Locally One Dimensional Numerical Methods for Multi-Dimensional Free Surface Problems.

Abstract

Research on the numerical solution of free boundary problems for partial differential equations with locally or sequentially one-dimensional methods has been supported by the U.S. Army Research Office through two consecutive 3-year research contracts. The time and resources provided have made it possible to develop a reasonably comprehensive mathematical theory and flexible numerical algorithms on which to base current computational methods and future research. During the first 3-year period, the method of fractional steps and the method of lines were applied to elliptic and parabolic free boundary problems. During the past three years work was directed toward demonstrating the flexibility of the method of lines for increasingly complex problems, on examining the behavior of certain ill-posed elliptic free boundary problems, and on establishing a mathematical theory for sequentially one-dimensional algorithms. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1983
Accession Number
ADA125902

Entities

People

  • Gunter H. Meyer

Organizations

  • Georgia Tech

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Computational Fluid Dynamics
  • Computational Science
  • Contracts
  • Differential Equations
  • Equations
  • Heat Energy
  • Heat Transfer
  • Mass Transfer
  • Military Research
  • Numerical Analysis
  • Partial Differential Equations
  • Scientists
  • Students
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Fluid Dynamics.
  • Systems Analysis and Design