MS at FEF2019 on Stabilized and Structure-Preserving Methods

[Pablo A. Kler]

Desde: 31-03-2019
Hasta: 05-04-2019
Lugar: Chicago


Computational methods are fundamental in the development and design
processes in modern-day engineering. Processes where flow problems or
coupled flow problems, respectively, are involved usually pose particular
challenges for the computational methods. The simulation of these extremely
complex flows requires a significant amount of computational resources as
well as sophisticated models and numerical methods. Relevant examples are
complex flows such as turbulent reactive and non-reactive flows, multiphase
flows, or various other flows in industrial and environmental applications,
and coupled flow problems such as fluid-structure interaction or various
species transport problems. Over the last decades, significant research
efforts seek to develop computational techniques that overcome difficulties
encountered by classical methods of approximation (e.g., finite
differences, finite volumes, and finite elements) when dealing with such
(coupled) flow problems. We will discuss recent advances on compatible and
positivity-preserving discretizations.  Continuous as well as discontinuous
discretization methods will be considered.   For instance, techniques such
as stabilization, reinterpreted as variational multiscale modelling, have
proven to be powerful computational approaches for their numerical
simulation. In the last decade, modern automatically stabilized techniques
such as the discontinuous Petrov-Galerkin and the hybrid-higher order
methods were introduced and developed. This minisymposium will provide a
forum for researchers and practitioners to present and discuss current
issues concerning the development of numerical methods as well as
mathematical models for (coupled) flow problems.
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