Multi-scale Higher Order Methods for Underresolved Simulations Useful in Turbulence Modelling
Technical Report,15 Sep 2018,14 Sep 2019
UNIVERSITY OF EAST ANGLIA NORWICH United Kingdom
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Mathematically rigorous techniques that are tailored for and integrated into specific application areas are necessary from both a mathematical and engineering perspective. One of these application areas is that of simulating turbulence. Simulating turbulence requires resolution of a significant range of scales, such as fine dissipative scales and scales containing most of the kinetic energy. These problems are found in atmospheric modelling as well as traditional aerodynamic applications. One of the key ingredients in simulating turbulence is that of passing numerical information from fine scales to coarse scales. That is, multi-scalemulti-resolution information. This proposal focuses on isolating the numerical errors in passing information between scales. This one-year initial phase established how the errors are improved when combining accuracy-enhancing post-processing with multi-resolution analysis.
- Fluid Mechanics
- Numerical Mathematics