MULTI-SCALE HIGHER ORDER METHODS FOR UNDERRESOLVED SIMULATIONS USEFUL IN TURBULENCE MODELLING
Abstract
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 ne 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-scale/multi-resolution information. This proposal focuses on isolating the numerical errors in passing information between scales. This will be done by combining the main two areas of research { multi-resolution analysis and extracting extra accuracy out of existing numerical approximations.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Aug 12, 2021
- Source ID
- FA95502010166
Entities
People
- Jennifer Ryan
Organizations
- Air Force Office of Scientific Research
- Colorado School of Mines
- United States Air Force