There has been significant progress in the field, but some issues need further improvement. These include: (i) issues of thermodynamic consistency (ii) convergence to the continuum limit; and (iii) the role of non-hydrodynamic degrees of freedom. A synoptic view on all the existing complementary methods will be very helpful.
The meeting aims at bringing together researchers with different and complementary backgrounds, ranging from physicists to chemical engineers and applied mathematicians, who are experts in their respective fields. The goal is to promote the efficient application of advanced numerical methods through a deep understanding of the physical and mathematical background. It is anticipated that a discussion of the relevant questions will lead to a comparison of observations, a sharing of procedures, and foster new collaborations among a multidisciplinary group of scientists and engineers working on an important contemporary problem.
The format of the meeting is planned as a two-day school, followed by a two-day workshop.