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...

This paper presents a review of developments in aerodynamics during the last 50 years. Progress in aerodynamic design, theoretical aerodynamics, wind tunnel testing, and especially computational fluid dynamics (CFD) is discussed. Where appropriate, applications to aircraft design are presented, as are new aircraft concepts. Topics of Canadian interest are presented and the paper includes severa...

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...

Wind-tunnel experiment plays a critical role in the design and development phases of modern aircraft, which is always limited by prohibitive cost. In contrast, numerical simulation, as an important alternative research paradigm, mimics complex flow behaviors but less accurate compared to experiments. This leads recent emerging interest applying data fusion for aerodynamic prediction. particular...

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...

wave and two counter-rotating vortices Shuhai Zhang, Shufen Jiang, Yong-Tao Zhang, and Chi-Wang Shu State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang, Sichuan 621000, China China Aerodynamics Research and Development Center, Mianyang, Sichuan 621000, China Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556, USA Divisio...

Computational fluid dynamic (CFD) methods are usually classified as two distinct families of schemes---pressure-based and density-based methods. Specifically, pressure-based methods, which form the basis of most commercial CFD codes, are well-suited for incompressible and low Mach number flows, while density-based methods have typically dominated transonic and supersonic flowfields encountered ...