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

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.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2007
Accession Number
ADA470449

Entities

People

  • Chi-Wang Shu
  • Juan Cheng

Organizations

  • Army Research Office

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Applied Mathematics
  • Blast Waves
  • Cartesian Coordinates
  • Cauchy Problem
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Coordinate Systems
  • Equations
  • Euler Equations
  • Fluid Dynamics
  • Fluid Flow
  • Mathematics
  • Momentum
  • Specific Heat
  • Two Dimensional

Fields of Study

  • Mathematics
  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Fluid Dynamics.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster