Diffraction of strong shocks by cones, cylinders, and spheres

Bryson, Arthur E.; Gross, Rolf W. F.

doi:10.1017/s0022112061000019

Cited by 198 publications

(111 citation statements)

References 3 publications

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“…We establish the accuracy of our numerical scheme by comparing solutions obtained numerically with exact solutions found by Whitham and with numerical solutions found by Bryson & Gross ( 1961) using the method of characteristics for shock-wave diffraction. We then compare the numerical calculations with experimental data for all three cases.…”

Section: Resultsmentioning

confidence: 99%

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Numerical shock propagation using geometrical shock dynamics

1986

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A simple numerical scheme for the calculation of the motion of shock waves in gases based on Whitham's theory of geometrical shock dynamics is developed. This scheme is used to study the propagation of shock waves along walls and in channels and the self-focusing of initially curved shockfronts. The numerical results are compared with exact and numerical solutions of the geometrical-shock-dynamics equations and with recent experimental investigations.

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Section: Resultsmentioning

confidence: 99%

“…Results calculated numerically are compared with these exact solutions. Bryson & Gross (1961) obtained numerical and experimental results for shock-wave diffraction by cones, cylinders and spheres. Their numerical results used the method of characteristics, in contrast to the scheme we present in §3.…”

Section: Introductionmentioning

confidence: 99%

Numerical shock propagation using geometrical shock dynamics

1986

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“…This should be compared with the experimental results obtained by Bryson & Gross (1961) for shock interaction with a rigid sphere in air. Most of the features of the experiment are well reproduced by the simulation, the exception being the vortex formed when the slip line produced by the first Mach reflection rolls up.…”

Section: 'mentioning

confidence: 91%

Supernova Remnants

Falle¹

1989

International Astronomical Union Colloquium

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Abstract.In this review I will concentrate on older remnants, by which I mean those in which radiative cooling is important somewhere and the swept up mass is sufficiently large for the details of the initial explosion not to matter. For such remnants it is the optical emission which is crucial since it allows us to deduce a great deal about the physical state of the emitting gas provided we are careful about how we interprete it. Without discussing any particular remnant in detail, I will consider how large and small scale density variations in the ambient medium affect the appearance and energetics of such remnants.Introduction.

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“…Two numerical approaches have been used for a wide range of problems: the method of characteristics 12,13 and front-tracking methods. 8 Characteristics methods are typically more cumbersome than finite-difference methods and difficult to extend to three dimensional problems, and thus their numerical application has been fairly limited.…”

Section: Methodsmentioning

confidence: 99%

“…An analytical expression for the area-Mach number integral was originally given by Bryson and Gross. 12 Several misprints were later pointed out by Henderson. 15 For shock waves in water, such as occur in lithotripsy, the modified Tait equation of state originally proposed by Kirkwood and Bethe 16 provides a convenient form for analysis.…”

Section: ͑22͒mentioning

confidence: 99%

Shock wave focusing using geometrical shock dynamics

Cates

Sturtevant

1997

Physics of Fluids

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A finite-difference numerical method for geometrical shock dynamics has been developed based on the analogy between the nonlinear ray equations and the supersonic potential equation. The method has proven to be an efficient and inexpensive tool for approximately analyzing the focusing of weak shock waves, where complex nonlinear wave interactions occur over a large range of physical scales. The numerical results exhibit the qualitative behavior of strong, moderate, and weak shock focusing observed experimentally. The physical mechanisms that are influenced by aperture angle and shock strength are properly represented by geometrical shock dynamics. Comparison with experimental measurements of the location at which maximum shock pressure occurs shows good agreement, but the maximum pressure at focus is overestimated by about 60%. This error, though large, is acceptable when the speed and low cost of the method is taken into consideration. The error is primarily due to the under prediction of disturbance speed on weak shock fronts. Adequate resolution of the focal region proves to be particularly important to properly judge the validity of shock dynamics theory, under-resolution leading to overly optimistic conclusions. © 1997 American Institute of Physics.

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Diffraction of strong shocks by cones, cylinders, and spheres

Cited by 198 publications

References 3 publications

Numerical shock propagation using geometrical shock dynamics

Numerical shock propagation using geometrical shock dynamics

Supernova Remnants

Shock wave focusing using geometrical shock dynamics

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