Objective
The mathematical modelling of turbulent quantities in terms of stochastic differential equations is of increasing importance for efficient flow computations in geophysical and industrial applications Using the Mori-Zwanzig projector formalism from Brownian motion theory, we formally derive exact non-Markovian Langevin models for turbulent diffusion from the Navier-Stokes equations. The first aim, the rigorous formulation of stochastic models for the atmospheric dispersion of contaminants, has almost been completed and emphasizes the fundamental Markofi approximation. Constructing a stochastic process for the Lagrangian velocities consistent with an analytic mean-field theory, unified approach will be developed to stochastic diffusion models, second-order Reynolds stress closures, and subgrid models for large-eddy simulations. Expected novel results are a theoretical derivation of the stochastic backscatter in large-eddy simulations and the explicit Reynolds-number dependence of the model coefficients. All models will be tested numerically against data from direct numerical simulations. Applications to the dispersion of hazardous contaminants, turbulent boundary layers, and combustion problems will be considered
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics mathematical analysis differential equations
- natural sciences physical sciences classical mechanics fluid mechanics fluid dynamics
- natural sciences mathematics applied mathematics mathematical model
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
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Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Funding Scheme
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Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
CB3 9EW Cambridge
United Kingdom
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