Accession Number:

ADA238458

Title:

The Boundary Element Method Applied to the Two Dimensional Stefan Moving Boundary Problem

Descriptive Note:

Master's thesis

Corporate Author:

AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING

Personal Author(s):

• Vosika, Donald C.

Report Date:

1991-03-15

Pagination or Media Count:

68.0

Abstract:

This thesis considers problems for which the boundary is not known before the problem is solved and must be determined as part of the solution. We consider a time dependent problem which results in a moving boundary. We look at the heat conductiondiffusion equation in one and two spatial dimensions. We use Greens Theorem to yield a Volterra boundary integral equation which involves an unknown function on the moving boundary. We use the boundary element method to obtain a solution. Graphical results for the two dimensional problem are presented.

Descriptors:

• *CONDUCTION(HEAT TRANSFER)
• *THERMAL DIFFUSION
• TWO DIMENSIONAL
• MOTION
• BOUNDARIES
• BOUNDARY VALUE PROBLEMS
• THERMAL CONDUCTIVITY
• YIELD
• GRAPHICS
• EQUATIONS
• GREENS FUNCTIONS
• INTEGRAL EQUATIONS
• VOLTERRA EQUATIONS
• SPATIAL DISTRIBUTION
• TIME DEPENDENCE

Subject Categories:

• Thermodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE