Summary
The accuracy of a 2-D and a 3-D inverse method of characteristics is determined by a comparison of numerical with analytical solutions. The order of convergence of the methods is numerically exemplified. The accuracy of the boundary algorithm is determined separately and compared with the accuracy of the field calculation. The loss in accuracy due to an insufficient representation of the analytical domain of dependence is determined, especially for the 3-D method. The accuracy of the 3-D field calculations is analysed particularly for large domains of integration.
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References
Frühauf, H.H.: Ein Charakteristikenverfahren für die dreidimensionale stationäre Überschallströmung in rotierenden und feststehenden Ringgittern. DLR-FB 73–12 (1973) or ESRO TT-44 (1975) (English translation).
Hartree, D.R.: Some practical methods of using characteristics in the calculation of non-steady compressible flow. U.S.Atomic Energy Comm.Rep. No. AECU-2713 (1953)
Sauer, R.: Differenzenverfahren für hyperbolische Anfangswertprobleme bei mehr als zwei unabhängigen Veränderlichen mit Hilfe der Nebencharakteristiken. Num. Math. 5 (1963), pp. 55–67.
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© 1978 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Frühauf, H.H. (1978). Accuracy of an Inverse Method of Characteristics for Multidimensional Steady Supersonic Flow. In: Förster, K. (eds) Boundary Algorithms for Multidimensional Inviscid Hyperbolic Flows. Notes on Numerical Fluid Mechanics, vol 1. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-85441-4_7
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DOI: https://doi.org/10.1007/978-3-322-85441-4_7
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-08075-4
Online ISBN: 978-3-322-85441-4
eBook Packages: Springer Book Archive