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" Our research is concerned with the modeling and simulation
of flow processes, transport phenomena and flow-induced phase transitions
in systems with a complex internal microstructure. Typical examples
include the flow of polymer solutions and melts, turbulent flow,
free-surface flows with surfactants, etc. Our primary concern is the
interrelationship between the flow and the microstructure. Our approach in
dealing with complex dynamic phenomena involving multiple scales in length
and time is hierarchical. Our theoretical analysis starts from
non-equilibrium thermodynamics considerations of the microstructure. Based
on our recently developed modeling approach (see research monograph in the
references below), a thermodynamically consistent macroscopic continuum
description is achieved. For that, microscopic information is used, which
is obtained from models in the literature or generated, as needed. Last,
but not least, specific predictions on flow processes of interest are
obtained through the use of analytical (i.e., stability analysis and
bifurcation theory) and numerical methods (high performance computing
simulations). Thus, considerable effort is devoted to the development of
suitable numerical methods and their efficient implementation in
state-of-the-art computer architectures (vector and parallel
supercomputers). "
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