By Joseph L. Steger (auth.), M. Y. Hussaini, A. Kumar, M. D. Salas (eds.)
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Lease Report 91-41. 51  L. Cowsar Parallel Domain Decomposition Method for Mixed FEM for Elliptic PDE. Rice University Internal report TR9037. Nov 1990  C. Farhat L. Fezoui, S. Lanteri CFD with irregular grids on the connection machine Parallel CFD conf. Stuttgart, June 1991. R. P. Franca, M. Mallet: A new Finite Element Formulation for CFD: Symmetric form of the Compressible Euler and Navier Stokes equations. Compo Methods. in Applied Mech. and Eng. 54 , p223-234. 1986. M. Deshpande: A second order accurate kinetic theory based method for inviscid compressible flows.
Therefore we know very well what gl'idsize or how many modes we need to resolve all relevant scales. b) In two-dimensional calculations today's computers can resolve these scales even for large Reynolds numbers. Thus we can solve the viscous N-S equations by direct simulation. 20 In three-dimensional calculations only moderate Reynolds numbers can be treated by direct simulation. It is also quite difficult to perform numerical experiments, because these experiments are performed at the limit of capacity.
Chavent, B. Cockburn, G. Cohen, J. Jaffre: A discontinuous > FEM for nonlinear hyperbolic equations. IN Innovative Methods in Engineering. Springer 1984. O. Bristeau, R. Glowinski, L.