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

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

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Ferrie~ Pironneau : On the numerical solution of nonlinear problems in fluid dynamics by least squares and FEM. Comp. Meth. Appl. Mech. Eng. 17/18, 3, p. 619-657 (1979). 0. J. Chorin : Numerical solution of incompressib le flow problems. Studies in Numer. Anal. 2, p. 64-71 (1968 ). J. Chung Finite element analysis in fluid mechanics. Me Graw Hill (1978). [ 11] M. A. Raviart : Conforming and non-conformi ng finite element methods for solving the stationary Stokes equations. , R3, p. 33-76 (1973).

Much effort was spent also in domain decomposition to optimize the use of machines like IBM 3033 + AP120B (GLOWINSKI-PERIAUXDINH [ 19]) : one divides n into p subdomains n. and affect the ith AP120B to the Navier-Stokes equations in n7; the jumps of the velocities and their gradients on an. are ffiinimized by a conjugate gradient method. ~ Finally, all the modern developments of linear numerical algebra are relevant to the linear systems arising from the Navier-Stokes equation, so many of the tools have been tested such as nested dissections (GEORGES [15]), Multigrid (BRANDT [ 6]), preconditioning (MEIJERINK-VAN DER VORST [ 31]).

Lions : Problemes aux limites non lineaires, Dunod (1970). A. A. Van der Vorst : An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix Math. of Comp. 31, p. 14'8-162 (1977). [32] P. Moin, J. Kim : Numerical investigation of· turbulent channel flow. NASA Report 81309 (1981). C. Nedelec : Mixed finite elements in R3 . Numer. Math. 35, p. 315-341 (1980). H. Norrie, G. de Vries : A survey of the finite element applications on fluid mechanics in Proc.

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