Establishment of circumfluence (steady-state flow) when a shock wave strikes a cylinder or a sphere

Kolgan, V. P.; Fonarev, A. S.

doi:10.1007/bf01205757

Cited by 4 publications

(3 citation statements)

References 4 publications

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“…For the former, the use of gradient data to interpolate the Riemann left and right states is commonly used in the MUSCL scheme for finite volume methods [27][28][29]. This method can equally be applied here to improve the assembly of the wave information to second-order accuracy in much the same way as it used in other methods.…”

Section: Weighting Scheme and Higher-order Accuracymentioning

confidence: 97%

“…The algorithm will follow the same outline as that expressed, except the wave strengths are provided explicitly by equation (29). The eigenvalues are given by equation (27), and the eigenvectors by equation (28). This information is used in the discretization of the initial data during Step 2 of the linear algorithm.…”

Section: Mathematical Structure Of Maxwell's Equationsmentioning

confidence: 99%

“…The eigenvalues of A are λ 1 = λ 2 = 0, λ 3 = λ 4 = −1, λ 5 = λ 6 = +1 (27) The eigenvectors of A can be written…”

Section: Mathematical Structure Of Maxwell's Equationsmentioning

confidence: 99%

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A discontinuous wave-in-cell numerical scheme for hyperbolic conservation laws

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confidence: 97%

Section: Mathematical Structure Of Maxwell's Equationsmentioning

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A discontinuous wave-in-cell numerical scheme for hyperbolic conservation laws

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Aeroelastic interaction of the shock waves with the thin-walled composite shells

Evseev

Морозов

2001

Composite Structures

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Shock wave diffraction over wedges, cylinders, and spheres in gases, liquids, and condensed matter

Gonor¹,

Gottlieb

Hooton

2004

Journal of Applied Physics

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The problem of the initial diffraction of a planar shock wave moving along the front surface of a wedge, cylinder, and sphere is solved analytically for three cases when the fluid around the body is a gas, liquid, and condensed matter, and when the reflection pattern is regular shock reflection. The conservation equations of mass, momentum, and energy are solved across the incident and reflected shocks at the reflection point moving along the body surface, using the equation of state p=ρRT for gases, Tait’s equation of state for liquids, and D=su+a for condensed matter. The monotonic increase in the reflected shock pressure along the front surface of cylinders and spheres during regular shock reflection in liquids and condensed matter is unexpectedly different from well-known results for gases in which the reflected pressure decreases from the stagnation point to a minimum farther along the body.

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Establishment of circumfluence (steady-state flow) when a shock wave strikes a cylinder or a sphere

Cited by 4 publications

References 4 publications

A discontinuous wave-in-cell numerical scheme for hyperbolic conservation laws

A discontinuous wave-in-cell numerical scheme for hyperbolic conservation laws

Aeroelastic interaction of the shock waves with the thin-walled composite shells

Shock wave diffraction over wedges, cylinders, and spheres in gases, liquids, and condensed matter

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