Approximations of the Navier--Stokes equations for high Reynolds number flows past a solid wall.

DOI10.1016/j.cam.2003.09.035zbMath1107.76024OpenAlexW2028731061MaRDI QIDQ1428492

Jacques Mauss, Jean Cousteix

Publication date: 29 March 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.09.035

zbMATH Keywords

singular perturbationsasymptotic expansionsboundary layerhigh Reynolds number flowexternal vorticity effectshigher order effects in boundary layers

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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Cites Work

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• Uniformly valid approximation for singular perturbation problems and matching principle
• Theory of laminar boundary layer separation in supersonic flow
• Higher approximations in boundary-layer theory Part 1. General analysis
• New, quasi-simultaneous method to calculate interacting boundary layers
• Asymptotic defect boundary-layer theory applied to hypersonic flows
• Asymptotic Theory of Separated Flows
• Matching inviscid/boundary-layer flowfields
• On the laminar flow in a free jet of liquid at high Reynolds numbers
• An expansion method for singular perturbation problems
• Self-induced separation
• Boundary-Layer Flow Near the Trailing Edge of a Flat Plate
• Higher approximations in boundary-layer theory Part 2. Application to leading edges

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