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For unipolar hydrodynamic model of semiconductor device represented by Euler-Poisson equations, when the doping profile is supersonic, the existence of steady transonic shock solutions and C^\infty-sm...
Non-unique numerical solutions of transonic flows over airfoils have been found, first for potential flow equation, and later for Euler and RANS equations. The studies have also been...
Non-unique numerical solutions of transonic flows have been found, first for potential flow equation, and later for Euler and RANS equations. The studies conducted so far have been m...
Non-unique solutions of the Euler equations were originally discussed by Jameson in 1991 (“Airfoil Admitting Non-Unique Solutions to the Euler Equations,” AIAA Paper 1991-1625, June 1991) for several ...
This article traces the evolution of long range jet transport aircraft over the 50 years since Kuechemann founded the journal Progress in Aerospace Sciences. The article is particularly focused on tra...
The current generation of wing designs for civilian air transport typically have a swept wing. However, these wings were designed without the aid of modern high-fidelity simulation and multidisc...
During the past decade gas-kinetic methods based on the BGK simplification of the Boltzmann equation have been employed to compute fluid flow in a finite-difference or &#...
With the availability of high performance computing platforms and robust numerical methods to simulate fluid flows, it is possible to shift attention to automated design procedures which u...
In this study the limits of shock-free transonic airfoil design are explored via computa tional uid dynamics and shape optimization. Using an inviscid ow solver coupled with the adjoint method for sha...
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. Th...
While aerodynamic prediction methods based CFD are now well estab lished, and quite accurate and robust, the ultimate need in the design process is to find the optimum shape which maximizes the ...
The theory of non-oscillatory scalar schemes is developed in this paper in terms of the local extremum diminishing (LED) principle that maxima should not increase and minima should not decrease.
This paper discusses the use of control theory for optimum design of aerodynamic configurations. Examples are presented of the application of this msethod to the reduction of shock induced press...
This note on Paul Garabedian's work on transonic airfoil and wing design is written from the perspective of aeronautical engineering as well as applied mathematics. Paul's contributions in this area...
Firstly, this paper presents a new expression which changes the isentropic flow equation into Cauchy-Riemann quation, and the exact solution of subsonic flow around an arbitrary two dimensional body i...

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