Acoustic shocks in a variable area duct containing near sonic flows

Hariharan, S. I.; Lester, H. C.

doi:10.1016/0021-9991(85)90161-5

Cited by 5 publications

(2 citation statements)

References 8 publications

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“…Although true fourth-order accuracy is obtained only for ~t = 0(~x)2) it has been found that (2.1) is considerably more efficient than second-order schemes (see for example [6], [9][10]). For two-d1mensional problems (2.1) can be used together with operator splitting [11] to maintain the (2-4) accuracy.…”

Section: Numerical Schemementioning

confidence: 99%

A fourth-order scheme for the unsteady compressible Navier-Stokes equations

Bayliss

Parikh²,

Maestrello³

et al. 1985

18th Fluid Dynamics and Plasmadynamics and Lasers Conference

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Section: Numerical Schemementioning

confidence: 99%

A fourth-order scheme for the unsteady compressible Navier-Stokes equations

Bayliss

Parikh²,

Maestrello³

et al. 1985

18th Fluid Dynamics and Plasmadynamics and Lasers Conference

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“…However, a sequence of study reported by Hariharan and Lester [4,5] for one-dimensional problems and by Hariharan [6] for two-dimensional problems of nonlinear acoustic calculations shows that only two terms are needed to investigate the nonlinearity, even for the case of shock waves. A natural question one may ask is why not solve the nonlinear problem directly, as in the above references, including discontinuities in the solutions such as shock waves.…”

mentioning

confidence: 99%

Nonlinear acoustic wave propagation in atmosphere

Hariharan¹

1987

Quart. Appl. Math.

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Abstract. In this paper we consider a model problem that simulates an atmospheric acoustic wave propagation situation that is nonlinear. The model is derived from the basic Euler equations for the atmospheric flow and from the regular perturbations for the acoustic part. The nonlinear effects are studied by obtaining two successive linear problems in which the second one involves the solution of the first problem. Well-posedness of these problems is discussed and approximations of the radiation boundary conditions that can be used in numerical simulations are presented.1. Introduction. In this paper we are interested in a two-dimensional model of acoustic wave propagation in the atmosphere. The propagation originates from a point source with a high intensity of sound. It is well known that acoustic wave propagation in the atmosphere is rather a complex phenomenon. It is influenced by atmospheric conditions such as pressure, density, temperature, and wind variations. To analyze the complete problem is a difficult task. However, numerical methods have proven capabilities of handling such problems, but it has not yet been carried out for this class of problems. During the 1960s approximate analytical methods have been attempted for simplified models of the atmosphere. Axisymmetric three-dimensional time-dependent models were

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