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Matem. Mod., 2007, Volume 19, Number 7, Pages 56–66 (Mi mm989)  

This article is cited in 10 scientific papers (total in 10 papers)

High accuracy scheme for solving nonlinear aeroacoustics problems on unstructured meshes

I. V. Abalakin, T. K. Kozubskaya

Institute for Mathematical Modelling, Russian Academy of Sciences

Abstract: The paper represents a multi-parameter family of higher accuracy (up to the 6th order) schemes for solving 1D linear transport equation. The schemes are constructed on the base of central-difference approximation of space derivatives with adding the upwinding dissipation and the linear Runge-Kutta method of arbitrarily high order of accuracy for the time integration. A detailed analysis of computational errors and an example of test computation are given.

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Received: 11.12.2006

Citation: I. V. Abalakin, T. K. Kozubskaya, “High accuracy scheme for solving nonlinear aeroacoustics problems on unstructured meshes”, Matem. Mod., 19:7 (2007), 56–66

Citation in format AMSBIB
\Bibitem{AbaKoz07}
\by I.~V.~Abalakin, T.~K.~Kozubskaya
\paper High accuracy scheme for solving nonlinear aeroacoustics problems on unstructured meshes
\jour Matem. Mod.
\yr 2007
\vol 19
\issue 7
\pages 56--66
\mathnet{http://mi.mathnet.ru/mm989}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2369753}
\zmath{https://zbmath.org/?q=an:1137.76483}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. I. V. Abalakin, A. V. Gorobets, T. K. Kozubskaya, “Vychislitelnye eksperimenty po zvukopogloschayuschim konstruktsiyam”, Matem. modelirovanie, 19:8 (2007), 15–21  mathnet  zmath
    2. I. A. Borovskaya, T. K. Kozubskaya, O. Kurbanmuradov, K. K. Sabelfeld, “O modelirovanii odnorodnykh sluchainykh polei i signalov i ikh ispolzovanii v zadachakh aeroakustiki”, Matem. modelirovanie, 19:10 (2007), 76–88  mathnet  mathscinet  zmath
    3. T. G. Elizarova, E. V. Shilnikov, “Numerical analysis of a quasi-gasdynamic algorithm as applied to the Euler equations”, Comput. Math. Math. Phys., 49:11 (2009), 1869–1884  mathnet  crossref  isi
    4. P. A. Bakhvalov, T. K. Kozubskaya, E. D. Kornilina, A. V. Morozov, M. V. Jakobovskii, “Technology of predicting acoustic disturbances in flow far field”, Math. Models Comput. Simul., 4:3 (2012), 363–373  mathnet  crossref  mathscinet
    5. Duben' A.P., Kozubskaya T.K., Korolev S.I., Maslov V.P., Mironov A.K., Mironova D.A., Shakhparonov V.M., “Acoustic flow in the resonator throat: Experiment and computational modeling”, Acoustical Physics, 58:1 (2012), 69–80  crossref  adsnasa  isi  elib  elib  scopus
    6. Duben A.P., Kozubskaya T.K., Mironov M.A., “Numerical investigation of resonators in a waveguide”, Fluid Dynamics, 47:1 (2012), 129–138  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    7. Abalakin I.V., Bakhvalov P.A., Gorobets A.V., Duben A.P., Kozubskaya T.K., “Parallelnyi programmnyi kompleks noisette dlya krupnomasshtabnykh raschetov zadach aerodinamiki i aeroakustiki”, Vychislitelnye metody i programmirovanie: novye vychislitelnye tekhnologii, 13:2 (2012), 110–125  mathnet  mathscinet  elib
    8. A. P. Duben, “Computational technologies for simulation of complex near-wall turbulent flows using unstructured meshes”, Math. Models Comput. Simul., 6:2 (2014), 162–171  mathnet  crossref  mathscinet
    9. I. V. Abalakin, T. K. Kozubskaya, “Skhema na osnove reberno-orientirovannoi kvaziodnomernoi rekonstruktsii peremennykh dlya resheniya zadach aerodinamiki i aeroakustiki na nestrukturirovannykh setkakh”, Matem. modelirovanie, 25:8 (2013), 109–136  mathnet  mathscinet
    10. Yan D., Mao J., Liu X., Yang M., “Subway Timetable Adjusting Method Research of Bi-directional Trains Arriving at a Station Asynchronously”, Advanced Computer Architecture, Communications in Computer and Information Science, 626, eds. Wu J., Li L., Springer-Verlag Singapore Pte Ltd, 2016, 198–210  crossref  isi  scopus
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