Numerical Solution for Three-Dimensional Inviscid Supersonic Flow

Thomas, P. D.; Vinokur, Marcel; Bastianon, R.; Conti, R. J.

doi:10.2514/3.50241

Cited by 73 publications

(10 citation statements)

References 6 publications

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“…However, the x-coordinates were generated using a compression function due to Thomas et al [18]. In each zone there were N + 1 nodes (including end points) specified by Equation 1…”

Section: Qridsmentioning

confidence: 99%

Flow establishment in a generic scramjet combustor

Jacobs¹,

Rogers

Weidner

et al. 1992

Journal of Propulsion and Power

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“…However, the x-coordinates were generated using a compression function due to Thomas et al [18]. In each zone there were N + 1 nodes (including end points) specified by Equation 1…”

Section: Qridsmentioning

confidence: 99%

Flow establishment in a generic scramjet combustor

Jacobs¹,

Rogers

Weidner

et al. 1992

Journal of Propulsion and Power

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“…An efficient differencng scheme suggested by MacCormack (1971) and applied by Thomas et al (1972), is a second-order, two-step, predictor-correctQr of t4e form: 2)…”

Section: U8mentioning

confidence: 99%

A three‐dimensional model of corotating streams in the solar wind, 1. Theoretical foundations

Pizzo¹

1978

J. Geophys. Res.

140

103

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This paper is concerned with the development of the theoretical and mathematical background pertinent to the study of steady, corotating solar wind structure in all three spatial dimensions. The dynamical evolution of the plasma in interplanetary space (defined as the region beyond roughly 35 Rs where the flow is supersonic) is approximately described by the nonlinear, single‐fluid, polytropic magnetohydrodynamic or hydrodynamic equations. We outline efficient numerical techniques for solving this complex system of coupled, hyperbolic partial differential equations. The present formulation is inviscid and nonmagnetic, but our methods allow for the potential inclusion of both features with only modest modifications. We examine one simple, highly idealized hydrodynamic model stream to illustrate the fundamental processes involved in the three‐dimensional dynamics of stream evolution. We find that spatial variations in the rotational stream interaction mechanism produce small nonradial flows on a global scale that lead to the transport of mass, energy, and momentum away from regions of relative compression and into regions of relative rarefaction. The magnitude of this transport is small, but inside 1 AU the nonradial flow can significantly retard shock formation by allowing fluid in the compressions to slip laterally, thereby partially relieving the stresses built up in the stream interaction. Comparison with simpler models demonstrates the essential nonlinear, multidimensional nature of the interplanetary dynamics. A subsequent paper will be devoted to the investigation of a wide range of more realistic model streams.

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“…2) for a general axisymmetric body, the blast wave contribution C pQ has to be removed from the surface pressure computed by TRID. 2 After correcting the blast wave pressure C pQ for the conical shoulder (Fig. 4), the results shown in Fig.…”

Section: Discussionmentioning

confidence: 99%

Extension of unsteady embedded Newtonian theory

Ericsson

King

1993

Journal of Spacecraft and Rockets

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A previously developed unsteady embedded Newtonian theory has been extended to be able to predict the hypersonic unsteady aerodynamics of axisymmetric bodies of general shape with the accuracy needed for preliminary design. The static aerodynamics determined by a three-dimensional finite difference method are used together with unsteady embedded Newtonian flow concepts to provide the vehicle dynamics without significantly adding computational time to the static computer program.

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Numerical Solution for Three-Dimensional Inviscid Supersonic Flow

Cited by 73 publications

References 6 publications

Flow establishment in a generic scramjet combustor

Flow establishment in a generic scramjet combustor

A three‐dimensional model of corotating streams in the solar wind, 1. Theoretical foundations

Extension of unsteady embedded Newtonian theory

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