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Šolín, Pavel ; Segeth, Karel
Non-uniqueness of almost unidirectional inviscid compressible flow. (English). Applications of Mathematics, vol. 49 (2004), issue 3, pp. 247-268
MSC: 35L65, 65H10, 76H05, 76M25, 76N10, 76N15 | MR 2059429 | Zbl 1099.76053
Keywords:
non-uniqueness; inviscid gas flow; compressible Euler equations; quasi-one-dimensional; axisymmetric; finite volume method
Summary:

References:
[1] M.  Feistauer: Mathematical Methods in Fluid Dynamics. Longman Scientific & Technical, Harlow, 1993. Zbl 0819.76001
[2] J.  Felcman, P.  Šolín: On the construction of the Osher-Solomon scheme for 3D  Euler equations. East-West J.  Numer. Math. 6 (1998), 43–64. MR 1629850
[3] C. Hirsch: Numerical Computation of Internal and External Flows, Vol.  2. J.  Wiley & Sons, Chichester, 1990.
[4] D. D.  Knight: Inviscid Compressible Flow. The Handbook of Fluid Dynamics. CRC, 1998.
[5] L. D.  Landau, E. M.  Lifschitz: Fluid Mechanics. Pergamon Press, London, 1959.
[6] H. Ockendon, A. B.  Tayler: Inviscid Fluid Flow. Springer-Verlag, New York-Heidelberg-Berlin, 1983. MR 0693294
[7] H.  Ockendon, J. R.  Ockendon: The Fanno Model for Turbulent Compressible Flow. Preprint, OCIAM. Mathematical Institute, Oxford University, Oxford, 2001. MR 1875697
[8] S.  Osher, F. Solomon: Upwind difference schemes for hyperbolic systems of conservation laws. Math. Comp. 38 (1982), 339–374. MR 0645656
[9] A.  H.  Shapiro: The Dynamics and Thermodynamics of Compressible Fluid Flow, Vol. 1. The Ronald Press Co., New York, 1953.
[10] J. L.  Steger, R. F.  Warming: Flux vector splitting of the inviscid gasdynamics equations with applications to finite-difference methods. J. Comput. Phys. 40 (1981), 263–293. MR 0617098
[11] A.  Terenzi, N.  Mancini, F.  Podenzani: Transient Compressible Flow in Pipelines: a Godunov-type Solver for Navier-Stokes Equations. Preprint, 2000.
[12] E.  Truckenbrodt: Fluidmechanik, Band  2. Springer-Verlag, Berlin-Heidelberg-New York, 1980. Zbl 0445.76001
[13] G. Vijayasundaram: Transonic flow simulation using upstream centered scheme of Godunov type in finite elements. J.  Comput. Phys. 63 (1986), 416–433. MR 0835825
[14] A. J.  Ward-Smith: Internal Fluid Flow, The Fluid Dynamics of Flow in Pipes and Ducts. Clarendon Press, Oxford, 1980.
[15] P.  Wesseling: Principles of Computational Fluid Dynamics. Springer-Verlag, Berlin, 2000. MR 1796357 | Zbl 0960.76002
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