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 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-scale/multi-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.

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Document Details

Document Type
Technical Report
Publication Date
Apr 10, 2020
Accession Number
AD1103121

Entities

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  • Jennifer Ryan

Organizations

  • University of East Anglia

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  • Energy and Power Technologies

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  • Abstracts
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  • Air Force
  • Air Force Research Laboratories
  • Algorithms
  • Computational Fluid Dynamics
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  • Differential Equations
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  • Error Analysis
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  • Fluid Dynamics
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  • Mathematics
  • Partial Differential Equations
  • Polynomials
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  • Turbulence
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  • Computational Fluid Dynamics (CFD)
  • Systems Analysis and Design