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Vyhodnocení plošné extremity extrémních povětrnostních událostí v Česku v období 1961–2020
Kašpar, Marek; Müller, Miloslav
2023 - český
S ohledem na násobné dopady povětrnostních extrémů při zasažení většího území jsme navrhli plošný způsob jejich hodnocení. Hodnotili jsme šest typů extrémních povětrnostních událostí, které zahrnují vlny veder, studené vlny, prudká ochlazení, větrné bouře, silné srážky a silná sněžení. Využili jsme původní metodiku pracující s tzv. indexem extremity počasí odvozeným z dob opakování hodnot příslušných meteorologických veličin v zasažené oblasti. Každá událost je charakterizována nejen plošnou extremitou kvantifikovanou indexem, ale také prostorovým rozsahem a délkou trvání. Vlny veder a studené vlny ve sledovaném období dosahují ve spojitosti s větším prostorovým rozsahem obecně vyšších hodnot indexu. Růst četnosti a extremity vln veder kontrastuje s poklesem četnosti studených vln a významných silných sněžení. Četnost větrných bouří mírně klesá, přičemž nejvýznamnější z nich se koncentrují v chladném půlroce. Prudká ochlazení jsou nejčastější v teplém půlroce, nicméně tři ze čtyř nejextrémnějších událostí se vyskytly v lednu. Četnost silných srážek má tendenci kolísat. Získaná meteorologická databáze extrémních událostí může pomoci při odhadech parametrů budoucích událostí s využitím modelů klimatu. Due to the multiplication of impacts of weather extremes when occurring in larger area, we proposed an areal approach of their evaluation. We evaluated six types of extreme weather events, namely, heat waves, cold waves, air temperature drops, windstorms, heavy precipitation, and heavy snowfalls. We employed the original method using the Weather Extremity Index derived from return periods of values of relevant meteorological variables in the affected area. Each event is characterized not only by the areal extremeness quantified with the index but also by the spatial extent and duration. In the studied period, heat and cold\nwaves generally reach higher index values in relation with larger affected area. The increase in the frequency and extremity of heat waves is in contrast with the decrease in the frequency of cold waves and significant heavy snowfalls. The frequency of windstorms is slightly decreasing with the most significant ones concentrated in the cold half-year. Air temperature drops are the most frequent in the warm half-year, nevertheless three of four top events occurred in January. The frequency of heavy precipitation tends to fluctuate. The obtained meteorological database of extreme events may help to estimate the parameters of future ones using climate models.
Klíčová slova:
weather extreme; Weather Extremity Index; return period; meteorological database
Plné texty jsou dostupné na jednotlivých ústavech Akademie věd ČR.
Vyhodnocení plošné extremity extrémních povětrnostních událostí v Česku v období 1961–2020
S ohledem na násobné dopady povětrnostních extrémů při zasažení většího území jsme navrhli plošný způsob jejich hodnocení. Hodnotili jsme šest typů extrémních povětrnostních událostí, které zahrnují ...
Změna rozdělení srážek při růstu teploty vyjádřená v diagnostických a prognostických datech
Sokol, Zbyněk; Řezáčová, Daniela
2023 - český
Shrnujeme hlavní výsledky, které ukazují, jak se mění rozdělení srážek s rostoucí teplotou. Hodnocení využívá hodinové úhrny z 97 srážkových stanic z území České republiky za roky 1997 až 2019. Hodnoty přízemní teploty, přízemního rosného bodu a výstupné kondenzační hladiny jsou užity pro vyjádření teplotní změny. Výsledky ukazují, jak se teplotní růst napěti nasycení (CC scaling) projevuje v rozložení hodnot srážek na studovaném území. Obecně se nárůst srážek v závislosti na sledovaných teplotách zřetelně projevuje u horních kvantilů avšak pouze pro určité intervaly teplot, což potvrzuje závěry i jiných prací. V práci jsou obdobně jako naměřená data zpracována data z reanalýz provedených modelem ALADINCLIMAT/CZ.\n We summarize the main results that show how the distribution of precipitation changes with increasing temperature. Hourly rainfall totals from 97 rain gauge stations in the Czech Republic for the years 1997 to 2019 are used for the evaluation. Ground temperature, ground dew point temperature and temperature at the lifting condensation level are used to express the temperature change. The results show how an increase in temperature and a corresponding increase in saturation humidity (CC scaling) affects the distribution of precipitation in the study area. In general, the increase in precipitation as a function of observed temperature is clearly evident for the upper quantile values, but only for certain temperature intervals. It confirms the findings of other studies. In this paper, data from reanalyses performed by the ALADIN-CLIMAT/CZ model are treated similarly to the measured data.\n
Klíčová slova:
Clausius Clapeiron equation; precipitation; dependence of precipitation intensity on temperature
Plné texty jsou dostupné na jednotlivých ústavech Akademie věd ČR.
Změna rozdělení srážek při růstu teploty vyjádřená v diagnostických a prognostických datech
Shrnujeme hlavní výsledky, které ukazují, jak se mění rozdělení srážek s rostoucí teplotou. Hodnocení využívá hodinové úhrny z 97 srážkových stanic z území České republiky za roky 1997 až 2019. ...
Identification of quasiperiodic processes in the vicinity of the resonance
Fischer, Cyril; Náprstek, Jiří
2023 - anglický
In nonlinear dynamical systems, strong quasiperiodic beating effects appear due to combination of self-excited and forced vibration. The presence of symmetric or asymmetric beatings indicates an exchange of energy between individual degrees of freedom of the model or by multiple close dominant frequencies. This effect is illustrated by the case of the van der Pol equation in the vicinity of resonance. The approximate analysis of these nonlinear effects uses the harmonic balance method and the multiple scale method.
Klíčová slova:
dynamical systems; quasiperiodic response; van der Pol equation
Plné texty jsou dostupné na jednotlivých ústavech Akademie věd ČR.
Identification of quasiperiodic processes in the vicinity of the resonance
In nonlinear dynamical systems, strong quasiperiodic beating effects appear due to combination of self-excited and forced vibration. The presence of symmetric or asymmetric beatings indicates an ...
Laboratory X-ray imaging in material sciences
Koudelka_ml., Petr; Kytýř, Daniel; Jiroušek, O.
2023 - anglický
In recent decades, X-ray imaging and computed (micro)tomography (XCT) in particular have become common tools for volumetric inspection, visualization, and analysis of internal structure in materials from various fields [1]. In this lecture, we will explore various applications of laboratory X-ray imaging chains utilizing the combination of tomographical imaging with mechanical, thermal, or chemical loading of the irradiated sample in a so-called time-resolved imaging allowing for unprecedented insight into different phenomena driving fundamental processes encountered in various fields of material science. We will show that failure processes in engineering or geological materials [2] can be thoroughly studied by synergy of information from radiographical imaging and other methods including acoustic emission detection and optical measurements via high-speed visible-spectrum and thermal-imaging cameras, where the radiography provides important spatial information regarding deformation processes evolving within the tested samples that could not be obtained otherwise. The state-of-the-art the laboratory based imaging chains for investigation of dynamic response of materials under loading will be also discussed including high speed X-ray radiography utilizing a powerful X-ray source during high velocity impact as an approach suitable for inspection of an impacted sample. As an alternative to both conventional high-power sources and accelerator facilities, capabilities of a flash X-ray system developed primarily for in-situ ballistics research providing very short bursts of an extremely powerful intermittent X-ray radiation with a typical duration of dozens of nanoseconds will be shown.
Klíčová slova:
X-ray imaging; material characterization; mechanical properties
Plné texty jsou dostupné na jednotlivých ústavech Akademie věd ČR.
Laboratory X-ray imaging in material sciences
In recent decades, X-ray imaging and computed (micro)tomography (XCT) in particular have become common tools for volumetric inspection, visualization, and analysis of internal structure in materials ...
Interpolation with restrictions -- role of the boundary conditions and individual restrictions
Valášek, Jan; Sváček, P.
2023 - anglický
The contribution deals with the remeshing procedure between two computational finite element meshes. The remeshing represented by the interpolation of an approximate solution onto a new mesh is needed in many applications like e.g. in aeroacoustics, here we are particularly interested in the numerical flow simulation of a gradual channel collapse connected with a~severe deterioration of the computational mesh quality. Since the classical Lagrangian projection from one mesh to another is a dissipative method not respecting conservation laws, a conservative interpolation method introducing constraints is described. The constraints have form of Lagrange multipliers enforcing conservation of desired flow quantities, like e.g. total fluid mass, flow kinetic energy or flow potential energy. Then the interpolation problem turns into an error minimization problem, such that the resulting quantities of proposed interpolation satisfy these physical properties while staying as close as possible to the results of Lagrangian interpolation in the L2 norm. The proposed interpolation scheme does not impose any restrictions on mesh generation process and it has a relatively low computational cost. The implementation details are discussed and test cases are shown.
Klíčová slova:
interpolation; Lagrange multiplier; Lagrange projection
Plné texty jsou dostupné v digitálním repozitáři Akademie Věd.
Interpolation with restrictions -- role of the boundary conditions and individual restrictions
The contribution deals with the remeshing procedure between two computational finite element meshes. The remeshing represented by the interpolation of an approximate solution onto a new mesh is needed ...
Dynamics of dissolved organic carbon in surface water during extreme rainfall-runoff events
Matoušková, M.; Fraindová, K.; Bejčková, M.; Kliment, Z.; Vlach, V.; Vlček, Lukáš
2023 - anglický
The release of a greater amount of natural organic matter (NOM) within climate change is registered in many catchments with peatbog areas. The aim of our research is to study the dynamics of releasing dissolved organic carbon (DOC) into surface water in headwater areas with peatbogs. DOC concentrations are analysed in relation to extreme rainfall-runoff (R-R) events and according to the hydrological preconditions of the basin. These preconditions are described using selected hydroclimatic variables (14 days before the R-R event). The source data comes from stations of the Faculty of Science, Charles University, and the Czech Hydrometeorological Institute. For the evaluation of relations and processes, the Principal component analysis (PCA), hysteresis loops or Pearson correlation coefficient was used. The lag time of DOCmax for Qmax, the dependence of DOCmax and groundwater levels were studied. The influence of flow rate on the decline and ascent phases of DOC\nconcentrations by hysteresis loops and the influence of the number of partial flow maximums on the amount of transported DOC during the R-R event was analysed. Our first results show that great influence on the dynamic of DOC concentration in surface water has the change in groundwater-levels in the peatbog and the outflow amount during the R-R event. The hydroclimatic preconditions of the basin have also a significant influence on the DOC release. Changes in concentrations during R-R events also occurred for other compounds that were studied additionally. Particularly significant was the increase in metals (mainly Fe, Al, Mn) and base cation (K) and decrease in nitrate nitrogen.
Klíčová slova:
natural organic matter; dissolved organic carbon; peatbog; surface water
Dokument je dostupný na externích webových stránkách.
Dynamics of dissolved organic carbon in surface water during extreme rainfall-runoff events
The release of a greater amount of natural organic matter (NOM) within climate change is registered in many catchments with peatbog areas. The aim of our research is to study the dynamics of releasing ...
Bohl-Marek decomposition applied to a class of biochemical networks with conservation properties
Papáček, Štěpán; Matonoha, Ctirad; Duintjer Tebbens, Jurjen
2023 - anglický
This study presents an application of one special technique, further called as Bohl-Marek decomposition, related to the mathematical modeling of biochemical networks with mass conservation properties. We continue in direction of papers devoted to inverse problems of parameter estimation for mathematical models describing the drug-induced enzyme production networks [3]. However, being aware of the complexity of general physiologically based pharmacokinetic (PBPK) models, here we focus on the case of enzyme-catalyzed reactions with a substrate transport chain [5]. Although our ultimate goal is to develop a reliable method for fitting the model parameters to given experimental data, here we study certain numerical issues within the framework of optimal experimental design [6]. Before starting an experiment on a real biochemical network, we formulate an optimization problem aiming to maximize the information content of the corresponding experiment. For the above-sketched optimization problem, the computational costs related to the two formulations of the same biochemical network, being (i) the classical formulation x˙(t) = Ax(t) + b(t) and (ii) the 'quasi-linear' Bohl-Marek formulation x˙M(t) = M(x(t)) xM(t), can be determined and compared.
Klíčová slova:
Mathematical modeling; Biochemical network; Pharmacokinetic (PBPK) models
Dokument je dostupný na externích webových stránkách.
Bohl-Marek decomposition applied to a class of biochemical networks with conservation properties
This study presents an application of one special technique, further called as Bohl-Marek decomposition, related to the mathematical modeling of biochemical networks with mass conservation properties. ...
Validation of numerical simulations of a simple immersed boundary solver for fluid flow in branching channels
Keslerová, R.; Lancmanová, Anna; Bodnár, Tomáš
2023 - anglický
This work deals with the flow of incompressible viscous fluids in a two-dimensional branching channel. Using the immersed boundary method, a new finite difference solver was developed to interpret the channel geometry. The numerical results obtained by this new solver are compared with the numerical simulations of the older finite volume method code and with the results obtained with OpenFOAM. The aim of this work is to verify whether the immersed boundary method is suitable for fluid flow in channels with more complex geometries with difficult grid generation.
Klíčová slova:
immersed boundary method; finite volume method; OpenFOAM
Plné texty jsou dostupné v digitálním repozitáři Akademie Věd.
Validation of numerical simulations of a simple immersed boundary solver for fluid flow in branching channels
This work deals with the flow of incompressible viscous fluids in a two-dimensional branching channel. Using the immersed boundary method, a new finite difference solver was developed to interpret the ...
Rooting algebraic vertices of convergent sequences
Hartman, David; Hons, T.; Nešetřil, J.
2023 - anglický
Structural convergence is a framework for convergence of graphs by Nešetřil and Ossona de Mendez that unifies the dense (left) graph convergence and Benjamini-Schramm convergence. They posed a problem asking whether for a given sequence of graphs (Gn) converging to a limit L and a vertex r of L it is possible to find a sequence of vertices (rn) such that L rooted at r is the limit of the graphs Gn rooted at rn. A counterexample was found by Christofides and Král’, but they showed that the statement holds for almost all vertices r of L. We offer another perspective to the original problem by considering the size of definable sets to which the root r belongs. We prove that if r is an algebraic vertex (i.e. belongs to a finite definable set), the sequence of roots (rn) always exists.
Klíčová slova:
rooting; algebraic vertices; convergent sequences
Plné texty jsou dostupné v digitálním repozitáři Akademie Věd.
Rooting algebraic vertices of convergent sequences
Structural convergence is a framework for convergence of graphs by Nešetřil and Ossona de Mendez that unifies the dense (left) graph convergence and Benjamini-Schramm convergence. They posed a problem ...
Effect of aging on mechanical properties of 3D printed samples using stereolithography
Drechslerová, V.; Falta, J.; Fíla, T.; Dvořák, R.; Kytýř, Daniel
2023 - anglický
This paper focuses on stereolithography (an additive manufacturing technology working on the principle of curing liquid resins layer by layer using ultraviolet radiation) and the effect of aging on the mechanical properties of the material and printed samples. The aging of the material could be a problem for its subsequent use as the stability of the mechanical properties would not be maintained and unwanted deterioration of the material could occur. As part of the research, sets of samples were printed and subjected to different aging methods and subsequently subjected to quasi-static and dynamic uni-axial load tests. From the data obtained, the basic mechanical properties of the material were calculated and compared with each other. The aim of this paper was to investigate whether aging process causes significant changes in the mechanical properties of the materials used, which could have a consequential impact on their use in different industries.
Klíčová slova:
stereolithography; aging; mechanical properties
Plné texty jsou dostupné na jednotlivých ústavech Akademie věd ČR.
Effect of aging on mechanical properties of 3D printed samples using stereolithography
This paper focuses on stereolithography (an additive manufacturing technology working on the principle of curing liquid resins layer by layer using ultraviolet radiation) and the effect of aging on ...
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