Accession Number:

ADA470449

Title:

A High Order ENO Conservative Lagrangian Scheme for the Compressible Euler Equations

Descriptive Note:

Research rept.

Corporate Author:

ARMY RESEARCH OFFICE RESEARCH TRIANGLE PARK NC

Personal Author(s):

Report Date:

2007-01-01

Pagination or Media Count:

50.0

Abstract:

We develop a class of Lagrangian schemes for solving the Euler equations of compressible gas dynamics both in the Cartesian and in the cylindrical coordinates. The schemes are based on high order essentially non-oscillatory ENO reconstruction. They are conservative for the density, momentum and total energy, can maintain formal high order accuracy both in space and time and can achieve at least uniformly second order accuracy with moving and distorted Lagrangian meshes, are essentially non-oscillatory, and have no parameters to be tuned for individual test cases. One and two dimensional numerical examples in the Cartesian and cylindrical coordinates are presented to demonstrate the performance of the schemes in terms of accuracy, resolution for discontinuities, and non-oscillatory properties.

Subject Categories:

  • Numerical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE