Aims. We present the basic equations and sample solutions for the steady-state global transonic solutions of the advection-dominated accretion flows (ADAFs) with causal viscosity prescription. The procedures of the stable numerical calculations and all explicit formula to obtain the solutions of ADAFs are also presented. Methods. We solve the transonic solutions of ADAFs by using the explicit n...

Abstract Evolutionary Algorithms (EAs) based on structured coding have been proposed for aerodynamic optimization of wing design. Fractional factorial design is used to investigate interactions of the design variables to determine the appropriate coding structure for EAs in advance. The present EAs is applied to wing design problems where the wing shape is modeled using the parameter set for th...

In our previous work, we have established the existence of transonic characteristic discontinuities separating supersonic flows from a static gas in two-dimensional steady compressible Euler flows under a perturbation with small total variation of the incoming supersonic flow over a solid right-wedge. It is a free boundary problem in Eulerian coordinates and, across the free boundary (character...

A procedure is developed to generate a large aerodynamic database suitable for the static stability analysis of launch vehicles in the transonic regime by using the Navier–Stokes equations. Effects of structural deformations are also included using modal representation. It is shown that a large number of cases suitable for design can be computed within practical time limitations by using effici...