Abstract
The unsteady Euler equations are solved with an explicit conservative finite volume scheme of second order of accuracy. This scheme is obtained from a first order Godunov type scheme by adding appropriate corrective terms. The conservative variables are computed at the nodes of a finite difference grid using control volumes defined by the centers of the grid cells.
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References
M. Borrel; J-L. Montagne: “Numerical study of a non-centered scheme with application to aerodynamics”. AIAA-85–1497-CP. Cincinnati, July, 15–17, 1985.
B. van Leer: “Flux-vector splitting for the Euler equations”. Lecture notes in Physics, Vol. 170, 1982, pp.507–512.
J-P. Veuillot; H. Viviand: “Methodes pseudo-instationnaires pour le calcul d’ecoulements transsoniques”. ONERA Publication, n° 1978–4, (English translation, ESA-TT-561).
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© 1989 Friedr Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Borrel, M., Montagne, JL. (1989). Upwind Second-Order Unsteady Scheme. In: Dervieux, A., Leer, B.V., Periaux, J., Rizzi, A. (eds) Numerical Simulation of Compressible Euler Flows. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 26. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87875-5_5
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DOI: https://doi.org/10.1007/978-3-322-87875-5_5
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-528-07626-9
Online ISBN: 978-3-322-87875-5
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