Hypersonic flow past slender bodies in dispersive hydrodynamics

G. A. El; V. V. Khodorovskii; A. V. Tyurina

doi:10.1016/j.physleta.2004.10.036

Hypersonic flow past slender bodies in dispersive hydrodynamics

G. A. El, V. V. Khodorovskii, A. V. Tyurina

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

The problem of two-dimensional steady hypersonic flow past a slender body is formulated for dispersive media. It is shown that for the hypersonic flow, the original 2+0 boundary-value problem is asymptotically equivalent to the 1+1 piston problem for the fully nonlinear flow in the same physical system, which allows one to take advantage of the analytic methods developed for one-dimensional systems. This type of equivalence, well known in ideal Euler gas dynamics, has not been established for dispersive hydrodynamics so far. Two examples pertaining to collisionless plasma dynamics are considered.

Original language	English
Pages (from-to)	334-340
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	333
Issue number	3-4
Early online date	12 Oct 2004
DOIs	https://doi.org/10.1016/j.physleta.2004.10.036
Publication status	Published - 6 Dec 2004
Externally published	Yes

Keywords

Dispersive shock
Hypersonic flow
Nonlinear flow past body

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10.1016/j.physleta.2004.10.036

http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.387.2902&rep=rep1&type=pdf

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AU - El, G. A.

AU - Khodorovskii, V. V.

AU - Tyurina, A. V.

PY - 2004/12/6

Y1 - 2004/12/6

N2 - The problem of two-dimensional steady hypersonic flow past a slender body is formulated for dispersive media. It is shown that for the hypersonic flow, the original 2+0 boundary-value problem is asymptotically equivalent to the 1+1 piston problem for the fully nonlinear flow in the same physical system, which allows one to take advantage of the analytic methods developed for one-dimensional systems. This type of equivalence, well known in ideal Euler gas dynamics, has not been established for dispersive hydrodynamics so far. Two examples pertaining to collisionless plasma dynamics are considered.

AB - The problem of two-dimensional steady hypersonic flow past a slender body is formulated for dispersive media. It is shown that for the hypersonic flow, the original 2+0 boundary-value problem is asymptotically equivalent to the 1+1 piston problem for the fully nonlinear flow in the same physical system, which allows one to take advantage of the analytic methods developed for one-dimensional systems. This type of equivalence, well known in ideal Euler gas dynamics, has not been established for dispersive hydrodynamics so far. Two examples pertaining to collisionless plasma dynamics are considered.

KW - Dispersive shock

KW - Hypersonic flow

KW - Nonlinear flow past body

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JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 3-4

ER -

Hypersonic flow past slender bodies in dispersive hydrodynamics

Abstract

Keywords

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