Title:
A new approach towards stability analysis of laminar-turbulent transition flow
Agreement Value:
$31,500.00
Agreement Date:
Mar 6, 2020 - Mar 31, 2022
Description:
In the current project, a new cost functional for the variational formulation is proposed, wherein all the intrinsic properties of the most complete version of the Navier-Stokes equation including the non-linear terms are incorporated. To achieve this, one needs to simultaneously consider the Navier-Stokes system and its dual by means of non-convex optimization theory. Due to the presence of a convex function and its Fenchel dual, this new and symmetric energy functional is constructed and used as follows: first, a general framework, in which solutions of the Navier-Stokes system – which is not of the Euler-Lagrange type – are identified as the minima of an appropriately devised non-negative self-dual energy functional. As the second step, such self-dual features are used to develop a systematic approach for a variational resolution and stability of the solutions of the developed equations.
Organization:
National Research Council Canada
Expected Results:
In the short term, anticipated outcomes will be strengthened collaborations across industry, academia, and government to support research excellence. In the medium term, anticipated outcomes will be the development of new and potentially disruptive technologies with collaborators.
Location:
Ottawa, Ontario, CA K1S 5B6
Reference Number:
172-2020-2021-Q4-944746
Report Type:
Grants and Contributions
Recipient Business Number:
118838937
Additional Information:
This agreement has been amended 1 time(s). The total amended value is $31500 and the end date of this agreements has been modified by 365 days)
Amendment Date
Jan 29, 2021
Recipient's Legal Name:
Carleton University
Federal Riding Name:
Ottawa Centre
Federal Riding Number:
35075
Program:
Collaborative Science, Technology and Innovation Program – Ideation Fund
Program Purpose:
The Ideation Fund is intended to encourage, test and validate transformative research ideas generated by teams of NRC scientific personnel and external collaborators with complementary capabilities, acting as a demonstration phase for a continually-evolving suite of research and development (R&D) deliverables at the NRC. The fund supports exploratory research through two mechanisms: the New Beginnings Initiative and the Small Teams Initiative.
NAICS Code:
541710 - R&D in the physical, engineering and life sciences