On Essentially Non-Oscillatory Schemes on Unstructured Meshes: Analysis and Implementation

Abstract

A few years ago, the class of Essentially Non-Oscillatory Schemes for the numerical simulation of hyperbolic equations and systems was constructed. Since then, some extensions have been made to multidimensional simulations of compressible flows, mainly in the context of very regular structured meshes. In this paper, we first recall and improve the results of an earlier paper about non-oscillatory reconstruction on unstructured meshes, emphasising the effective calculation of the reconstruction. Then we describe a class of numerical schemes on unstructured meshes and give some applications for its third order version. This demonstrates that a higher order of accuracy is indeed obtained, even on very irregular meshes.... ENO Schemes, High order accuracy, Numerical shock capturing scheme, Unstructured meshes.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1992
Accession Number
ADA261844

Entities

People

  • R. Abgrall

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Aeronautics
  • Algorithms
  • Boundaries
  • Compressible Flow
  • Computers
  • Contractors
  • Differential Equations
  • Engineering
  • Equations
  • Flow
  • Fluid Flow
  • Linear Systems
  • Shock Tubes
  • Simulations
  • Stratified Fluids
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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