This article presents the latest developments of an algebraic multigrid (AMG) based on full potential equation (FPE) solver for transonic flow problems with emphasis on advanced applications. The mathematical difficulties of the problem are associated with the fact that the governing equation changes its type from elliptic (subsonic flow) to hyperbolic (supersonic flow). The flow solver is capa...

High-performance airfoils for transonic flows of Bethe–Zel’dovich–Thompson fluids are constructed using a robust and efficient Euler flow solver coupled with a multi-objective genetic algorithm. Bethe–Zel’dovich– Thompson fluids are characterized by negative values of the fundamental derivative of gasdynamics for a range of temperatures and pressures in the vapor phase, which leads to nonclassi...

This invited paper presents efficient solutions of the Euler and Navier-Stokes equations based on finite difference and finite volume formulations. They were obtained with several methods recently developed for the efficient analysis of steady and unsteady external flows. (i) A biased-flux method based on an explicit finite volume formulation is first presented for the solution of the Euler equ...

Steady (RANS) and unsteady (URANS) numerical simulations of three-dimensional transonic flow in a high-pressure turbine have been conducted. The results are compared by evaluating differences in contours of total pressure loss, contours of static pressure and wakes. Significant differences have been observed in these parameters, both qualitative and quantitative, which demonstrate that URANS si...

A vanishing viscosity method is formulated for two-dimensional transonic steady irrotational compressible fluid flows with adiabatic constant γ ∈ [1, 3). This formulation allows a family of invariant regions in the phase plane for the corresponding viscous problem, which implies an upper bound uniformly away from cavitation for the viscous approximate velocity fields. Mathematical entropy pairs...

A review of recent and historical work in the field of transonic and supersonic ground effect aerodynamics has been conducted, focussing on applied research on wings and aircraft, present and future ground transportation, projectiles, rocket sleds and other related bodies which travel in close ground proximity in the compressible regime. Methods for ground testing are described and evaluated, n...

Optimization has long been considered as a means to solve the aerodynamic design problem in a formal and general manner. Early work by Hicks, Murman, and Vanderplaats [1, 2] investigated this possibility for transonic airfoil flows, with the results being encouraging but showing some rather unexpected results and difficulties. These early efforts were characterized by relatively few design para...

In this contribution, three methodologies based on temperature-sensitive paint (TSP) data were further developed and applied for the optical determination of critical locations flow separation reattachment in compressible, high Reynolds number flows. The rely skin-friction extraction approaches low-speed flows, which adapted work to study presence shock-wave/boundary-layer interaction. a first ...