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Computer Assisted Mechanics and Engineering Sciences
EN Paper summarizes the first results of two-dimensional (2D) numerically modelled expansion and flow of compressible and non-viscous gas in typical parts of air jet weaving system ; namely in main nozzle designed as an ejector with various shapes of the mixing zone, in relay (auxiliary) nozzle with su[...]
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TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
EN This paper presents a numerical algorithm for solving the equation describing variably saturated flow in porous media. The algorithm is based on a control volume finite element approach and can be applied to two-dimensional unstructured meshes consisting of triangular elements. Two methods of defini[...]
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Technical Sciences / University of Warmia and Mazury in Olsztyn
2013 nr 16(2) 93--107
EN This short article presents all basic “closures” that are needed to supplementation the general set of balance equations in form characteristic for the Finite Volume Method. In subsequent chapters the equation of state, viscous molecular stress tensor, turbulent stress tensor, molecular heat flux, t[...]
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Bulletin of the Polish Academy of Sciences. Technical Sciences
EN In this paper we review numerical methods for hydrodynamic equations. Internal complexity make numerical solutions of these equations a formidable task. We present results of advanced numerical simulations for a complex system with a use of a publicly available code, FLASH. These results proof that [...]
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Bulletin of the Polish Academy of Sciences. Technical Sciences
EN In this paper we review several mathematical aspects in numerical methods for magnetohydrodynamic equations. The intrinsic complexity and the requirements of the selenoidity condition make numerical solutions of these equations a formidable task. We present results of advanced numerical simulations [...]
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Archives of Hydro-Engineering and Environmental Mechanics
EN One explicit and three implicit finite volume method schemes of the Roe type are presented in the paper. The properties and applicability of these methods for modelling unsteady, rapidly varied, open channel flow are investigated. The schemes are used for numerical simulation of one-dimensional extr[...]
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Archives of Hydro-Engineering and Environmental Mechanics
EN It has been discovered that the shallow water model based on approximate Riemann solvers can produce unrealistic flows in the case of uneven topography and inaccurate solutions of discharge near hydraulic jumps. To overcome these deficiencies, we proposed a new approach to implement the HLL Riemann[...]
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TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
EN In this paper, an approach using the finite volume method (FVM) for the solution of two-dimensional shallow water equations is described. Such equations are frequently used to simulate dam-break and dike-break induced flows. The applied numerical algorithm of the FVM is based on a wave-propagation a[...]
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International Journal of Applied Mechanics and Engineering
EN Although finite-volume methods have significant advantages in terms of memory usage and computational speed, traditionally finite-element based programs are used to solve complex viscoelastic fluid dynamic problems. This work presents the successful extension of the commercial, finite volume based, [...]
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International Journal of Applied Mathematics and Computer Science
2015 Vol. 25, no. 3 529--537
EN A new very high-order finite volume method to solve problems with harmonic and biharmonic operators for one-dimensional geometries is proposed. The main ingredient is polynomial reconstruction based on local interpolations of mean values providing accurate approximations of the solution up to the si[...]
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TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
EN Both basic computational fluid dynamics methods: the finite element method (FEM) and the finite volume method (FVM) have been used to simulate flow fields in a cross-flow fan (CFF). A review of previous numerical simulations of flow in CFF's is presented. The theorethical foundations of the applied [...]
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TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
EN Double-porosity soils consist of two interacting porous systems corresponding to weakly conductive aggregates and highly conductive inter-aggregate regions. The flow of water in such media can be described with a two-scale model obtained by homogenization. The model consists of a single macroscopic [...]
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Archives of Hydro-Engineering and Environmental Mechanics
EN The numerical analysis of the water flow along the 'Wild River' type water slide is presented. As the mathematical model of the free surface flow shallow water equations are assumed. In order to solve the equations, when transient, rapidly varied flow is present, the numerical scheme based on finite[...]
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Archives of Hydro-Engineering and Environmental Mechanics
EN As it is commonly known, to obtain a good quality Ménard Pressuremeter Test a perfectly drilled borehole (pocket) is required. It should be of proper size, only slightly greater than the diameter of the pressuremeter probe, and its walls should remain undisturbed. Unsatisfactory shapes of pressureme[...]
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Technical Sciences / University of Warmia and Mazury in Olsztyn
2011 nr 14(2) 299-313
PL W artykule przedstawiono wyprowadzenie podstawowych równań bilansowych w formie charakterystycznej dla metody objętości skończonych. Przedstawiono pochodzenie równania bilansu pędu, masy i energii, następnie równania zachowania w formie wektorowej. Metoda objętości skończonych jest stosowana w tzw. [...]
EN The article presents the derivation of the basic balance equations in form characteristic of the Finite Volume Method. In the following sections the origin of the balance equation of momentum, mass and energy is presented. Next, the conservation equations in vector form are described. The Finite Vol[...]
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Przegląd Elektrotechniczny
PL W artykule omówiono zagadnienie numerycznego wyznaczania ustalonego rozkładu temperatury wewnątrz wysokonapięciowego izolatora przepustowego z izolacją papierowo-olejową na podstawie uproszczonego modelu matematycznego. Model uwzględnia nieliniową zależność współczynnika strat dielektrycznych izolac[...]
EN The paper deals with the problem of numerical computation of the steady-state temperature distribution inside a HV bushing with OIP insulation based on a simple mathematical model. In this model the dielectric loss factor depends on the temperature in a non-linear manner and to solve the resulting e[...]
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Archives of Thermodynamics
EN In this paper proposition of application of numerical calculation finite volume method for prediction of the cross flow fan performance curves has been presented. In literature one can find a few attempts to similar problem solutions but the results obtained numerically varied from the experimental [...]
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Archive of Mechanical Engineering
PL Niniejsza praca zawiera próbę uzyskania jednorodnego rozkładu prędkości w strefie wylotowej wentylatora poprzecznego za pomocą płaskiej łopatki zamontowanej obrotowo w osi wirnika. Dla różnych położeń kątowych łopatki wewnętrznej alfa otrzymano zróżnicowane struktury przepływu wewnątrz wentylatora o[...]
EN In this paper the authors present the test carried out to obtain the uniform velocity distribution at the outlet cross section of flow fan. In the investigations the inner flat vane mounted inside of the impeller has been applied. For various angular position of the inner vane, one obtained differen[...]
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Acta Geophysica
EN The simulation of solute transport in rivers is frequently based on numerical models of the Advection-Dispersion Equation. The construction of reliable computational schemes, however, is not necessarily easy. The paper reviews some of the most important issues in this regard, taking the finite volum[...]
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Archive of Mechanical Engineering
PL W pewnych warunkach lotu śmigłowca wiry krawędziowe spływające z końcówek łopat zderzają się z łopatami nadbiegającymi lub przechodzą w ich pobliżu. W wyniku tego zjawiska obciążenie łopat zmienia się w czasie co powoduje wibracje i hałas impulsowy o dużym natężeniu. W pracy badany jest wpływ koncen[...]
EN The aerodynamic and acoustic effects of parallel airfoil-vortex interaction are studied numerically. The Euler equations are solved by means of finite volume method. It was fiund that the lift coefficient only slightly depends on the vortex core radius if the velocity induced at the airfoil surface [...]
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