Summary
We examine the way in which the system of two equations for two unknown functions of two variables which occurs in transonic aerodynamics may be derived asymptotically for systems of conservation laws. Some already known applications are resumed in a unified way.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Von Kârmân, T. The similarity law for transonic flow. Jal Math.Phys. 26 (1947) 182–190.
Guiraud, J.-P. Acoustique géométrique, bruit balistique des avions supersoniques et focalisation. Jal. de Mécanique 4 (1965) 215–267.
Obermeier, F. Some comments on sonic boom focussing. Z.A.M.M. 58 (1975) T295–T297.
Eremenko, V.A. On the structure of the velocity field in the vicinity of a caustic. P.M.M. 41 (1977) 1147–1151.
Seebass, R., Murman, E. and Krupp, J.A. Finite difference calculation of a discontinuous signal at a caustic. Third conference on sonic boom research; NASA SP 255.
Pechuzal, G. and , J. Supersonic-transonic flow generated by a thin airfoil in a stratified atmosphere. SIAM Jal. Appl. Math. 38 (1977) 8–33.
Fung, Y. Shock wave formation at a caustic. SIAM Jal. Appl. Math. 39 (1980) 335–371.
Cramer, M.S. The focussing of weak shock waves at an axisymmetric arête; J.F.M. 110 (1981) 249–253.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Guiraud, JP. (1989). Transonic Degeneracy in Systems of Conservation Laws. In: Zierep, J., Oertel, H. (eds) Symposium Transsonicum III. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83584-1_14
Download citation
DOI: https://doi.org/10.1007/978-3-642-83584-1_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-83586-5
Online ISBN: 978-3-642-83584-1
eBook Packages: Springer Book Archive