Straightforward high-order numerical dissipation via the viscous term for direct and large eddy simulation
✍ Scribed by Eric Lamballais; Véronique Fortuné; Sylvain Laizet
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 920 KB
- Volume
- 230
- Category
- Article
- ISSN
- 0021-9991
No coin nor oath required. For personal study only.
✦ Synopsis
In this short note, we show how to use a highly accurate finite-difference scheme to compute second derivatives in the Navier-Stokes equations while ensuring targeted numerical dissipation. This approach, essentially non conservative, is shown to be close to an upwind method and is straightforward to implement with a negligible computational extra cost. The benefit offered by the resulting discrete operator is illustrated for the direct computation of sound in aeroacoustics and in the more general context of large-eddy simulation through connections with hyperviscosity and spectral vanishing viscosity.