A Numerical Resolution Study of High Order Essentially Non-Oscillatory Schemes Applied to Incompressible Flow

Abstract

High-order essentially non-oscillatory (ENO) schemes, originally designed for compressible flow and in general for hyperbolic conservation laws, are applied to incompressible Euler and Navier-Stokes equations with periodic boundary conditions. The projection to divergence-free velocity fields is achieved by fourth-order central differences through Fast Fourier Transforms (FFT) and a mild high-order filtering. The objective of this work is to assess the resolution of ENO schemes for large-scale features of the flow when a coarse grid is used and small-scale features of the flow, such as shears and roll-ups, are not fully resolved. It is found that high-order ENO schemes remain stable under such situations and quantities related to large-scale features, such as the total circulation around the roll-up region, are adequately resolved.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1992
Accession Number
ADA255864

Entities

People

  • Chi-Wang Shu
  • Weinan E

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Applied Mathematics
  • Boundaries
  • Compressible Flow
  • Computations
  • Computers
  • Contracts
  • Convection
  • Equations
  • Euler Equations
  • Filters
  • Flow
  • Incompressible Flow
  • Mathematics
  • Navier Stokes Equations
  • Turbulent Mixing
  • Two Dimensional

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.