Algorithms to Solve Nonlinear Time Dependent Problems of Engineering and Physics

Abstract

A project was developed concerning fronts propagating with curvature dependent speed. New algorithms were derived approximating the equations of motion, which resemble Hamilton-Jacobi equations with parabolic right-hand sides, by using techniques from hyperbolic conservation laws. Essentially non- oscillatory schemes are used. These methods accurately capture the formation of sharp gradients and cusps in the moving fronts. The algorithms handle topological merging and breaking naturally, and work in any number of space dimensions. The methods can also be used for more general Hamilton-Jacobi type problems. Applications of the algorithms include crystal growth, solidification of metals and flame propagation.

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Document Details

Document Type
Technical Report
Publication Date
Nov 18, 1989
Accession Number
ADA216471

Entities

People

  • Stanley Osher

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Algorithms
  • Artificial Intelligence
  • Blast Waves
  • California
  • Classification
  • Computations
  • Crystal Growth
  • Equations
  • Equations Of Motion
  • Flame Propagation
  • High Resolution
  • Mathematics
  • Security
  • Shock
  • Universities

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Computational Fluid Dynamics (CFD)
  • Operations Research

Technology Areas

  • Space