Computational methods for finding exact solutions of shear flows
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About this item
| Description: |
Viswanath, D (Michigan)
Thursday 11 September 2008, 10:20-10:40 |
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| Created: | 2008-10-08 15:22 | ||||
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| Collection: | The Nature of High Reynolds Number Turbulence | ||||
| Publisher: | Isaac Newton Institute | ||||
| Copyright: | Viswanath, D | ||||
| Language: | eng (English) | ||||
| Distribution: |
World
(downloadable)
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| Keywords: | Transition; Turbulence; | ||||
| Credits: |
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| Explicit content: | No | ||||
| Aspect Ratio: | 4:3 | ||||
| Screencast: | No | ||||
| Bumper: | /sms-ingest/static/new-4x3-bumper.dv | ||||
| Trailer: | /sms-ingest/static/new-4x3-trailer.dv | ||||
| Abstract: | Direct numerical solution begins with an initial velocity field and uses the incompressible Navier-Stokes equation to evolve that field forward in time. It has been a huge success and has provided theoretical support for a large number of experiments and natural phenomena. To find steady solutions and traveling waves, one must solve for velocity fields that satisfy certain nonlinear requirements. To find periodic or relative periodic solutions, one must solve for an initial velocity field that evolves in time over a single period to reach a final state that is equal to the initial state modulo certain symmetries. This talk will describe the use of direct numerical solution, Krylov subspace methods, and the hookstep technique from nonlinear optimization to find such solutions.
A seminar from the Wall Bounded Shear Flows: Transition and Turbulence conference in association with the Newton Institute programme: The Nature of High Reynolds Number Turbulence www.newton.ac.uk/programmes/HRT/seminars/ |
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