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 WRIGHT-PATTERSON 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 three-dimensional supersonic flows or unsteady two-dimensional 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 three-dimensional 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 single-parameter 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 two-dimensional scheme, the order of difference approximations is reduced to the first order in the purely three-dimensional 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