A NUMERICAL TECHNIQUE FOR SOLUTION OF MULTIDIMENSION HYDRODYNAMIC PROBLEMS

Abstract

This Memorandum discusses in detail a numerical method for solving the compressible, hydrodynamic equations under the limitations of (1) two space dimensions, (2) the inviscid approximation, and (3) the adiabatic approximation. The method allows for the occurrence of shocks, contact discontinuities, and interfaces. Under a proper prescription of initial and boundary conditions, the method generates solutions including the above physical phenomena. The basis of the method is the extension to two space dimensions of the particle-in-cell (PIC) concept first proposed by Harlow for a one-dimensional computational scheme. The computational method approximates a set of partial differential equations containing terms in addition to those of the compressible, hydrodynamic equations under the approximations cited. The computational scheme contains a feature known as grid-changing, which permits optimum resolution of all phases of the problem using the limited memory capacity of present day electronic computers. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1963
Accession Number
AD0425951

Entities

People

  • Nathan J. Brooks
  • R. Bjork
  • R. Papetti

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Analogs
  • Boundaries
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Difference Equations
  • Differential Equations
  • Equations
  • Fluid Mechanics
  • Kinetic Energy
  • Materials
  • Partial Differential Equations
  • Surface Burst
  • Time Intervals
  • United States

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Microelectronics
  • Space