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Current Problems in Numerical Analysis

usually takes place each Friday, at 09:00 in IM, front building, third floor
Chair: Michal Křížek, Pavel Kůs, Jakub Šístek, Tomáš Vejchodský
Old web page with the seminar history:

On the convergence of a MAC scheme for the compressible Navier-Stokes system

Bangwei She
Institute of Mathematics of the CAS
Friday, 22. November 2019 - 9:00 to 10:00
We propose a finite difference Marker-And-Cell scheme for the compressible Navier-Stokes system. First, we show the stability and consistency of the numerical solution. Next, we prove the convergence of the numerical solution to the strong solution on the lifespan of the latter thanks to the dissipative measure-valued weak-strong uniqueness argument. Finally, employing the relative entropy functional, we show the convergence rate of the numerical solution.

Influence of rheological parameters on generalized Oldroyd-B fluid flow through curved pipes

Marília Pires
University of Evora, Portugal
Friday, 29. November 2019 - 9:00 to 10:00
Flows in curved pipes are very challenging and considerably more complex than flows in straight pipes. Due to fluid inertia, a secondary motion appears in addition to the primary axial flow. It is induced by an imbalance between the cross stream pressure gradient and the centrifugal force and consists of a pair of counter-rotating vortices, which appear even for the most mildly curved pipe.
Parallel to the pipe curvature ratio, the rheological parameters of the fluid have a considerable influence on the flow behavior. In this work, numerical simulations obtained by finite elements method, involving steady, incompressible, creeping and inertial flows of the generalized Oldroyd-B fluid through curved pipes are presented. The behavior of the solutions is discussed with respect to different rheologic and geometric flow parameters.

Relativity in the Large Hadron Collider Era

Jan Rak
University of Jyvaskyla
Friday, 6. December 2019 - 9:00 to 10:00

Spectral/hp Element Method and solver to Navier-Stokes-Fourier system with variable material properties

Jan Pech
Institute of Thermomechanics of the CAS
Friday, 13. December 2019 - 9:00 to 10:00