Michal Beneš, Miroslav Kolář and Daniel Ševčovič

Abstract:

We discuss the motion of closed non-intersecting space curves by curvature in binormal and normal directions with application in vortex dynamics. We formulate the general motion law in space by binormal and normal curvature and mention its analytical properties. The finite-volume scheme allows to solve the motion numerically. We demonstrate behavior of the solution on several computational studies combining normal and binormal velocity and mutual interactions.

Jooyoung Hahn

Abstract:

This study introduces a novel approach combining two-dimensional gas chromatography (GC×GC), high-resolution time-of-flight mass spectrometry (HR-TOF-MS), and topological data analysis (TDA) to identify unique chemical signatures in botrytized wines from Austria, Hungary, Slovakia, and France. Employing the ball mapper algorithm, we manage the high-dimensional data generated by HR-TOF-MS, simplifying the complex dataset into a representative set of chemical compounds for each wine. This method allows us to visualize and analyze chemical diversity and relationships in a more accessible two-dimensional form, facilitating the identification of distinct chemical profiles unique to wines from different regions. The application of this technique not only enhances our understanding of the compositional variations in European wines but also demonstrates the potential of TDA in analytical chemistry for complex mixture analysis such as food authentication and environmental studies. Our findings provide a new perspective on the standard analytical approaches, offering advancements in the field of computational geometric design applied to chemometrics.

Tomáš Halada

Abstract:

Pavel Hron

Abstract: tba

Vladimír Jarý, Jozef Hrdý, Jan Chrastina, Matěj Michálek, Josef Nový, Jan Oršl, Daria Soboleva, Samuel Zahorec

Abstract:

Modern particle physics experiments strongly depend on the efective implementation of the data acquisition (DAQ) systems. In this paper, we will focus on development of the DAQ of the AMBER experiment at CERN. We will start with brief overview of the scientific program of the experiment. Next we will explain the standard architecture of the traditional DAQ systems that heavily rely on fast trigger subsystems that select potential event candidates in distributed, high rate environment. We will discuss disadvantages of such triggered DAQ system and the we will introduce innovative triggerless DAQ system that has been development for the AMBER experiment. In this system, filtering logic is moved to higher levels which allows to use more advanced algorithms for event candidates selection. We will describe current status of development that involves work of student of Bachelor's and Master's degree courses at our faculty.

Miroslav Kolar

Abstract: TBA

Daniel Sevcovic, Miroslav Kolar

Abstract:

We investigate the motion of a family of closed curves evolving on an embedded or immersed manifold in three dimensional Euclidean space  according to the geometric evolution law.  We derive a system of nonlinear parabolic equations describing the motion of curves belonging to a given two-dimensional manifold. We consider both embedded and immersed manifolds. Using the abstract theory of analytic semiflows, we prove the local existence, uniqueness of H\"older smooth solutions to the governing system of nonlinear parabolic equations for the position vector parametrization of evolving curves. We apply the method of flowing finite volumes in combination with the methods of lines for numerical approximation of the governing equations. Numerical experiments support the analytical conclusions and demonstrate the efficiency of the method.

Pavel Strachota

Abstract:

This work deals with numerical simulation of water freezing and thawing in a complex three-dimensional geometry of a porous medium. The porous structure is represented by a virtual container filled with glass beads. Phase transition modeling is approached at both macro-scale and micro-scale, combining heat transfer in a heterogeneous medium and a phase-field approximation of the Gibbs-Thomson relation by means of the Allen-Cahn equation. The formulation of the model contains novel components tailored for the given purpose. In addition to this general model, two limit scenarios are considered: At the macro-scale, surface tension effects are negligible and phase transition focusing based on temperature can replace the Allen-Cahn equation. In contrast to that, simulations of equilibrium states at the micro-scale allow to eliminate the heat equation by assuming constant supercooling. For numerical solution, an efficient hybrid parallel algorithm based on the finite volume method and the Runge-Kutta-Merson solver with adaptive time stepping are employed. The results of different model variants at different scales are discussed. In a parametric study, the full phase-field model is demonstrated to deliver consistent results across a wide range of surface tension values, exhibiting curvature-induced premelting if surface tension is artificially exaggerated. As surface tension tends to the realistic values, the results of the phase-field approach those of the simplified temperature-driven phase transition model. In addition, micro-scale simulations of water freezing at different supercooling values aim to predict the unfrozen water content and compare the results with data from literature. Numerical stability, accuracy, and computational costs are also discussed.

Robert Straka

Abstract:

Quang Van Tran

Abstract:

The banking sector is rarely included in a macroeconomic model as it is difficult to capture its behavior. This research studies the behavior of the banking sector, which takes deposits from households and provides loans to other entities. First, the model is derived and calibrated. Then, an impulse response analysis is performed to get the reactions of economic variables to various types of external shocks. The results of this analysis can be used to tailor appropriate economic policies for dealing with actual fluctuations in a real economy.