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Current Problems in Numerical Analysis

usually takes place each Friday, at 10:00 in IM, rear building, ground floor
Chair: Michal Křížek, Jan Papež, Jakub Šístek, Tomáš Vejchodský
Old web page with the seminar history:

A Cahn-Hilliard Navier-Stokes solver within OpenFOAM framework

Josef Musil
Institute of Mathematics of the Czech Academy of Sciences
Friday, 31. March 2023 - 10:00 to 11:00

Simulating fully-resolved particle-laden flows: Computational points and challenges for model order reduction

Martin Isoz
Institute of Thermomechanics of the Czech Academy of Sciences
Friday, 14. April 2023 - 10:00 to 11:00
In the talk, we will go through fundamentals of simulating particle laden-flows via Eulerian-Lagrangian approaches. In particular, we consider (i) the solid bodies projected onto the flow computational mesh via a variant of the immersed boundary method (IBM), and (ii) the particle movement and interactions solved via the discrete element method (DEM). We will discuss our custom approaches to both the IBM and DEM and comment on their shortcomings. With respect to IBM, we shall focus on its implementation in the finite volume method, treatment of domain-decomposition and  turbulence modeling. As for DEM, a few notes will be made on our attempts to produce a computationally efficient code for handling arbitrarily-shaped solids. Altogether, the presented methods are highly computationally demanding. Yet, we are ultimately interested in providing computational methods usable in engineering. Unfortunately, the studied systems are transport-dominated and mathematically inconsistent,... more

Fast evaluation of finite element weak forms using python tensor contraction packages

Robert Cimrman
Institute of Thermomechanics of the Czech Academy of Sciences
Friday, 21. April 2023 - 10:00 to 11:00

Anniversary seminar dedicated to the 90th birthday of Karel Segeth

Jaroslav Mlýnek, Jan Chleboun, Jana Příhonská, Michal Křížek
Friday, 12. May 2023 - 10:00 to 11:00