Adaptive mesh refinement is one of the most important tools in Computational Fluid Dynamics (CFD) for solving complex engineering design problems. The paper investigates two practical transonic aerofoil design optimization problems using a genetic algorithm coupled with an Euler aerodynamic analysis tool. The first problem consists in the minimization of transonic drag whereas the second is a r...

The history of computational fluid dynamics (CFD), especially as driven by the requirements of transonic flow prediction, has been largely coincident with the history of these Symposia. The first Symposium Transsonicum [48], held in Aachen in 1962, was held in the early days of commercial jet aviation at a time of intense interest in the transonic drag rise phenomenon. That first symposium undo...

Edge poloidal flows exceeding the poloidal sound speed lead to the formation of a pedestal structure [GUAZZOTTO, L. and BETTI, R., Phys. Rev. Lett. 107 (2011) 125002]. This result is based on the existence of “transonic” equilibria, in which the edge region of the plasma flows supersonically with respect to the poloidal sound speed (i.e., the sound speed reduced by a factor Bθ/B), while the pla...

In this talk, we consider the well-posedness, ill-posedness and the regularity of stationary solutions to the hydrodynamic model of semiconductors represented by Euler-Poisson equations with sonic boundary, and make a classification on these solutions. When the doping profile is subsonic, we prove that, the corresponding steady-state equations with sonic boundary possess a unique interior subso...

13. The introduction of a second new hypothetical gas. In the foregoing sections, we have investigated some transonic fields of flow by employing a hypothetical gas which closely approximates the real gas during an isentropic flow in the transonic range. Although such a hypothetical gas has a merit that the fundamental equation governing its flow assumes a rather simple form and can be solved e...

The stationary hydrodynamic equations for the transonic accretion disks and flows around rotating black holes are presented by using the Kerr-Schild coordinate where there is no coordinate singularity at the event horizon. We use two types of the causal viscosity prescription, and the boundary conditions for the transonic accretion flows are given at the sonic point. For one type of the causal ...

The paper presents a detailed theory of the finite element approximations of two-dimensional transonic potential flow. We consider the boundary value problem for the full potential equation in a general bounded domain fi with mixed Dirichlet-Neumann boundary conditions. In the discretization of the problem we proceed as usual in practice: the domain Q is approximated by a polygonal domain, conf...

We derive a new set of equations to give successive positions of slowly moving and slowly turning curved shock front in a transonic flow. The equations are in conservation form two of these are kinematical conservation laws. keywords Curved shock propagation, shock dynamics, ray theory, transonic flow.

Numerical simulations are presented in order to test airfoil optimization criteria from the aeroelastic point of view. Based on an Evolution Strategy, airfoil-shape point optimization has been performed as a lift constrained drag minimization at a given Mach/Reynolds number combination for transonic flow. Additional to the drag minimization, the propagation time of pressure disturbances from th...

The NASA Common Research Model (CRM) was developed as an open-source contemporary transonic supercritical wing for various studies in aerodynamics (Vassberg et al. (2008)). Extensive detailed aerodynamic performance data have been generated since 2008, and collection of such data is still under way. These data serve as a good basis for CFD studies generally and, in particular, for the research ...