Summary
The work deals with the numerical solution of the system of Euler equations for the case of 2D steady transonic flows in a channel or through a cascade and 3D steady transonic flows in a channel.
The 2D weak solution of the problem is computed by the conservative finite volume formulation of the explicit MacCormack difference scheme with a nonlinear artificial dissipative term of second order and a linear dissipative term of fourth order. The steady solution is obtained by a time dependent method by integrating t to infinity and using appropriate steady boundary and periodical conditions.
The explicit MacCormack difference scheme in conservation form is used for computing the numerical solution of 3D transonic flows in a channel.
The presented 2D numerical results are compared with numerical results of Ron-Ho-Ni in the case of channel flows for M ∞ < 1 and with interferometric measurements of the Institute of Thermomechanics of Czechoslovak Academy of Sciences in the case of transonic flows through 8% DCA cascade for upstream Machnumbers M ∞ < 1 as well as M ∞ > 1.
The presented 3D numerical results of transonic flows in a channel are compared to numerical results computed by 1D theory and 2D theory.
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© 1989 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Kozel, K., Vavřincová, M., Van Nhac, N. (1989). Numerical Solution of the Euler Equations Used for Simulation of 2D and 3D Steady Transonic Flows. In: Ballmann, J., Jeltsch, R. (eds) Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications. Notes on Numerical Fluid Mechanics, vol 24. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87869-4_34
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DOI: https://doi.org/10.1007/978-3-322-87869-4_34
Publisher Name: Vieweg+Teubner Verlag
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Online ISBN: 978-3-322-87869-4
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