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

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 conduction/diffusion equation in one and two spatial dimensions. We use Green's 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.

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Document Details

Document Type
Technical Report
Publication Date
Mar 15, 1991
Accession Number
ADA238458

Entities

People

  • Donald C. Vosika

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Element Methods
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Graphics
  • Computers
  • Differential Equations
  • Energy Transfer
  • Equations
  • Geometry
  • Heat Energy
  • Integral Equations
  • Partial Differential Equations
  • Shell Scripts
  • Thermodynamics
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)