Overview

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. Weinan, E. and Shu, Chi-Wang Unspecified Center NASA-CR-189692, NAS 1.26:189692, ICASE-92-39, AD-A255864 NAS1-18605; NAS1-19480; DAAL03-91-G-0123; AF-AFOSR-0090-90; NSF DMS-91-00383; NAG1-1145; RTOP 505-90-52-01...

Full Product Details

9781725010765

Table of Contents

Reviews

Author Information

Tab Content 6

Countries Available