Accession Number:

AD0679535

Title:

METHOD OF CHARACTERISTICS FOR NUMERICAL CALCULATION OF SPATIAL FLOWS OF GAS (Metod Kharakteristik Dlya Chislennogo Rascheta Prostranstvennyk Techenii Gaza),

Descriptive Note:

Corporate Author:

FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s):

Report Date:

1967-05-08

Pagination or Media Count:

26.0

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

Subject Categories:

  • Aerodynamics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE