| Autor: |
Kilic, MS, Jacobs, GB, Hesthaven, Jan S., Haller, G. |
| Rok vydání: |
2005 |
| Předmět: |
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| DOI: |
10.21236/ada458888 |
| Popis: |
We derive a hierarchy of PDEs for the leading-order evolution of wall-based quantities, such as the-skin-friction and the wall-pressure gradient, in two-dimensional fluid flows. The resulting Reduced Navier-Stokes (RNS) equations are defined on the boundary of the flow, and hence have reduced spatial dimensionality compared to the Navier-Stokes equations. This spatial reduction speeds up numerical computations and makes the equations attractive candidates for flow-control design. We prove that members of the RNS hierarchy are well-posed if appended with boundary-conditions obtained from wall-based sensors. We also derive the lowest-order RNS equations for three-dimensional flows. For several benchmark problems, our numerical simulations show close finite-time agreement between the solutions of RNS and those of the full Navier-Stokes equations. (c) 2006 Elsevier B.V. All rights reserved. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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