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A high-resolution numerical technique for inviscid gas-dynamic problems with weak solutions

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Eighth International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 170))

Abstract

The application of Harten's method to quasi-one-dimensional nozzle problems and to a two-dimensional shock-reflection problem resulted in high shock resolution steady-state numerical solutions. Applications of the postprocessor method and the modified implicit method for steady-state calculations show encouraging results for one-dimensional problems; however, testing in two dimensions is not complete and further investigation is needed for efficient implementation of the implicit method.

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References

  1. V.V. Rusanov, Lecture Notes in Physics, Vol. 141, 1981.

    Google Scholar 

  2. A. Harten, NYU Report, March 1982.

    Google Scholar 

  3. P.D. Lax, SIAM Conference Board of the Mathematical Sciences, 1972.

    Google Scholar 

  4. A. Harten, J.M. Hyman and P.D. Lax, Comm. Pure Appl. Math., Vol. 29, 1976.

    Google Scholar 

  5. P.L. Roe, J. Comp. Phys., Vol. 43, 1981.

    Google Scholar 

  6. R.F. Warming and R.M. Beam, SIAM-AMS Proceedings, Vol. 11, 1978.

    Google Scholar 

  7. R. M. Beam and R.F. Warming, AIAA paper 79-1446, 1979.

    Google Scholar 

  8. J. Steger and R.F. Warming, Comp. Phys., Vol. 40, No. 2, April 1981.

    Google Scholar 

  9. G. Strang, SIAM J. Numer. Anal. Vol. 5, 1968, pp. 506–517.

    Google Scholar 

  10. H.C. Yee, R.F. Warming and A. Harten, NASA TM-84256, June 1982.

    Google Scholar 

  11. R.W. MacCormack, AIAA paper 81-0110, 1981.

    Google Scholar 

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E. Krause

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© 1982 Springer-Verlag

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Yee, H.C., Warming, R.F., Harten, A. (1982). A high-resolution numerical technique for inviscid gas-dynamic problems with weak solutions. In: Krause, E. (eds) Eighth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 170. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11948-5_72

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  • DOI: https://doi.org/10.1007/3-540-11948-5_72

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11948-7

  • Online ISBN: 978-3-540-39532-4

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