Comparison Between a Von Neumann-Richtmyer Hydrocode (AFWL's PUFF) and a Lax-Wendroff Hydrocode

Abstract

A comparison between two one-dimensional Lagrangian hydrocodes has been made. The two hydrocodes are a von Neumann-Richtmyer hydrocode (AFWL's PUFF) and a Lax-Wendroff hydrocode (the two-step version with artificial viscosity). The comparison was made by applying the hydrocode test problems as described in HYDROCODE TEST PROBLEMS, AFWL-TR-67-127, February 1968. The most apparent difference between the von Neumann-Richtmyer hydrocode and the Lax- Wendroff is the greater tendency of the Lax-Wendroff scheme to oscillate. In those flows in which there are no strong shocks or strong rarefactions or vacuums, the Lax-Wendroff scheme is more accurate. However, in those flows in which there are strong shocks or strong rarefactions or vacuums the von Neumann- Richtmyer scheme is more accurate. The Lax-Wendroff scheme cannot handle vacuums because of the use of specific volume instead of the density as a fluid variable. It appears that it might be possible to combine the better features of the von Neumann-Richtmyer and the Lax-Wendroff schemes to produce a better hydrocode.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1968
Accession Number
AD0842402

Entities

People

  • Darrell Hicks
  • Robert Pelzl

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Boundaries
  • Cauchy Problem
  • Collisions
  • Compression Waves
  • Computational Science
  • Equations
  • Escape Velocity
  • Government (Foreign)
  • Government Procurement
  • Governments
  • Plastic Explosives
  • Rarefaction
  • Shock Waves
  • Specific Volume
  • Viscosity

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)