A Laplace Transform Boundary Element Method Approach to the Solution of Large-Scale Transient Heat Conduction Problems

Abstract

Heat conduction has been a topic in engineering design for countless years. Many engineering devices, such as turbine engines, operate for long hours at steady conditions, and as such require steady-state conduction analysis. There are however becoming a growing number of devices that have short operational lives in areas such as missile and rocket propulsion systems. Although this research will focus specifically on heat conduction, its ideas can be applied to areas such as stress and acoustics, where transient calculations are also of great importance.

It is the objective of this thesis to develop and implement an efficient algorithm to solve large-scale, time dependent heat conduction problems using a Laplace transform boundary element method. In order to accomplish this task, an iterative, parallel, domain decomposition scheme is used to significantly reduce the computational and storage requirements typically encountered in large-scale problems. The decomposed subdomains are distributed through the nodes of a statically balanced computer cluster, where each transient heat conduction problem is solved independently for the specified time value. The independent solutions are merged at the artificially created interfaces using an iteration method which averages temperatures, resolves the problem, and averages flux magnitudes to ensure continuity at each iteration level. Accurate results are reported for several cases in regular and irregular geometries, with varying boundary conditions.

Notes

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Thesis Completion

2004

Semester

Spring

Advisor

Kassab, Alain

Degree

Bachelor of Science (B.S.)

College

College of Engineering and Computer Science

Degree Program

Mechanical Engineering

Subjects

Dissertations, Academic -- Engineering; Engineering -- Dissertations, Academic; Boundary element methods; Heat -- Conduction; Laplace transformation

Format

Print

Identifier

DP0022700

Language

English

Access Status

Open Access

Length of Campus-only Access

None

Document Type

Honors in the Major Thesis

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