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Universal third parts of any complete 2-graph and none of DK5

Fortuna A., Skupień Z.

Opuscula Mathematica

2013

Vol. 33, no. 4

685--696

It is shown that there is no digraph F which could decompose the complete digraph on 5 vertices minus any 2-arc remainder into three parts isomorphic to F for each choice of the remainder. On the other hand, for each n ≥ 3 there is a universal third part F of the complete 2-graph 2Kn on n vertices, i.e., for each edge subset R of size [formula] mod 3, there is an F-decomposition of 2Kn−R. Using an exhaustive computer-aided search, we find all, exactly six, mutually nonisomorphic universal third parts of the 5-vertex 2-graph. Nevertheless, none of their orientations is a universal third part of the corresponding complete digraph.

Numerical simulation of axisymmetric nonNewtonian free surface flows

Tome M. F., Grossi L., Castelo A., Cuminato J. A., Fortuna A., McKee S.

Applied Mechanics and Engineering

1999

Vol. 4, no spec.

121-126

A numerical method for solving axisymmetric transient nonNewtonian free surface flows is presented. The methodology employed is an extension of the twodimensional GENSMAC code, employing a markerandcell technique and solving the governing equations using finite differences approximations on a staggered grid. Marker particles are used which provide both the location and the visualization of the free surface. Several simulations demonstrating the differences between Newtonian and nonNewtonian flow are presented.