By Slooff J. W., Schmidt W., Organisation du Traité de l'Atlantique Nord, Advisory Group for Aerospace Research and Development

Slooff, Schmidt. (eds.) Computational aerodynamics in keeping with the Euler equations (AGARD document 325, 1994)(ISBN 9283610059)(1s)_MNs_

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**Extra info for Computational aerodynamics based on the Euler equations: = L'aérodynamique numérique à partir des équations d'Euler**

**Example text**

THOMAS, J. L. and SALAS, M. , “Far-Field Boundary Conditions for Transonic Lifting Solutions to the Euler Equations,” AIAA Journal, Vol. 24, No. 7, July 1986, pp. 1074-1 080. 19. MURMAN, E. M. and COLE, J. , “Calculation of Plane Steady Transonic Flow,” A l A A Journal, Vol. 9, Jan. 1971, pp. 114-121. 20. KLUNKER, E. , “Contribution to Methods for Calculating the Flow About Thin Lifting Wings at Transonic Speeds-Analytic Expressions for the Far-Field,” NASA TN D-6530. 197 I . 21. RIZZI, A. , “Numerical Implementation of Solid-Body Boundary Conditions for the Euler Equations,” ZAMM, Vol.

Connectivity rules are identical for all cells so that we can invoke a "stencil". In contrast, the unstructured grids consist of an arbitrary assembly of cells with only the possibility to index each one by a single integer and no regular pattern or relationship exists between cell and node numbering. The data structure management necessitates the definition and the storage of pointers and index tables. Besides the nodes previously described as vertices of the cells, it can be useful to consider other points in the grid where discrete dependent variables are defined.

1976. This page has been deliberately left blank. 1 DISCRETIZATION TECHNIQUES In order to describe the numerical methods currently used for solving the system of Euler equations, we have to begin with a brief presentation of the discretization techniques which allow to transform the continuous problem into a system of discrete equations to be solved on a computer. Three main steps can be considered. First, the space-time discretization concerning the independent variables (this is the mesh generation problem), then the choice of a discrete representation of the flow variables (approximation of dependent variables) and thirdly the derivation of a set of discrete equations linking the flow variables on the grid in space and time (definition of a numerical scheme).