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Zh. Vychisl. Mat. Mat. Fiz., 2009, Volume 49, Number 10, Pages 1868–1884 (Mi zvmmf4776)  

This article is cited in 9 scientific papers (total in 9 papers)

Preconditioning of the Euler and Navier–Stokes equations in low-velocity flow simulation on unstructured grids

K. N. Volkov

University of Surrey, Guildford, Surrey, GU2 7XH, UK

Abstract: Low-velocity inviscid and viscous flows are simulated using the compressible Euler and Navier–Stokes equations with finite-volume discretizations on unstructured grids. Block preconditioning is used to speed up the convergence of the iterative process. The structure of the preconditioning matrix for schemes of various orders is discussed, and a method for taking into account boundary conditions is described. The capabilities of the approach are demonstrated by computing the low-velocity inviscid flow over an airfoil.

Key words: low-velocity inviscid and viscous flow simulation, Euler equations, Navier–Stokes equations, finite-volume solver.

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English version:
Computational Mathematics and Mathematical Physics, 2009, 49:10, 1789–1804

Bibliographic databases:

UDC: 519.634
Received: 21.08.2008
Revised: 18.03.2009

Citation: K. N. Volkov, “Preconditioning of the Euler and Navier–Stokes equations in low-velocity flow simulation on unstructured grids”, Zh. Vychisl. Mat. Mat. Fiz., 49:10 (2009), 1868–1884; Comput. Math. Math. Phys., 49:10 (2009), 1789–1804

Citation in format AMSBIB
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\by K.~N.~Volkov
\paper Preconditioning of the Euler and Navier--Stokes equations in low-velocity flow simulation on unstructured grids
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\vol 49
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\pages 1868--1884
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\yr 2009
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\issue 10
\pages 1789--1804
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Volkov K.N., “Sravnenie dvukh- i trekhmernoi modeli turbulentnogo techeniya v konicheskoi kaverne gazoturbinnogo dvigatelya”, Vychislitelnye metody i programmirovanie: novye vychislitelnye tekhnologii, 12:1 (2011), 1–15  mathnet  elib
    2. Volkov K.N., “Turbulentnoe techenie vyazkogo szhimaemogo gaza v kamere predvaritelnoi zakrutki turbiny vysokogo davleniya”, Vychislitelnye metody i programmirovanie: novye vychislitelnye tekhnologii, 12:1 (2011), 303–316  mathnet  elib
    3. K. N. Volkov, “Implementation and comparison of various approaches to solving coupled thermal analysis problems on unstructured meshes”, Comput. Math. Math. Phys., 53:4 (2013), 503–519  mathnet  crossref  crossref  mathscinet  isi  elib
    4. K. N. Volkov, “Modelirovanie sopryazhennogo teploobmena na nestrukturirovannykh setkakh”, Zh. vychisl. matem. i matem. fiz., 53:3 (2013), 396–416  mathnet  crossref  zmath  elib
    5. K. N. Volkov, “Formulation of wall boundary conditions in turbulent flow computations on unstructured meshes”, Comput. Math. Math. Phys., 54:2 (2014), 353–367  mathnet  crossref  crossref  isi  elib
    6. K. N. Volkov, A. G. Karpenko, “Preconditioning of gas dynamics equations in compressible gas flow computations at low mach numbers”, Comput. Math. Math. Phys., 55:6 (2015), 1051–1067  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    7. K. N. Volkov, V. N. Emel'yanov, A. G. Karpenko, “Preconditioning of Navier–Stokes equations in the computation of free convective flows”, Comput. Math. Math. Phys., 55:12 (2015), 2080–2093  mathnet  crossref  crossref  mathscinet  isi  elib
    8. K. N. Volkov, V. N. Emel'yanov, I. V. Teterina, “Geometric and algebraic multigrid techniques for fluid dynamics problems on unstructured grids”, Comput. Math. Math. Phys., 56:2 (2016), 286–302  mathnet  crossref  crossref  isi  elib
    9. Emelyanov V.N., Teterina I.V., Volkov K.N., Garkushev A.U., “Pressure Oscillations and Instability of Working Processes in the Combustion Chambers of Solid Rocket Motors”, Acta Astronaut., 135 (2017), 161–171  crossref  isi  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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