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Journal ArticleDOI

Numerical Simulation of Shock Wave -Turbulent Boundary-Layer Interaction

J. S. Shang, +2 more
- 26 Jan 1976 - 
- Vol. 14, Iss: 10, pp 1451-1457
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TLDR
In this article, numerical solutions of the Navier-Stokes equations are presented for the interactions of a shock wave and a turbulent boundary layer, provided by a relaxation eddy viscosity model that approximates the response of turbulence to a severe pressure gradient.
Abstract
Numerical solutions of the Navier-Stokes equations are presented for the interactions of a shock wave and a turbulent boundary layer. The turbulent closure is provided by a relaxation eddy viscosity model that approximates the response of turbulence to a severe pressure gradient. The relaxation eddy viscosity model was successfully applied for a series of compression ramp configurations in a previous investigation by the authors. In the present analysis, further verification of the eddy viscosity model is attempted by investigating shock impingement on a turbulent boundary layer. Computations were performed for shock generators varying from 7.93° to 12.17°, at a freestream Mach number of 2.96 and a Reynolds number of 1.2 x 107. Numerical results obtained with MacCormack's scheme were compared with experimental measurements of the surface pressure distribution and the location of the separation and reattachment points. The density distribution throughout the entire interacting flowfield was also compared with experimental results obtained from holographic interferograms. In general, all essential features of the experimental observation were duplicated by the numerical computation.

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Citations
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Journal ArticleDOI

Shock wave/turbulent boundary layer interaction and its control

TL;DR: In this paper, a review of the fundamental properties of the interaction between a shock wave and a boundary layer is presented, with emphasis on the physics of phenomena involved in this process.
Journal ArticleDOI

Advances in CFD prediction of shock wave turbulent boundary layer interactions

TL;DR: In this paper, a survey of recent computational fluid dynamics (CFD) simulations of turbulent boundary layer interactions is presented, and the capabilities and limitations are described, and future research needs identified.
Book ChapterDOI

Shock-wave boundary layer interactions

TL;DR: In this paper, a comprehensive, up-to-date review of the shock-wave boundary-layer interaction problem is presented, with a detailed physical description of the phenomena for transonic and supersonic speed regimes.
Proceedings ArticleDOI

Compressible large eddy simulation using unstructured grids

TL;DR: In this article, the authors presented an algorithm for compressible large eddy simulation using unstructured tetrahedral grids. But their method is based on the second-order Runge-Kutta method.
Journal ArticleDOI

Turbulence Modeling for Computational Aerodynamics

TL;DR: The status of turbulence modeling for external aerodynamic flows is reviewed, and closure concepts for the compressible form of the Reynolds-averaged Navier-Stokes equations are briefly outlined to establish a framework for comparison.
References
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Journal ArticleDOI

Self-induced separation

TL;DR: In this paper, a rational theory is developed to explain the initial pressure rise and consequent separation of a laminar boundary layer when it interacts with a moderately strong shock, where the region of interest is divided into three parts: the major part of the boundary layer, which is shown to change under largely inviscid forces, the supersonic main stream just adjacent to the boundary surface, and a region close to the wall, on boundary-layer scale, in which the relative variation of the velocity is controlled by the incompressible boundary layer equations.

Effects of Streamline Curvature on Turbulent Flow.

TL;DR: A review of current knowledge, a discussion of methods of predicting curvature effects, and a presentation of principles for the guidance of future workers can be found in this article, along with a progress report.
Book ChapterDOI

Numerical solution of the interaction of a shock wave with a laminar boundary layer

TL;DR: In this paper, a modified Lax-Wendroff difference technique was used to detect shock wave interaction with laminar boundary layer on flat plate using modified Lazy Lazy Wasserstein difference technique.
Journal ArticleDOI

Interactions between shock waves and turbulent boundary layers

TL;DR: In this article, the fluid mechanics of the interaction between a shock wave and a turbulent boundary layer at speeds ranging from transonic to high supersonic are discussed, and some possibly fruitful avenues for further research are indicated.
Proceedings ArticleDOI

A numerical method for solving the Navier-Stokes equations with application to shock-boundary layer interactions

TL;DR: In this article, a numerical method for solving the compressible form of the unsteady Navier-Stokes equations is described, with emphasis on the choice of a computational mesh for high Reynolds number flows, finitedifference approximations for mixed partial derivatives, extension of the Courant-Friedrichs-Lewy stability condition for viscous flows, mesh boundary conditions, and numerical smoothing for strong shock-wave calculations.
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