ISSN:
0271-2091
Keywords:
CFD
;
Potential transonic flow
;
Streamwise co-ordinates
;
Shock point operator
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
In this paper a new approach to calculate transonic flows is developed. A set of full-potential-equivalent equations in the von Mises co-ordinate system is formulated under the irrotationality and isentropic assumptions. The emphasis is placed on supercritical flow, in which the treatment of embedded shock waves is crucial to get convergent solutions. Shock jump conditions are employed and shock point operators (SPOs) are constructed in the body-fitting streamline co-ordinate system. SPOs and a type-dependent difference scheme are applied to solve the ‘main’ equation for the ‘main’ variable, the streamline ordinate y. A number of ‘secondary’ equations are deduced for the corresponding ‘secondary’ variables. An optimal combination for the ‘secondary’ variable, its equation and related difference scheme is selected to be the generalized density R, its linear equation and the Crank-Nicolson scheme. Numerical results show that the present approach gives good agreement with experimental data and other computational work for NACA0012 and biconvex aerofoils in both subcritical and supercritical ranges.
Additional Material:
19 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/fld.1650150806
