Optimal microstructures drag reducing mechanism of riblets

DOI10.1007/s00021-010-0033-yzbMath1270.76031OpenAlexW1987134828MaRDI QIDQ361140

Elfriede Friedmann, Thomas Richter

Publication date: 28 August 2013

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-010-0033-y

zbMATH Keywords

Navier-Stokes equationshomogenizationshape optimizationboundary layerCouette flowdrag minimization

Mathematics Subject Classification ID

Turbulent boundary layers (76F40) Homogenization applied to problems in fluid mechanics (76M50) Control of turbulent flows (76F70)

Related Items

\(L^p\)-strong solution for the stationary exterior Stokes equations with Navier boundary condition, Weighted Hilbert spaces for the stationary exterior Stokes problem with Navier slip boundary conditions, Effective Boundary Conditions: A General Strategy and Application to Compressible Flows Over Rough Boundaries, A two-step model order reduction method to simulate a compressible flow over an extended rough surface, Effective boundary conditions for compressible flows over rough boundaries

Uses Software

• FEMLISP

Cites Work

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• A finite element pressure gradient stabilization for the Stokes equations based on local projections
• Couette flows over a rough boundary and drag reduction
• Solutions of 3D Navier-Stokes benchmark problems with adaptive finite elements
• An optimal control approach to a posteriori error estimation in finite element methods
• The optimal shape of riblets in the viscous sublayer