Download Analysis of Laminar Flow over a Backward Facing Step: A GAMM by O. Pironneau (auth.), Ken Morgan, Jacques Periaux, François PDF

By O. Pironneau (auth.), Ken Morgan, Jacques Periaux, François Thomasset (eds.)

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L). The main parts are a head tank of the overflow type with adjustable height, a tranquillizing chamber, a convergent, the test channel immersed in a tank (30 x 60 x 100 em), a weir fixing the outflow level, a downstream reservoir, pipe an pump to convey the return flow. The flow discharge is controlled by a valve and the height of the head tank where a screw provides for very fine adjusment. The total length of othe test channel being fixed by the size of the tank (1 m) the channel height was determined to provide sufficient lengths upstream and downtream of the step, L /h and L2/H (h, H = channel heights before and after the step) to insure f~lly developped laminar flow before the step and before the channel exit.

In "Finite Element Flow Analysis" (T. ) Tokyo Univ. Press, July 1982. [23] 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. 4 (R. ), Wiley (1982).

Considering the accuracy, the maximum of deviation decreases one decade per 100 iterations. For the normal grid with constant subdivisions and a number of 21 x 81 points, which seems to be sufficient in largeness,the required accuracy of A~=fC-~ was reached within 120 seconds or 400 iterations. With a modified overrelaxation-method by taking an individual relaxationfactor for each nodal po~nt /6/, the results of other flow problems lead to a reduction of 50 % in the iteration-number and computation time.

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