude lower than for a conventional scheme.

The principles of using object-oriented techniques for general รฟnite element programming are brie y explained, while the advantages for parallel processing are described in detail, including the classes used to perform message passing.

An example is given showing the performance of the scheme on two completely di erent parallel machines: a shared memory Silicon Graphics Power Challenge, and a distributed memory Cray T3D. The results indicate that the program scales e ciently for large meshes. ?

๐Ÿ“œ SIMILAR VOLUMES

Inverse finite element techniques for th
Inverse finite element techniques for the analysis of solidification processes
โœ Nicholas Zabaras ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 882 KB

This paper provides a finite element methodology (FEM) for the solution of several one-dimensional inverse solidification problems. In particular two design related problems will be addressed. The first one uses an inverse technique to calculate the boundary heat flux history that will achieve a spe

Object oriented programming of the finit
Object oriented programming of the finite element method
โœ R. I. Mackie ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 674 KB

## Abstract The finite element method is by its nature very modular. Object oriented programming enables full advantage to be taken of this modularity. This makes for safer and easier programming, and extending or modifying object oriented programs is very straightforward. The paper describes an ob

Object oriented matrix classes for use i
Object oriented matrix classes for use in a finite element code using C++
โœ Gordon W. Zeglinski; Ray P. S. Han; Peter Aitchison ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 828 KB

This paper presents a new method of writing finite element programs using the programming approach known as object oriented programming (OOP). More specifically, the C + + language is used to illustrate the key OOP concepts. In addition to the OOP finite element examples, a detailed discussion of OO

Finite element analysis of directional s
Finite element analysis of directional solidification of multicomponent alloys
โœ S. D. Felicelli; J. C. Heinrich; D. R. Poirier ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 677 KB

A ยฎnite element model of dendritic solidiยฎcation of multicomponent alloys is presented that includes solutal convection and is an extension of a previously developed model for solidiยฎcation of binary alloys. The model is applied to simulation of the solidiยฎcation of ternary and quaternary Ni-based a

Groundwater analysis using a Geographic
Groundwater analysis using a Geographic Information System following finite-difference and -element techniques
โœ Paul E. Albertson; Gary W. Hennington ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 468 KB

Groundwater analysis involves understanding both spatial and temporal changes. Changes in many different types of media have been modeled in the past with finite-difference and finite-element meshes. In the same way, groundwater can be represented as a finite-element analysis problem. This document