Reduced Navier-Stokes equations near a flow boundary

PHYSICA D-NONLINEAR PHENOMENA

卷:217

Article

Kilic, M. S. ; Jacobs, G. B. ; Hesthaven, J. S. ; Haller, G.

关键词: reduced-order models;    Navier-Stokes equations;    flow control;   

DOI  :  10.1016/j.physd.2006.04.008

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free