
Accession Number : AD0679535
Title : METHOD OF CHARACTERISTICS FOR NUMERICAL CALCULATION OF SPATIAL FLOWS OF GAS (Metod Kharakteristik Dlya Chislennogo Rascheta Prostranstvennyk Techenii Gaza),
Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHTPATTERSON AFB OHIO
Personal Author(s) : Magomedov,K. M.
Report Date : 08 MAY 1967
Pagination or Media Count : 26
Abstract : A number of methods of characteristics for numerical calculation of threedimensional supersonic flows or unsteady twodimensional problems of gas dynamics are evaluated and their complexity stressed. A new approach is outlined by which relative simplicity and uniformity are attained. The equations of a steady threedimensional supersonic flow are transformed to an equivalent characteristic form which is not the only possible one. Therefore, a general form of characteristic correlations (compatibility conditions) is considered along a singleparameter family of bicharacteristics passing through a given point. It is demonstrated that an equation describing supersonic steady flow can be reduced by equivalent transformations to a system containing variables only along streamlines and bicharacteristic directions at a given point. It is also established that in contrast to a corresponding twodimensional scheme, the order of difference approximations is reduced to the first order in the purely threedimensional case. Difference equations are derived, and the parameters of the desired point are obtained from two correlations along streamlines and two along bicharacteristics. Four elementary problems are considered: determination of points inside the flow, on the surface of the body, on a shock wave, and on a free surface. (Author)
Descriptors : (*SUPERSONIC FLOW, NUMERICAL ANALYSIS), SUPERSONIC CHARACTERISTICS, THREE DIMENSIONAL FLOW, TWO DIMENSIONAL FLOW, EQUATIONS OF MOTION, SHOCK WAVES, DIFFERENCE EQUATIONS, USSR
Subject Categories : Aerodynamics
Fluid Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE