Methods of Differencing in Eulerian Hydrodynamics

Abstract

Methods of differencing the Eulerian form of the hydrodynamic equations are investigated. One wishes to find a method for machine calculations that could be used in hydrodynamic problems involving large distortions of matter in two space dimensions. Boundaries between materials are to be carried and moved through the fixed Eulerian mesh. Given a mesh at some time and with proper boundary conditions, the problem will be to carry the values of the quantities stored in each mesh point forward in time explicitly to a small time delta-t later. The problem will first be discussed in one space dimension and then for the case of two dimensions. This numerical method is for compressible flow in the presence of shocks. The IBM Electronic Data Processing Machine, Type 7O4, was used for the numerical computations.

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Document Details

Document Type
Technical Report
Publication Date
Apr 11, 1960
Accession Number
ADA385041

Entities

People

  • Jerry Longley

Organizations

  • Los Alamos National Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Boundaries
  • Contractors
  • Coordinate Systems
  • Data Processing
  • Diffusion
  • Discontinuities
  • Energy
  • Equations
  • Flow
  • Mach Number
  • Mass Flow
  • New Mexico
  • Numbers
  • Steady State
  • Two Dimensional
  • United States

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Microelectronics
  • Space