Weighted Essentially Non-Oscillatory Schemes on Triangular Meshes.

Abstract

In this paper we construct high order weighted essentially non-oscillatory (WENO) schemes on two dimensional unstructured meshes (triangles) in the finite volume formulation. We present third order schemes using a combination of linear polynomials, and fourth order schemes using a combination of quadratic polynomials. Numerical examples are shown to demonstrate the accuracies and robustness of the methods for shock calculations.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1998
Accession Number
ADA352438

Entities

People

  • Changqing Hu
  • Chi-Wang Shu

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Applied Mathematics
  • Boundary Layer
  • Cauchy Problem
  • Computational Fluid Dynamics
  • Computational Science
  • Equations
  • Euler Equations
  • Flow
  • Fluid Mechanics
  • Gas Dynamics
  • Linear Systems
  • Mathematics
  • Polynomials
  • Shock Tubes
  • Triangles
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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