By O. Pironneau (auth.), Ken Morgan, Jacques Periaux, François Thomasset (eds.)
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Extra resources for Analysis of Laminar Flow over a Backward Facing Step: A GAMM Workshop
Kawahara : Two step explicit finite element method for high Reynolds number. In "Finite Element Flow Analysis" (T. ) Tokyo Univ. Press, July 1982.  P. Hood, c. Taylor : A numerical solution of the Navier-Stokes equations using FEM. Computers and Fluids 1, p. 73-100 (1973). J. Hughes : Simple finite element scheme for developing upwind finite elements. Int. J. Num. Meth. Eng. 12, p. 1359-1365 (1978). J. Hughes, A. Brooks : A theoretical framework for Petrov-Galerkin methods with discontinuous weighting functions in Finite Elements in fluids, Vol.
Thus, the exit-conditions as mentioned above are no longer exact and the reattachment-length deviates, as it can be seen from figure A9. With increasing length-scale, the number of nodal points in the recirculation-zone diminishes and the 55 reattachment point moves to the channel-step. Thus, the inaccuracy must grow with respect to the reattachment-length, as ~t is to be seen by the grow~ng deviation in figure A9. 5 ). An increase of accuracy with the refinement of the grid would be possible, whereas the dominant influence on the exactness lies in the handling of the point at the edge.
INSTRUMENTATION The velocities were measured with a laser-Doppler velocimeter operating in the fringe mode. In order to facilitate the measurements close to the wall necessary for the determination of the wall shear stress a beam expander giving a three fo 1d increase in beam diameter was inserted in the emission optics. 40° . un and its lenght about 900 ,urn. 3 mm from the wall. The Doppler signal was sensed with a photodiode and its period was determined with a counter i"thwhich the validation process is based period with the n preceedi ng ones on the comparison of the (n + 1) (where n is adjustab 1e and n ~ 14).
Analysis of Laminar Flow over a Backward Facing Step: A GAMM Workshop by O. Pironneau (auth.), Ken Morgan, Jacques Periaux, François Thomasset (eds.)