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Proceedings ArticleDOI

Diffraction of a shock wave by a compression corner. I - Regular reflection

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TLDR
In this article, a second-order, discontinuity-fitting, finite-difference approach was used to determine the flow field resulting from the interaction of a moving planar shock wave with a compression corner.
Abstract
The unsteady, two-dimensional flowfield resulting from the interaction of a moving planar shock wave with a compression corner is determined using a second-order, discontinuity-fitting, finite-difference approach. The time-dependent Euler equations are transformed to normalize the distance between the body and peripheral shock and to include the existing self-similar property of the flow. The resulting set of partial differential equations in conservation-law form is then solved in a time-dependent fashion using MacCormack's scheme. The vortical singularity, which lies on the body surface, and the single reflected shock are both treated as discontinuities in the numerical procedure. The results of the numerical simulation compare quite favorably with existing experimental interferograms and yield better flowfield resolution than previous first-order, shock-capturing, numerical solutions.

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Citations
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Journal ArticleDOI

Regular and Mach Reflection of Shock Waves

TL;DR: In this article, a review of the literature in the field of shock reflection is presented, with explicit reference to the important authors omitted in the text unless their work is relatively recent.
Journal ArticleDOI

Unsteady interactions of shock waves

TL;DR: In this paper, the shape of diffracting waves is calculated by modifying Whitham's theory for the calculation of the shape and the flow pattern of diffracted waves in gases.
Journal ArticleDOI

On initial-value and self-similar solutions of the compressible Euler equations

TL;DR: In this paper, the issue of convergence for initial value solutions and similarity solutions of the compressible Euler equations in two dimensions in the presence of vortex sheets (slip lines) was examined.
Journal ArticleDOI

An update on non-stationary oblique shock-wave reflections: actual isopycnics and numerical experiments

TL;DR: In this article, the authors investigated nonstationary oblique shock-wave reflections over compressive wedges in air and argon using infinite-fringe interferometric techniques, which allowed direct, continuous and accurate observations of the isopycnics (lines of constant density) of the flow field.
Journal ArticleDOI

Circulation measurements and vortical structure in an inlet-vortex flow field

TL;DR: In this article, an investigation has been conducted of the three-dimensional flow associated with the inlet-vortex phenomenon and quantitative measurements were made of inlet and trailing vortex circulation and position and flow visualization was used to obtain information on the overall structure of the vorticity field.
References
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Difference methods for initial-value problems

TL;DR: In this article, differentielles and stabilite were used for differentiable transport in the context of transfert de chaleur and ondes Reference Record created on 2005-11-18, modified on 2016-08-08
Book

Supersonic flow and shock waves

TL;DR: In this article, the authors proposed a method to compressible ecoulement for compressible compressible and supersonique and onde de choc Reference Record created on 2005-11-18, modified on 2016-08-08
Journal ArticleDOI

The Effect of Viscosity in Hypervelocity Impact Cratering

TL;DR: In this paper, a numerical method for time dependent compressible Navier-Stokes equations applied to axisymmetric flow field produced by hypervelocity impact, examining viscous effects is presented.
Journal ArticleDOI

Conservation equations of gasdynamics in curvilinear coordinate systems

TL;DR: In this article, a method of writing the conservation equations of gasdynamics in curvilinear coordinates which eliminates undifferentiated terms is presented. But the method is only applicable to orthogonal coordinates and not to general tensor transformations.
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