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Zh. Vychisl. Mat. Mat. Fiz., 1987, Volume 27, Number 11, Pages 1725–1735 (Mi zvmmf3741)  

This article is cited in 20 scientific papers (total in 20 papers)

S. K. Godunov's implicit high-accuracy scheme for the numerical integration of Euler's equation

M. Ya. Ivanov, R. Z. Nigmatullin


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English version:
USSR Computational Mathematics and Mathematical Physics, 1987, 27:6, 81–88

Bibliographic databases:

UDC: 519.6:533.7
MSC: Primary 76N15; Secondary 76M99
Received: 14.08.1986

Citation: M. Ya. Ivanov, R. Z. Nigmatullin, “S. K. Godunov's implicit high-accuracy scheme for the numerical integration of Euler's equation”, Zh. Vychisl. Mat. Mat. Fiz., 27:11 (1987), 1725–1735; U.S.S.R. Comput. Math. Math. Phys., 27:6 (1987), 81–88

Citation in format AMSBIB
\by M.~Ya.~Ivanov, R.~Z.~Nigmatullin
\paper S.\,K.~Godunov's implicit high-accuracy scheme for the numerical integration of Euler's equation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1987
\vol 27
\issue 11
\pages 1725--1735
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1987
\vol 27
\issue 6
\pages 81--88

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    This publication is cited in the following articles:
    1. V. E. Kozlov, “A method of increasing the stability of an implicit upwind scheme with three-point scalar pivotal condensations for Euler's equation”, U.S.S.R. Comput. Math. Math. Phys., 30:5 (1990), 232–234  mathnet  crossref  mathscinet  zmath
    2. P. M. Byval'tsev, M. Ya. Ivanov, “A fast method for calculating three-dimensional transonic potential flows in turbomachine blade passages”, Comput. Math. Math. Phys., 32:7 (1992), 977–994  mathnet  mathscinet  isi
    3. A. A. Charakhch'yan, “Calculation of the compression of deuterium in a conical target in the framework of the Navier–Stokes equations for two-temperature magnetohydrodynamics”, Comput. Math. Math. Phys., 33:5 (1993), 683–697  mathnet  mathscinet  zmath  isi
    4. A. A. Charakhch'yan, “On algorithms for computing the Riemann problem by means of Godunov's scheme”, Comput. Math. Math. Phys., 40:5 (2000), 746–760  mathnet  mathscinet  zmath  elib
    5. S. P. Kshevetskii, “Modeling of propagation of internal gravity waves in gases”, Comput. Math. Math. Phys., 41:2 (2001), 273–288  mathnet  mathscinet  zmath
    6. Titarev V.A., Shakhov E.M., “Numerical Calculation of the Hypersonic Rarefied Transverse Flow Past a Cold Flat Plate”, Fluid Dynamics, 40:5 (2005), 790–804  crossref  zmath  isi  elib
    7. Titarev V.A., Shakhov E.M., “Numerical Study of Unsteady Evaporation and Heat Transfer from a Spherical Surface”, Fluid Dynamics, 40:1 (2005), 159–168  crossref  zmath  isi  elib
    8. Titarev V.A., Shakhov E.M., “Numerical study of essentially unsteady evaporation”, Rarefied Gas Dynamics, AIP Conference Proceedings, 762, 2005, 479–484  crossref  isi
    9. V. A. Titarev, E. M. Shakhov, “Numerical analysis of the spiral Couette flow of a rarefied gas between coaxial cylinders”, Comput. Math. Math. Phys., 46:3 (2006), 505–513  mathnet  crossref  mathscinet  zmath  elib  elib
    10. V. A. Rykov, V. A. Titarev, E. M. Shakhov, “Numerical study of the transverse supersonic flow of a diatomic rarefied gas past a plate”, Comput. Math. Math. Phys., 47:1 (2007), 136–150  mathnet  crossref  mathscinet  zmath
    11. G. V. Belyakov, V. I. Gryn', A. A. Charakhch'yan, “Application of compound finite difference schemes for the calculation of time-dependent flows with narrow thermal layers”, Comput. Math. Math. Phys., 47:3 (2007), 463–471  mathnet  crossref  mathscinet  zmath
    12. Titarev V.A., “Conservative numerical methods for model kinetic equations”, Computers & Fluids, 36:9 (2007), 1446–1459  crossref  mathscinet  zmath  isi
    13. V. A. Titarev, E. M. Shakhov, “Development and tending to steady state of subsonic gas condensation on a plane condensed phase”, Comput. Math. Math. Phys., 49:6 (2009), 1054–1068  mathnet  crossref  zmath  isi
    14. Enikeev R.D., Chernousov A.A., “Model nestatsionarnogo techeniya s zakrutkoi dlya rascheta gazoobmena porshnevogo DVS”, Izv. vuzov. Aviatsionnaya tekhnika, 2009, no. 3, 12–16
    15. Shakhov E.M., Titarev V.A., “Numerical study of the generalized cylindrical Couette flow of rarefied gas”, Eur J Mech B Fluids, 28:1 (2009), 152–169  crossref  zmath  isi  elib
    16. Titarev V.A., “Implicit Unstructured-Mesh Method for Calculating Poiseuille Flows of Rarefied Gas”, Communications in Computational Physics, 8:2 (2010), 427–444  mathscinet  isi
    17. M. Ya. Ivanov, “Thermodynamically compatible conservation laws in the model of heat conducting radiating gas”, Comput. Math. Math. Phys., 51:1 (2011), 133–142  mathnet  crossref  mathscinet  isi  elib
    18. Titarev V.A., “Efficient Deterministic Modelling of Three-Dimensional Rarefied Gas Flows”, Commun. Comput. Phys., 12:1 (2012), 162–192  crossref  mathscinet  isi  elib
    19. Titarev V.A., “Implicit High-Order Method for Calculating Rarefied Gas Flow in a Planar Microchannel”, J. Comput. Phys., 231:1 (2012), 109–134  crossref  mathscinet  zmath  isi  elib
    20. Kazhan E.V., “Povyshenie ustoichivosti yavnoi skhemy godunova - kolgana - rodionova lokalnym vvedeniem neyavnogo sglazhivatelya”, Uchenye zapiski tsagi, 43:6 (2012), 66–84  elib
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