Ein Charakteristikenverfahren für dreidimensionale instationäre Gasströmungen

Bruhn, Gerhard; Haack, Wolfgang

doi:10.1007/bf02424744

Cited by 17 publications

(7 citation statements)

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“…The enthalpy of the J th species used in Equation (20) and the other species thermodynamic quantities are generally calculated from a single harmonic oscillator approximation to the diatomic molecules or from curve fits as functions of temperature. Here, the caloric equation of state of the c th species is given as o where J' includes the energy of rotation and translation, h t the neat of formation and 6 t the energy of vibration.…”

Section: T -+U-+v -+ W --+ --£-= Omentioning

confidence: 99%

The Method of Characteristics for Three-Dimensional Real -Gas Flows Including the Digital Computer Program Details and Operating Procedures for Frozen Flows

Strom¹

1967

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Section: T -+U-+v -+ W --+ --£-= Omentioning

confidence: 99%

The Method of Characteristics for Three-Dimensional Real -Gas Flows Including the Digital Computer Program Details and Operating Procedures for Frozen Flows

Strom¹

1967

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“…3) Optimal methods of type 2) (BRUHN and HAACK (1958), SCHAETZ (1961)). 4) Methods based on characteristic lines not in the bicharacteristic direction (ALBRECHT and URICH (1961).…”

Section: Introductionmentioning

confidence: 99%

“…The Method of Characteristics for Three-Dimensional Problems in Gas Dynamics of this type was proposed by BRUHN and HAACK (1958). A local coordinate system is again based on two bicharacteristic directions.…”

Section: Introductionmentioning

confidence: 99%

Numerical Methods in Fluid Dynamics

Holt

1984

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“…3) Optimal methods of type 2) (BRUHN and HAACK (1958), SCHAETZ (1961»). 4) Methods based on characteristic lines not in the bicharacteristic direction (ALBRECHT and URICH (1 % 1).…”

Section: Introductionmentioning

confidence: 99%

“…The first method of this type was proposed by BRUHN and HAACK (1958). A local coordinate system is again based on two bicharacteristic directions.…”

Section: Introductionmentioning

confidence: 99%

Numerical Methods in Fluid Dynamics

Holt¹

1977

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Library of Congress Cataloging in Publication Data Holt, Maurice. Numerical methods in fluid dynamics. (Springer series in computational physics) Bibliography: p. Includes index. 1. Fluid dynamics. I. Title. TA357.H63 532'.05'1515 76-43304This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of fee to be determined by agreement with the publisher. © by Springer-Verlag Berlin Heidelberg 1977 Softcover rprint of the hardcover 1st edition 1977The use of registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.Offset pr{nting and bookbinding: Zechnersche Buchdruckerei, Speyer 2153. 3130 543210 PrefaceThis monograph is based on a graduate course, Mechanical Engipeering 266, which was developed over a number of years at the University of California-Berkeley. Shorter versions of the course were given at the University of Paris VI in 1969, and at the University of Paris XI in 1972. The course was originally presented as the last of a three quarter sequence on Compressible Flow Theory, with emphasis on the treatment of non-linear problems by numerical techniques. This is reflected in the material of the first half of the book, covering several techniques for handling non-linear wave interaction and other problems in Gas Dynamics. The techniques have their origins in the Method of Characteristics (in both two and three dimensions). Besides reviewing the method itself the more recent techniques derived from it, firstly by Godunov and his group, and secondly by Rusanov and his co-workers, are described. Both these approaches are applicable to steady flows calculated as asymptotic states of unsteady flows and treat elliptic problems as limiting forms of unsteady hyperbolic problems. They are therefore applicable to low speed as well a~ to high speed flow problems.The second half of the book covers the treatment of a variety of steady flow problems, including effects of both viscosity and compressibility, by the Method of Integral Relations, Telenin's Method, and the Method of Lines. The objective of all these methods is to eliminate finite difference calculations in one or more coordinate directions by using interpolation formulae, especially polynomials, to represent the unknowns in selected directions. These methods were used originally to solve flow problems connected with re-entry aerodynamics but have subsequently been applied over the whole speed range. They are, in principle, applicable to a broad range of problems governed by elliptic, mixed elliptic-hyperbolic, and parabolic partial differen...

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Ein Charakteristikenverfahren für dreidimensionale instationäre Gasströmungen

Cited by 17 publications

References 9 publications

The Method of Characteristics for Three-Dimensional Real -Gas Flows Including the Digital Computer Program Details and Operating Procedures for Frozen Flows

The Method of Characteristics for Three-Dimensional Real -Gas Flows Including the Digital Computer Program Details and Operating Procedures for Frozen Flows

Numerical Methods in Fluid Dynamics

Numerical Methods in Fluid Dynamics

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