complex flows that are occurring in the area of hydraulic engineering will
be presented. The method of large-eddy simulation is employed to study
details of the flow over rough and porous channel beds, flow in an ozone
contactor and the flow through idealized emergent vegetation. The main
objective of the simulations is to gain insight into physical mechanisms
at play. In particular, flow unsteadiness and coherent turbulence
structures are important contributors to mass and momentum transfer in
open channels. The performed large-eddy simulations allow revealing and
quantifying these coherent structures.
I will propose two numerical approaches for minimizing the MFF. Approach
I is good for high-dimensional systems and fixed endpoints. It is
based on temperature relaxation strategy and Broyden's method. Approach
II is good for low-dimensional systems and only one fixed endpoint. It
is based on Sethian's Fast Marching Method.I will show the
application of Approaches I and II to the problems of rearrangement of
Lennard-Jones cluster of 38 atoms and of CO escape from the Myoglobin protein
type, in which the vector field varies
discontinuously as solution trajectories reach one or more surfaces.
Emphasis is on the fundamental matrix solution associated to
We consider the cases of transversal intersection and of sliding motion
a co-dimension one surface and when
sliding motion takes place on a co-dimension two surface
(the intersection of two co-dimension one surfaces).
[Joint work with L.Lopez, Univ. of Bari]