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Výpočetní srovnání diskretizační a iterační chyby
Vejchodský, Tomáš
The paper presents the Poisson equation and its solution by the finite element method. A numerical example is show, where besides the exact solution also the exact discrete solution is explicitely known. This allows to compare the discretization error and the error in the approximate solution of the system of linear algebraic system.
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Aplikovatelnost nové metody pro lepší diskretizaci valmi malých hloubek vniku
Musil, Ladislav
The paper deals with tests of a new suggested method for an easier discretisation of thin layers of electromagnetic field penetrating into a conducting material. First the principle of the new method and its derivation is described. Comparison of computation with and without the transformation follows. The comparison is done on several very simple arrangements of induction heating of a ferromagnetic material. The computation were carried out by the FEM based professional code of FEMLAB supplemented with single purpose scripts written by the author in MATLAB and MATHEMATICA.
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Numerické modelování MHD jevu při čerpání tekutých kovů
Büllow, J. ; Doležel, Ivo ; Karban, P. ; Ulrych, B.
The paper deals with the numerical modeling of pumping molten metals based on the principle of the magnetohydrodynamic effect, i.e. force effect of an external stationary current field and magnetic field on an electrically conductive liquid. Described is the physical essence of the effect that represents the starting point for the formulation of its mathematical model. The theoretical analysis is illustrated on two examples. The first pump works with practically uniform electric field in a hydrodynamically less favorable channel of rectangular cross-section while the second one with nonuniform electric field in hydrodynamically more advantageous circular channel. The conclusion is devoted to the discussion about the possibilities of optimization of the device.
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Provozní parametry a charakteristiky aktuátorů s dilatačním prvkem
Doležel, Ivo ; Karban, P. ; Ulrych, B. ; Barglik, J. ; Pantelyat, M. ; Matyukhin, Y. ; Gontarowskiy, P.
In specific applications one needs actuators characterized by very high forces at small shifts. As actuators of classical constructions mostly cannot satisfy these requirements, the authors designed another arrangement with an inductively heated dilatation element. But huge mechanical strains and stresses of thermoelastic origin acting in its structural parts could lead to its damage or destruction. The paper deals with mathematical modeling of the device that is solved numerically in the combined formulation (while the electromagnetic field is solved independently, the thermal and thermoelastic effects are solved in the hard-coupled formulation). The algorithm is illustrated on a typical example whose results are discussed.
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