Project description
Improving probabilistic fluid dynamics to account for noise
Complex fluids can follow random patterns, whose probability can be predicted using sophisticated equations. The ERC-funded NoisyFluid project aims to further develop these equations by modifying them to account for the presence of random elements, such as an additive or transport noise. Researchers will describe noise near boundaries due to vortex productions, enhanced dissipation, enhanced coalescence, as well as the propagation of additive noise at a variety of scales. This will include large-scale transport noise and its consequences on eddy viscosity. One of the goals is understanding whether noise regularises the three-dimensional Navier-Stokes equations.
Objective
Fluids, in complex regimes, show random features. The aim of this project is approaching several questions around the randomness of fluids by means of a theory that could be called “Stochastic Fluid Mechanics”. The distinctive feature of this theory, opposite to others that investigated the stochastic features of fluids, is that it is based on the usual continuum mechanics equations, in particular the Navier-Stokes and Euler equations, but suitably modified by the presence of random elements, like an additive or a transport type noise.
Stochastic equations of fluid dynamics have been studied already for three decades and the number of foundational results is very large. However, two basic directions have been explored only partially:
a) the origin and the form of noise in fluids
b) the consequences of the presence of noise.
This project will make progresses in these two directions, describing the noise near boundary due to vortex productions, including the question of intrinsic stochasticity at the boundary, the propagation of additive noise at small scales to a transport-stretching noise at large scales, the consequences of transport noise on eddy viscosity, enhanced dissipation, enhanced coalescence, and other applications in turbulence and Geophysics.
The most ambitious core of the project is putting together these pieces in a picture that explains the mechanism of regularization by noise for the 3D Navier-Stokes equations. The additive noise at small scales is responsible for a transport-stretching noise at larger scales which could prevent blow-up of high intensity vortex structures. We have already proved recently that a noise, of transport type only, has this regularization effect, but stretching amplifies vorticity and new progresses are needed to cope with both processes. We aim to use the experimentally observed fact that small scale velocity should be approximately orthogonal to vorticity in high intensity regions.
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.
You need to log in or register to use this function
We are sorry... an unexpected error occurred during execution.
You need to be authenticated. Your session might have expired.
Thank you for your feedback. You will soon receive an email to confirm the submission. If you have selected to be notified about the reporting status, you will also be contacted when the reporting status will change.
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.
-
HORIZON.1.1 - European Research Council (ERC)
MAIN PROGRAMME
See all projects funded under this programme
Topic(s)
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.
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.
Funding Scheme
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.
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.
HORIZON-ERC - HORIZON ERC Grants
See all projects funded under this funding scheme
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) ERC-2021-ADG
See all projects funded under this callHost institution
Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
56126 PISA
Italy
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.