Numerical Solution of Free Boundary Problem for Unsteady Slag Flow in the Hearth.

Abstract

A numerical method for solving a problem in unsteady slag flow in the hearth of a blast furnace is presented. This problem is reduced to a free boundary problem for an elliptic system. The potential problem for a given free boundary is approximated by the penalty method. The derivatives of the potential function on the free boundary is approximated by the integration of the penalty term, and then the subsequent shape of the free boundary is obtained by solving the differential equation for the motion of the free boundary. The finite difference method is used to solve the penalized problem. A numerical example is given.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1983
Accession Number
ADA132808

Entities

People

  • Hideo Kawarada
  • Makoto Natori

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Computations
  • Contracts
  • Electronics
  • Engineering
  • Equations
  • Finite Element Analysis
  • Flow
  • Geometry
  • Information Science
  • Mathematics
  • Numerical Analysis
  • Stability Conditions
  • Theorems
  • United States
  • Universities

Fields of Study

  • Mathematics

Readers

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