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Generalization of the Boundary Integral Method to Nonlinear Problems of Compressible Fluid Flow: The No-Mesh Alternative — Part II

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In this second part of the paper, we develop equations defining the field source and vorticity in terms of the local flow speed Q, for an idealized form of the compressible Navier-Stokes equation and dissipative energy equation. These equations naturally suppress the formation of expansion shocks, while indicating the incipient formation of compression shocks. We also propose an explicit treatment for compression shocks. We conclude with a brief discussion of the intuitive coupling between the boundary integral method and a knowledge-based system approach.

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References

  1. Hunt, B.: The panel method for subsonic aerodynamic flows: a survey of mathematical formulations and numerical models and an outline of the new BAe scheme. VKI Lecture Series 1978-4.

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  2. Hunt, B.: The mathematical basis and numerical principles of the boundary integral method for incompressible potential flow over 3D aerodynamic configurations. In: Numerical Methods in Applied Fluid Dynamics; Hunt, B. (ed.): Academic Press, London, 1980.

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  3. Hunt, B., Hewitt, B.L.: The indirect boundary integral formulation for elliptic, hyperbolic and nonlinear fluid flows. In: Developments in Boundary Element Methods — 4; Banerjee, P.K., Watson, J.O. (eds.): Elscvicr Applied Science Publishers, London, 1986.

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  4. Lighthill, M.J.: On displacement thickness; J. Fluid Mech., 4, 383 (1958)

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  5. Hunt, B.: Viscous/inviscid coupling; unpublished presentation to BAe and RAE, Pall Mall, London, January 1983.

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  6. Dulikravich, G.S., Mortara, K., Marraffa, L.; Physically consistent models for artificial dissipation in transonic potential flow computations. AIAA paper 88-3653, 1988.

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  7. Hughes, W.F., Brighton, J.A.: Schaum’s outline of theory and problems of fluid dynamics. Schaum’s Outline Series; McGraw-Hill, Inc., New York, 1967.

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  8. Hunt, B.; Recent and anticipated advances in the panel method: the key to generalised field calculations? VKI Lecture Series 1980-5.

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  9. Hunt, B. The role of computational fluid dynamics in high-angle-of-attack aerodynamics. AGARD Lecture Series 121, 1982.

    Google Scholar 

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© 1990 Springer-Verlag Berlin Heidelberg

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Hunt, B., Plybon, R.C. (1990). Generalization of the Boundary Integral Method to Nonlinear Problems of Compressible Fluid Flow: The No-Mesh Alternative — Part II. In: Annigeri, B.S., Tseng, K. (eds) Boundary Element Methods in Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84238-2_21

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  • DOI: https://doi.org/10.1007/978-3-642-84238-2_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84240-5

  • Online ISBN: 978-3-642-84238-2

  • eBook Packages: Springer Book Archive

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