This paper proposed a fast method to perform the static aeroelastic analysis of the wing in transonic flow
. The developed model is aimed at replacing the CFD solver and can calculate the generalized force coefficients and aerodynamic force coefficients at different Mach numbers and different angles of attack.
In this section, we discuss the nondifferentiable numerical solutions for the local fractional Tricomi equation arising in fractal transonic flow with the local fractional derivative boundary value conditions.
Manwell, "The Tricomi equation with applications to the theory of plane transonic flow," Recon Technical Report A 27617, 1979.
The initial-boundary value problems for local fractional Tricomi equation arising in fractal transonic flow based upon the local fractional derivatives are discussed.
Germain, "Remarks on the theory of partial differential equations of mixed type and applications to the study of transonic flow," Communications on Pure and Applied Mathematics, vol.
It was thus possible to compare the dynamic aeroelastic behaviour of the two wings with different planforms under fully transonic flow conditions.
Even if all of these cited works refer to three-dimensional configurations, these studies on transonic flow instabilities concern rigid models: in other words the elasticity effects of the wing box structure are not considered assuming that the buffet phenomenon does not depend on elastic deformations of the lifting surfaces.
Kuzmin, "Sensitivity analysis of transonic flow over J-78 wings," International Journal of Aerospace Engineering, vol.
Jiang, "The interaction between flutter and buffet in transonic flow," Nonlinear Dynamics, vol.
Note that for the case of purely subsonic flows, the formulation (3.3) leads to a symmetric, weakly diagonally dominant, tridiagonal Jacobian matrix, while for the case of transonic flows
the associate Jacobian is nonsymmetric due to the derivative of the upwinding density coefficient [[??].sub.i[+ or -]1/2] corresponding to the supersonic region.
In subsonic and transonic flows
, a single transitional flow type is defined rather than transitional-open and transitional-closed as in supersonic flows.