Author: Helmut E. Sobieczky Publisher: ISBN: Category : Languages : en Pages : 18
Book Description
By means of a Beltrami transformation of the coordinates to new variable, the system of the gas-dynamic equation and the equation for irrotation becomes a Cauchy-Riemann system. Solutions of the Cauchy-Riemann system for the velocity functions as well as of the Beltrami system for the coordinates are given and can be superimposed due to the linearity of the systems. Thus, a number of so far known transonic flows and a number of new ones can be represented in a simple manner.
Author: Boris Leonidovich Rozhdestvenskii Publisher: ISBN: Category : Languages : en Pages : 668
Book Description
Mathematical methods of investigating one-dimensional problems in gas dynamics are presented. Systems of quasilinear equations and principal problems for hyperbolic systems are studied in detail. Equations of gas dynamics are derived and investigated; analytic solutions of gas dynamics are presented; discontinuous flows containing shock waves are studied. The fundamentals of the theory of difference schemes are set forth and a variety of numerical solution methods for gas dynamics problems employed in practical calculations are set forth. A theory of the generalized solution is outlined for systems of quasilinear equations of the hyperbolic type. The monograph contains the results of recent work on these problem areas. (Author).
Author: Helmut E. Sobieczky
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Author: Bernardo Cockburn
Author: Robert Sauer
Author: Boris Leonidovich Rozhdestvenskii