Summary
This paper deals with a general three-dimensional characteristic method for the inviscid flow of ideal gases using some simple facts from the differential geometry of vector fields. The fundamentals of a general numerical method are deduced from the system of the characteristic equations. They are applied to a special case of two-dimensional flow.
Similar content being viewed by others
Literaturverzeichnis
R. Courant undD. Hilbert,Methoden der mathematischen Physik, Bd. 2 (Berlin 1937).
R. Courant undK. O. Friedrichs,Supersonic Flow and Shock Waves (New York 1948).
K. R. Dorfner,Dreidimensionale Überschallprobleme der Gasdynamik (Berlin 1957).
W. Haack undG. Hellwig,Über Systeme hyperbolischer Differentialgleichungen I und II, Math. Z.53, 244–266 und 340–356 (1950).
W. Haack,Vorlesungen über Strömungslehre 1953 (unveröffentlicht).
M. Lagally,Vektorrechnung (Leipzig 1945).
W. S. McCulley undE. W. Titt,Integration Formulae and Boundary Conditions for the Hyperbolic Equation with Three Independent Variables and Regions Interior to the Cone, J. rat. Mech. Anal.2, 423–442 (1953).
K. Oswatitsch,Gasdynamik (Wien 1952).
K. Oswatitsch,Über die Charakteristikenverfahren der Hydromechanik, Z. angew. Math. Mech.1947, Heft 7, 8, 9.
R. Sauer,Einführung in die theoretische Gasdynamik (Berlin 1951).
R. Sauer,Anfangswertprobleme bei partiellen Differentialgleichungen (Berlin 1952).
E. W. Titt, W. S. McCulley, Fletcher, W. Donaldson, Roger Osborn, L. G. Worthington undW. C. Long,Vector Algebras and Potentials, J. rat. Mech. Anal.2, 443–448 (1953).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bruhn, G., Haack, W. Ein Charakteristikenverfahren für dreidimensionale instationäre Gasströmungen. Journal of Applied Mathematics and Physics (ZAMP) 9, 173–190 (1958). https://doi.org/10.1007/BF02424744
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02424744