A numerical resolution study of high order essentially non-oscillatory schemes applied to incompressible flow. Final Report

Technical Report · Sat Aug 01 04:00:00 EDT 1992

OSTI ID:6997373

Weinan, E; Shu, Chi-Wang

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.

• Research Organization: National Aeronautics and Space Administration, Hampton, VA (United States). Inst. for Computer Applications in Science and Engineering
• OSTI ID: 6997373
• Report Number(s): N-92-33110; NASA-CR--189692; NAS--1.26:189692; ICASE--92-39; CNN: NAS1-18605; NAS1-19480; DAAL03-91-G-0123; NAG1-1145; AF-AFOSR-0090-90; NSF DMS-91-00383; RTOP 505-90-52-01
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
BOUNDARY CONDITIONS
CALCULATION METHODS
COMPRESSIBLE FLOW
CONSERVATION LAWS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLOW VISUALIZATION
FLUID FLOW
FOURIER TRANSFORMATION
INCOMPRESSIBLE FLOW
INTEGRAL TRANSFORMATIONS
NAVIER-STOKES EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
TRANSFORMATIONS