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Acoustics in Viscous Subsonic Flow Models with Nonreflecting Boundary Conditions

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Abstract

The article investigates acoustic waves in a subsonic viscous thermally conducting gas. Two descriptions of the medium are compared: a description in terms of Navier–Stokes equations and a description as a quasi-gas-dynamic system based on a difference approximation of the Boltzmann equation. Reflection of acoustic waves from artificial boundaries in the numerical region is considered, and special boundary conditions are constructed to ensure damping of nonphysical modes. A difference approximation of such boundary conditions is investigated. The procedure is tested in application to viscous flow around plates.

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REFERENCES

  1. L. V. Dorodnitsyn and B. N. Chetverushkin, “An implicit scheme for simulation of subsonic gas flow,” Mat. Model., 9, No. 5, 108-118 (1997).

    Google Scholar 

  2. T. G. Elizarova and B. N. Chetverushkin, “Kinetically consistent schemes for simulating viscous thermally conducting gas flow,” Zh. Vychisl. Mat. Mat. Fiz, 28, No. 11, 1695-1710 (1988).

    Google Scholar 

  3. L. V. Dorodnitsyn, B. N. Chetverushkin, and E. V. Shil'nikov, “On implicit kinetically consistent schemes,” Mat. Model, 11, No. 7, 64-74 (1999).

    Google Scholar 

  4. S. V. Tsynkov, Construction of Numerical Algorithms for Flow Past Bodies in Regions with a Curvilinear Boundary [in Russian], Dissertation, Moscow (1991).

  5. V. S. Ryaben'kii, “Exact transfer of boundary conditions,” Vych. Mekh. Deform. Tverd. Tela, No. 1, 129-145 (1990).

  6. B. Engquist and A. Majda, “Numerical radiation boundary conditions for unsteady transonic flow,” J. Comp. Phys., 40, No. 1, 91-103 (1981).

    Google Scholar 

  7. A. Bayliss and E. Turkel, “Far field boundary conditions for compressible flows,” J. Comp. Phys., 48, No. 2, 182-199 (1982).

    Google Scholar 

  8. D. Givoli, “Non-reflecting boundary conditions,” J. Comp. Phys., 94, No. 1, 1-29 (1991).

    Google Scholar 

  9. J. Blaschak and G. Kriegsmann, “A comparative study of absorbing boundary conditions,” J. Comp. Phys., 77, No. 1, 109-139 (1988).

    Google Scholar 

  10. L. Tourrette, “Artificial boundary conditions for linearized compressible Navier-Stokes equations,” J. Comp. Phys., 137, No. 1, 1-37 (1997).

    Google Scholar 

  11. L. V. Dorodnitsyn, Acoustic Waves and Boundary Conditions in Viscous Subsonic Flow Models [in Russian], Preprint, MGU, Moscow (1999).

    Google Scholar 

  12. L. Tourrette, “Artificial boundary conditions for the linearized compressible Navier-Stokes equations. II. The discrete approach,” J. Comp. Phys., 144, No. 1, 151-179 (1998).

    Google Scholar 

  13. K. W. Thompson, “Time-dependent boundary conditions for hyperbolic systems,” J. Comp. Phys., 89, No. 2, 439-461 (1990).

    Google Scholar 

  14. B. Gustafsson and A. Sundstrum, “Incompletely parabolic problems in fluid dynamics,” SIAM J. Appl. Math., 35, No. 2, 343-357 (1978).

    Google Scholar 

  15. O. M. Ramahi, “Complementary boundary operators for wave propagation problems,” J. Comp. Phys., 133, No. 1, 113-128 (1997).

    Google Scholar 

  16. A. A. Samarskii, Theory of Difference Schemes [in Russian], Nauka, Moscow (1989).

    Google Scholar 

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Dorodnitsyn, L.V. Acoustics in Viscous Subsonic Flow Models with Nonreflecting Boundary Conditions. Computational Mathematics and Modeling 11, 356–376 (2000). https://doi.org/10.1023/A:1012588328522

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