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Search results for: numerical methods
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Analytical and numerical solution of a coupled KdV-MKdV system.
PublicationTransformacje Darboux zostały użyte do rozwiązania układu równań KdV-MKdV.
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Detection of additional mass in rods: Experimental and numerical investigation
PublicationW pracy przedstawiono wyniki badań eksperymentalnych i numerycznych nad wykorzystaniem zmian w propagacji fal sprężystych do detekcji masy skupionej znajdujacej się w konstrukcji prętowej.
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Distortion Analysis of Gm-C Filters - Numerical Approach
PublicationW pracy przedstawiono efektywną procedurę symulacji numerycznej zniekształceń nieliniowych dla dowolnych filtrów Gm-C. Zaprezentowano ogólny model filtrów Gm-C zawierających nieliniowe elementy aktywne (transkonduktory). Przeprowadzono analizę modelu, która prowadzi do sformułowania ogólnego nieliniowego układu równań różniczkowych zwyczajnych opisujacych dynamikę napięć węzłowych filtru w dziedzinie czasu. Scałkowanie numeryczne...
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Steel-fibrous concrete -experiments and a numerical discrete model
PublicationW książce przedstawiono wyniki doświadczalne i numeryczne dotyczące rys w elementach betonowych wzmocnionych włóknami stalowymi dla różnych problemów brzegowych quasi-statycznych. Obliczenia wykonano przy zastosowaniu własnego oryginalnego modelu sieciowego. W modelu beton z włóknami stalowymi był modelowany na poziomie mezo. W obliczeniach uwzględniono strefy kontaktu miedzy kruszywem a zaczynem oraz włóknami a zaczynem.
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Experiments and numerical analyses for composite RC-EPS slabs
PublicationW artykule przedstawiono wyniki doświadczalne i numeryczne dla kompozytowych płyt złożonych z żelbetu i styropianu. Wykonano doświadczenia dla płyt w skali 1:1 podczas zginania. Wyniki doświadczalne zostały modelowane stosując 2 różne modele: sprężysto-plastyczny i połączony sprężysto-plastyczny z degradacja sztywności. Oba model zostały wyposażone w długość charakterystyczna mikrostruktury. Osiągnięto dobra zgodność miedzy...
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Confined granular flow in silos : experiments and numerical investigation
PublicationW monografii opisano niektóre charakterystyczne zjawiska mające miejsce podczas przepływów silosowych materiałów sypkich. Wykonano badania doświadczalne oraz obliczenia numeryczne celem wyjaśnienia zjawisk. Doświadczenia wykonano w dużych i małych silosach. Obliczenia wykonano przy zastosowaniu metody elementów skończonych opartej na hipoplastycznym modelu konstytutywnym dla materiałów sypkich.
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DETERMINING THE TIME CONSTANT USING TWO METHODS AND DEFINING THE THERMOCOUPLE RESPONSE TO SINE EXCITATION OF GAS TEMPERATURE
PublicationThis paper describes the two methods of determining the time constant of type K thermocouple, for two construction solutions: the exposed weld and the mantle fillet weld. This is an important parameter indicating the response time of the thermocouple on the recorded signal. The first method consists of determining the value of τ in the way of numerical simulation of heat exchange between the thermocouple and the current of gas...
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Special Issue "Applications of Finite Element Modeling for Mechanical and Mechatronic Systems"
PublicationNumerical modeling is very important in today's engineering because, among other things, it reduces the costs associated with prototyping or predicting the occurrence of potentially dangerous situations during operation in certain defined conditions. Different methods have so far been used to implement the real structure into the numerical version. The most popular have been variations of the finite element method (FEM). The aim...
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Reliability assessment of truss towers using Monte Carlo Method, PEM and RSM
PublicationThe paper discusses reliability assessment of simple random truss structures using three different probabilistic methodologies: the Monte Carlo Method (MCM), the Point Estimate Method (PEM) and the Response Surface Method (RSM). A benchmark truss structure and a simplified full–size engineering tower are both analyzed. A set of ultimate load numerical calculations is performed and the results are taken as the basis of advanced...
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Weighted difference schemes for systems of quasilinear first order partial functional differential equations
PublicationThe paper deals with initial boundary value problems of the Dirichlet type for system of quasilinear functional differential equations. We investigate weighted difference methods for these problems. A complete convergence analysis of the considered difference methods is given. Nonlinear estimates of the Perron type with respect to functional variables for given functions are assumed. The proof of the stability of difference problems...
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Footbridges. Dynamic Design – Selected Problems
PublicationModern footbridges create challenge in esthetic and structural design. Breaking the proven canons is a recipe for architectural success. However esthetic form has to be also a functional pedestrian bridge. Therefore a good FEM modeling is a key element in engineering part of design. The paper presents selected problems related to the modeling of the dynamic construction of footbridges. Several basic dynamic problems concerning...
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Solution of the dike-break problem using finite volume method and splitting technique
PublicationIn the paper the finite volume method (FVM) is presented for the solution of two-dimensional shallow water equations. These equations are frequently used to simulate the dam-break and dike-break induced flows. The applied numerical algorithm of FVM is based on the wave-propagation algorithm which ensures a stable solution and simultaneously minimizes the numerical errors. The dimensional decomposition according to the coordinate...
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Compatibility of Crude Oil Blends─Processing Issues Related to Asphaltene Precipitation, Methods of Instability Prediction─A Review
PublicationProcessing crude oil of variable composition, especially due to the need to process crude oil blends obtained from various sources, presents a tremendous process challenge. This is mainly due to the destabilization of the colloidal system manifested mostly by the precipitation of the asphaltene fraction. The precipitation of asphaltenes from crude oil is a serious problem during extraction, transport, and processing. In the latter...
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Study of the Flow Dynamics of Surface Water Masses in the Area of the Coastal Gulf of Gdansk
PublicationThe paper describes two methods of predicting the movement of small objects with surface water masses. One of the methods uses graph theory to describe the motion of water masses in port docks. The results of this study were compared to a simulation using the hydrodynamic numerical model M3D. The results obtained in a virtual environment were related to the experiments in the real world. In the coastal area of the Gulf of Gdansk,...
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Cable-stayed cantilever structures as an expat of unique application in the construction of a building located in seismic area – an author’s project of multifunctional building in Lisbon, Portugal
PublicationThe article presents numerical simulations for the modelling of seismic impact on the structure of unique cantilever cablestayed structure with application of two methods. The Response Spectrum method, in which a spectrum of the structure's responses to an earthquake's impact is generated and the Accelerogram method, in which we generate dynamic load in the form of a diagram of the connection between acceleration and time for...
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Effective highly accurate time integrators for linear Klein-Gordon equations across the scales
PublicationWe propose an efficient approach for time integration of Klein-Gordon equations with highly oscillatory in time input terms. The new methods are highly accurate in the entire range, from slowly varying up to highly oscillatory regimes. Our approach is based on splitting methods tailored to the structure of the input term which allows us to resolve the oscillations in the system uniformly in all frequencies, while the error constant...
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Effective highly accurate time integrators for linear Klein-Gordon equations across the scales
PublicationWe propose an efficient approach for time integration of Klein-Gordon equations with highly oscillatory in time input terms. The new methods are highly accurate in the entire range, from slowly varying up to highly oscillatory regimes. Our approach is based on splitting methods tailored to the structure of the input term which allows us to resolve the oscillations in the system uniformly in all frequencies, while the error constant...
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Numerical Estimation of Hull Hydrodynamic Derivatives in Ship Maneuvering Prediction
PublicationPrediction of the maneuvering characteristics of the ship at the design stage can be done by means of model tests, computational simulations or a combination of both. The model tests can be realized as direct simulation of the standard maneuvers with the free running model, which gives the most accurate results, but is also the least affordable as it requires very large tank or natural lake, as well as complex equipment of the...
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Numerical analysis of the ostiomeatal complex aeration using the CFD method
PublicationWe aimed to analyse ostiomeatal complex (OMC) aeration using the computational fluid dynamics (CFD) method of simulation based on human craniofacial computed tomography (CT) scans. The analysis was based on CT images of 2 patients: one with normal nose anatomy and one with nasal septal deviation (NSD). The Reynolds-Average Simulation approach and turbulence model based on linear eddy viscosity supplemented with the two-equation...
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Numerical analysis of vacuum drying of a porous body in the integrated domain
Publicationn the present study, the vacuum drying process of an apple slice is numerically modeled based on a control volume method. Transient two-dimensional Navier– Stokes, energy, moisture, and Luikov equations are solved by numerical coding (Fortran) to simulate the simultaneous heat and mass transfer in the ambient and apple slice, respectively. The privilege of using Luikov's model is that the capillary forces are considered, and a...
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A numerical and experimental analysis of multi-hole orifice in turbulent flow
PublicationIn this research study, the comprehensive metrological analysis is investigated for a 4-hole orifice with module m = 0.25 installed in the pipeline with an internal diameter of 50 mm. A detailed numerical simulation was performed for the turbulence models: k-ε-realizable and k-ω-BSL. The novelties of the research include model validation by comparing the results of numerical studies with the experiment conducted in the area of...
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Experimental and numerical identification of corrosion degradation of ageing structural components
PublicationThe study presents experimental and numerical identification of corrosion degradation of thin-walled structural components employing guided wave propagation. The steel structural components are subjected to through-thickness varying corrosion degradation levels. The developed approach using the non-destructive guided wave-propagation quantifies the equivalent average corrosion degradation level by exploring a limited number of...
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Simplified Numerical Model for Transient Flow of Slurries at Low Concentration
PublicationRapid transients are particularly dangerous in industrial hydro-transport systems, where solid-liquid mixtures are transported via long pressure pipelines. A mathematical description of such flow is difficult due to the complexity of phenomena and difficulties in determining parameters. The main aim of the study was to examine the influence of the simplified mixture density and wave celerity description on satisfactory reproduction...
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Numerical simulation of cold flow and combustion in a swirl stabilized combustor
PublicationA numerical simulation model was developed to investigate the cold flow and combustion using Ansys FLUENT 2021R1. The governing equations were solved using the pressure-based method, and pressure–velocity coupling was performed using the SIMPLE method. To model the turbulent process, the RSM model was used. Non-premixed model is chosen to solve the chemical kinetics between fuel and oxigen. Radiation heat transfer was calculated...
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NUMERICAL MODEL OF PLASTIC DESTRUCTION OF THICK STEEL STRUCTURAL ELEMENTS
PublicationIn the shipbuilding industry, the risk of brittle fracture of the structure is limited by using certified materials with specified impact strength, determined by the Charpy method (for a given design temperature) and by supervising the welding processes (technology qualification, production supervision, non-destructive testing). For off-shore constructions, classical shipbuilding requirements may not be sufficient. Therefore, the...
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Numerical assessment of ultimate strength of severe corroded stiffened plates
PublicationThe objective of this work is to investigate numerically (using the non-linear FEM and the approach stipulated by the Common Structural Rules) the severe nonuniform corrosion degradation effect on the ultimate strength of stiffened plates and compare the results to the already published experimental works. Different factors governing structural behavior of corroded stiffened plates are investigated, such as corrosion degradation level,...
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The role of numerical tests in assessing road restraint system functionality
PublicationKey to understanding the needs and building road infrastructure management tools to prevent and mitigate run-off-road accidents is to identify hazards and their sources which are a result of wrong design, construction, and installation of road restraint systems. Building such tools requires advanced studies with field tests, simulations and models to demonstrate the effects of selected parameters on road user safety. The research...
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Experimental and numerical analysis of an aluminum cantilevered beam with polymer adhesive
PublicationIn this paper, experimental and numerical investigation on a composite cantilevered aluminum beam has been conducted. The subject of the study consists of two plain aluminum elements bonded with polymer adhesive of different thickness. It has been proven in the previous study that this kind of material has high damping properties. During an experimental investigation, value of damping ratios have been obtained. The aim of a numerical...
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Numerical Study of Turbulent Flow and Heat Transfer of Nanofluids in Pipes
PublicationIn this work, Nusselt number and friction factor are calculated numerically for turbulent pipe flow (Reynolds number between 6000 and 12000) with constant heat flux boundary condition using nanofluids. The nanofluid is modelled with the single-phase approach and the simulation results are compared with experimental data. Ethylene glycol and water, 60:40 EG/W mass ratio, as base fluid and SiO2 nanoparticles are used as nanofluid...
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Numerical Characterization of Thresholds for the Focusing 1d Nonlinear Schrödinger Equation
PublicationThe focusing nonlinear Schrödinger equation arises in various physical phenomena and it is therefore of interest to determine mathematical conditions on the initial data that guarantee whether the corresponding solution will blow up in finite time or exist globally in time. We focus on solutions to the mass‐supercritical nonlinear Schrödinger equation (1) in 1D case. In particular, we investigate numerical thresholds between blow...
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Numerical modal analysis of a vertical rising steel water gate
PublicationVertical rising steel water gates are very common not only in Poland and Germany but also in other countries of the world. Their popularity is mainly attributed to their simplicity of construction, which makes their production process cheaper and faster when compared to other solutions. The aim of this paper is to conduct a numerical modal analysis to examine the eigenvalues and eigenmodes of a vertical rising steel gate. Two cases...
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Experimental and numerical studies of double corrugated steel arch panels
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Numerical modeling of force and contact networks in fragmented sea ice
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Numerical modelling of thermodynamics and dynamics of sea ice in the Baltic Sea
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Experimental study and numerical calculations in the analysis of thin-walled structures
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Numerical analysis of high temperature minichannels heat exchanger performance
PublicationNowadays, the most difficult technological challenge in energy sector is connected with the gas micro-CHP units, dedicated to the distributed power generation. They are expected to be of high efficiency and at the same time of compact in size. Regarding the first reason, significant increase in microturbine efficiency can only be achieved by increase in the engine operating temperature. Therefore, one of the critical elements in...
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A conceptual design and numerical analysis of the mixerless urea-SCR system
PublicationIn the present study, an innovative design of the urea-selective catalytic reduction (SCR) system without conventional mixing elements was developed. The aim was to obtain a high degree of urea decomposition, and uniform ammonia distribution at the inlet to the catalyst, while minimising the liquid film deposition and keeping the compact design. The concept of the design was based on creating high turbulences and elongating...
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Numerical modelling of conical wave formation in multimode optical fibers
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Design and numerical study of turbines operating with MDM as working fluid
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Numerical approximations of parabolic functional differential equations on unbounded domains
PublicationSkonstruowano schematy różnicowe zagadnień początkowych dla nieliniowych parabolicznych równań różniczkowo funkcyjnych. Przedstawiono twierdzenie o oszacowaniu błędu rozwiązań przybliżonych dla równań różnicowo funkcyjnych typu Volterry z niewiadomą funkcją kilku zmiennych. Udowodniono twierdzenie o zbieżności jawnych schematów różnicowych. Podano przykłady numeryczne.
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Numerical heat transfer model in skin burn depth simulations
PublicationW artykule przedstawiono numeryczny model wymiany ciepła zachodzącej w tkance skórnej . Wyniki symulacji na modelu zostały porównane z wynikami pomiarów In vivo na zwierzętach.
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Comparison of experimental and numerical results on metallic plates subjected to explosions
PublicationA comparative study of dynamic response including damage and rupture processes of thin metallic plates subjected to shockwave impulses - explosions is presented. The results of the finite element numerical analysis are related to experiments. Due to high strain rate during explosions the elasto-viscoplastic Chaboches constitutive law including damage effects has been applied. For the assumed model proper material parameters identification...
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Numerical modelling and experimental verification of compressible squeeze film pressure
PublicationThe validity of using the Reynolds equation for compressible squeeze film pressure was tested with computational fluid dynamics (CFD). A squeeze film air bearing was instrumented with pressure sensors and non-contacting displacement probes to provide transient measurements of film thickness and pressure. The film thickness measurements also provided input parameters to the numerical prediction. However, numerical results showed...
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Multimode systems of nonlinear equations: derivation, integrability, and numerical solutions
PublicationWe consider the propagation of electromagnetic pulses in isotropic media taking a third-order nonlinearityinto account. We develop a method for transforming Maxwell's equations based on a complete set ofprojection operators corresponding to wave-dispersion branches (in a waveguide or in matter) with thepropagation direction taken into account. The most important result of applying the method is a systemof equations describing the...
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Numerical study of lasing modes of periodically structured active nanowires
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Numerical analysis of the finite amplitude plane wave propagation problem
PublicationRozważano zagadnienie propagacji fali płaskiej o skończonej amplitudzie w środowisku wodnym. Przedstawiono model matematyczny i przykładowe wyniki obliczeń numerycznych. Model matematyczny zbudowano w oparciu o równanie akustyki nieliniowej. Do rozwiązania zagadnienia zastosowano metodę różnic skończonych. Badano wpływ wartości parametrów numerycznych na dokładność obliczeń oraz analizowano wpływ wartości parametrów fizycznych...
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Discussion. Numerical analysis of thin-walled frames with flexible joints
PublicationPrzedstwiono uwagi do artkułu Tews R., Rachowicz W. ''Numerical Analysis of Thin-Walled Frames with Flexible Joints'', Archives of Civil Engineering, 51, 3, 2005, ss. 344-369.
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Numerical assessment of maneuvering properties of ship with a conventional type of propulsion
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Numerical Simulation of Open Channel Flow between Bridge Piers
PublicationPrzedstawiono dwuwymiarowy model przepływu wody płytkiej, który wykorzystano do symulacji przepływu wody w kanale otwartym w rejonie przekroju mostowego. Równania przepływu rozwiązano metodą objętości skończonych. Wyniki symulacji ruchu wody pomiędzy filarami mostowymi porównano z pomiarami laboratoryjnymi przeprowadzonymi w Laboratorium Hydrauliki i Inżynierii Środowiska politechniki Gdańskiej. Zgodność uzyskanych wyników obliczeń...
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Numerical prediction of steady and unsteady tip vortex cavitation on hydrofoils
PublicationArtykuł przedstawia metodę numeryczną do wyznaczania kawitujących wirów wierzchołkowych powstających za płatami nośnymi. Metoda ta jest oparta na rozwiązywanie dwufazowego turbulentnego przepływu cieczy lepkiej. Pozwala ona wyznaczyć geometrię kawitującego wiru dla różnych geometrii płata nośnego i dla różnych parametrów przepływu. Pokazano porównanie wyników obliczeń z pomiarami i rejestracjami wykonanymi na modelu płata w tunelu...