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

ISBN-10: 3528080833

ISBN-13: 9783528080839

ISBN-10: 3663142426

ISBN-13: 9783663142423

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**Extra info for Analysis of Laminar Flow over a Backward Facing Step: A GAMM Workshop**

**Example text**

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.

13] M. Fortin : Calcul numerique des ecoulements des fluides ... par la methode des elements finis. These Univ. Paris 6 (1972). [ 14] M. Fortin, F. Thomasset : Mixed finite elements methods for incompressib le flow problems. J. Camp. Physics 31 p. 113-145 (1979). [ 15] A. George An automatic nested dissection algorithm for irregular finite element problems. SIM-1 J. on Numer. Anal. 15, p. 1053-1069 (1978). [ 16] V. A. Raviart : Finite element approximatio n of the Navier-Stoke s equations. Lecture Notes in Math.

The streamlines are congruent with respect to equation (8) and the exponent is n = 1. 000 is expected. Similar effects can be seen from the so-called entrance-length of a plane channel flow with a laminar inflow of constant velocity in the entrance-width. The curve of the entrance-length with a developed velocity-profile of 90% is shown in figure 3 . The exponent is also n = 1. This seems to enforce the supposition as mentioned above. In real flows, the possibility of a laminar flow is limited by a certain Re-Number.

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

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