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- Antony Jameson
- J. Sci. Comput.
- 1988

This paper addresses the question of how to modify in aerodynamic design to improve the performance. Representative examples are given to demonstrate the computational feasibility of using control theory for such a purpose. An introduction and historical survey is included.

- Antony Jameson
- 1995

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 principle can be used for multi-dimensional problems on both structured and unstructured meshes, while it is equivalent to the total variation diminishing… (More)

- ANTONY JAMESON
- 1974

- A. Jameson
- 1998

This paper describes the formulation of optimization techniques based on control theory for aerodynamic shape design in viscous compressible flow, modelled by the Navier-Stokes equations. It extends previous work on optimization for inviscid flow. The theory is applied to a system defined by the partial differential equations of the flow, with the boundary… (More)

- Antony Jameson
- 1983

- J. Reuther, A. Jameson, J. J. Alonso, M. J. Rimlinger
- 2001

An aerodynamic shape optimization method that treats the design of complex aircraft configurations subject to high fidelity CFD, geometric constraints and multiple design points is described. The design process will be greatly accelerated through the use of both control theory and distributed memory computer architectures. Control theory is employed to… (More)

- Antony Jameson
- 1995

The effect of artificial diffusion on discrete shock structures is examined for a family of schemes which includes scalar diffusion, convective upwind and split pressure (CUSP) schemes, and upwind schemes with characteristic splitting. The analysis leads to conditions on the diffusive flux such that stationary discrete shocks can contain a single interior… (More)

New versions of implicit algorithms are proposed for the efficient solution of the Euler equations of com-pressible flow. The methods are based on a pre-conditioned, Lower-Upper (LU) implementation of a nonlinear, Symmetric Gauss-Seidel (SGS) algorithm for use as a smoothing algorithm in a multi-grid method. The methods have been implemented for flows in… (More)

- ANTONY JAMESON
- 1995

SUMMARY A unified theory of non-oscillatory finite volume schemes for both structured and unstructured meshes is developed in two parts. In the first part, a theory of local extremum diminishing (LED) and essentially local extremum diminishing (ELED) schemes is developed for scalar conservation laws. This leads to symmetric and upstream limited positive… (More)

- A. Jameson, E. Turkel
- 1981

Implicit methods for hyperbolic equations are analyzed using LU de-compositions. It is shown that the inversion of the resulting tridiagonal matrices is usually stable even when diagonal dominance is lost. Furthermore, these decompositions can be used to construct stable algorithms in multi-dimensions. When marching to a steady state, the solution is… (More)