Accession Number:

AD0676671

Title:

APPLICATION OF THE METHOD OF PARAMETRIC DIFFERENTIATION TO RADIATION GASDYNAMICS.

Descriptive Note:

Technical rept.,

Corporate Author:

MASSACHUSETTS INST OF TECH CAMBRIDGE AEROPHYSICS LAB

Personal Author(s):

Report Date:

1968-07-01

Pagination or Media Count:

298.0

Abstract:

It is shown that the method of parametric differentiation, used in solving nonlinear systems of equations, can be interpreted as a device for introducing a real parameter characteristic into the mathematical description of the problem along which one can integrate the parametrically differentiated system of equations. In this way, the method of parametric differentiation yields a characteristic initial value problem where the necessary data along distinct families of characteristics are the parametrically differentiated boundary conditions of the original problem and a solution of the original system for a particular value of the descriptive parameter. The applicability of the method of parametric differentiation to problems in radiation gasdynamics is first indicated by the solution of a simple test problem - the one-dimensional, hypersonic, radiating shock layer. Treating the total optical depth of the shock layer as the descriptive parameter, solutions were obtained for a large range of values of this parameter which appeared to be consistent with existing approximate solutions. The utility of this technique in radiation gasdynamics is further demonstrated in a solution of the problem of an inviscid, radiating gas flow in the stagnation region of a blunt body. Author

Subject Categories:

  • Numerical Mathematics
  • Guided Missiles
  • Fluid Mechanics
  • Thermodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE