32 research outputs found
Recent developments in the numerical simulation of shallow water equations I: boundary conditions
No full textShallow water equations (briefly, SWE) provide a model to describe fluid dynamical processes of various nature, and find therefore widespread application in science and engineering. A rigorous mathematical analysis is not available, unless for few specific cases under strict assumptions on the problem's data. In particular, the issue of which kind of boundary conditions are allowed is not completely understood yet. Here we investigate several sets of boundary conditions of physical interest that are admissible from the mathematical viewpoint. By that we mean that, when plugged into the integral form of SWE, these boundary conditions allow the proof of a priori estimates for the unknowns of physical interest: the velocity field and the elevation on the fluid (or its pressure). In our investigation we consider the most general case in which the physical boundary is partitioned into two sets: one closed (this is typically a coast or a shore), the other open (this is a virtual boundary delimiting the domain of investigation). In the latter we further distinguish among inflow and outflow boundary. Several kinds of conditions are investigated on each boundary component. The paper is concluded showing how to achieve a priori estimates corresponding to three different choices of boundary conditions. The correct treatment of boundary terms is crucial for both mathematical and numerical analysis of SWE. The characterization of the set of boundary conditions of physical interest that are mathematically admissible is important in view of the numerical simulation of this kind of phenomena. This paper is the first part of an investigation that the authors have carried out in this field. A second one shows how to implement these boundary conditions in the framework of discrete methods based on a finite element approximation in space, and several kind of time-marching techniques [11]. In particular, the a priori estimates obtained throughout this paper are extended in order to show stability properties for the approximate solution. Numerical experiments based on test cases corresponding to the various sets of boundary conditions considered here are presented in [10,12]. © 1994
Optimal control in heterogeneous domain decomposition methods
No full textSome new domain decomposition methods (DDM) based on optimal control approach are introduced for the coupling of first- and second-order equations on overlapping subdomains. Several cost functionals and control functions are proposed. Uniqueness and existence results are proved for the coupled problem and the convergence of iterative processes is analyzed
Comparison among finite element, finite volume and finite difference approximation to shallow water equations
No full textImpact of termogidroprocedure to the physical health and functional capacity of student’s organism
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IMPACT OF TERMOGIDROPROCEDURE TO THE PHYSICAL HEALTH AND FUNCTIONAL CAPACITY OF STUDENT'S ORGANISM
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<td>Authors</td>
<td><strong> Agoshkov V.V. </strong> <br> [email protected] <br> Belgorod State National Research University <br> Victory Str. 85, Belgorod, 308015, Russia <br> <br> <strong> Rumba O.G. </strong> <br> [email protected] <br> Belgorod State National Research University <br> Victory Str. 85, Belgorod, 308015, Russia </td>
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<td>Abstract</td>
<td>The aspects of the use are considered athletic-health-improvement technologies of termogidrotrenings for the increase of functional possibilities and somatic health of students. 12 boys and 16 girls took part in research. Testing of physical development, functional trained, physical preparedness and somatic health of students is conducted. The health swimming was used in combination with the dosed contrasting shower. Also bath-house procedures with dousing cold water. The increase of level of general physical capacity of students is set. It is marked that the use of technology of termogidrotrenings is instrumental in the increase of level of adaptation possibilities of organism of students. The optimum variant of the use of technology is recommended: 32 planned employment after a physical culture with the health swimming; 16 additional bath-house procedures with dousing; 16 independent employments.</td>
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<td>Key words</td>
<td>termogidrotrenings; water treatment; bath; thermoregulation; health; technology;</td>
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<td>References</td>
<td><strong>Biriukov A.A. <em>Eta volshebnica bania</em> [This enchantress bath], Moscow, Soviet sport, 1991, 110 p. </strong><br><br> <strong>Bogoeva M.D., Rumba O.G., Gorelov A.A. <em>Postroenie processa fizicheskogo vospitaniia studentov special'noj medicinskoj gruppy s ogranichennymi vozmozhnostiami serdechno-sosudistoj sistemy</em> [Construction of process of students' physical education of task medical force with the limited possibilities of the cardiovascular system], Belgorod, IPTS "Politerra", 2011, 172 p. </strong><br><br> <strong>Burovykh A.N., Zotov V.P. <em>Celebnyj zhar</em> [Healthful heat], Kiev, Health, 1984, 104 p. </strong><br><br> <strong>Vilenskij M.IA., Minaev B.N. <em>Teoriia i praktika fizicheskoj kul'tury</em> [Theory and practice of physical culture], 1976, vol.7, pp. 53-57. </strong><br><br> <strong>Dribinskij P. <em>Vospitanie shkol'nikov</em> [Education of schoolchildren], 2008, vol.8, pp. 28-31. </strong><br><br> <strong>Kafarov K.A., Biriukov A.A. <em>Bani i zdorov'e</em> [Bath-houses and health], Moscow, Medicine, 1982, 174 p. </strong><br><br> <strong>Kondakov V. L., Goncharuk S.V. <em>Teoriia i praktika fizicheskoj kul'tury</em> [Theory and practice of physical culture], 2007, pp. 15 - 19. </strong><br><br> <strong>Korobkov A.V., Golovin V.A., Masliakov V.A. <em>Fizicheskoe vospitanie</em> [Physical education], Moscow, High school, 1983, 278 p. </strong><br><br> <strong>Laptev A.P. <em>Zakalivajtes' na zdorov'e</em> [Harden on a health], Moscow, Medicine, 1991, 160 p. </strong><br><br> <strong>Lotonenko A.V. <em>Formirovanie fizicheskoj kul'tury molodezhi: teoriia, metodologiia, praktika</em> [Forming of physical culture of young people: theory, methodology, practice], Moscow, 1999, 92 p. </strong><br><br> <strong>Podshibiakin A.K. <em>Zakalivanie cheloveka</em> [Hardening of man], Kiev, Health, 1986, 115 p. </strong><br><br> <strong>Popov S.N. <em>Lechebnaia fizicheskaia kul'tura</em> [Medical physical culture], Moscow, 2009, 416 p. </strong><br><br> <strong>Rejzin V.M., Ishchenko A.S. <em>Fizicheskaia kul'tura v zhizni studenta</em> [Physical culture in life of student], Minsk, Higher school, 1986, 194 p. </strong><br><br> <strong>Tikhonova A.Ia. <em>Teoriia i praktika fizicheskoj kul'tury</em> [Theory and practice of physical culture], 1983, vol.8, pp.17-18. </strong><br><br> <strong>Cherepova A.Iu. <em>Ozdorovitel'noe plavanie v semejnykh gruppakh</em> [The health swimming in domestic groups], Saint Petersburg, 2000, 52 p. </strong><br><br> <strong>Shaguch A.A. <em>Kompleksnoe ispol'zovanie fizicheskikh uprazhnenij i sredstv zakalivaniia na zaniatiiakh fizicheskim vospitaniem v vuze</em> [Complex use of physical exercises and facilities of hardening on employments by physical education in the higher institute], Cand. Diss., Maikop, 1997, 118 p. </strong><br><br> <strong>Aaland M. <em>Sweat</em>. Capra Press. Santa Barbara, California, 1978, 252 p. </strong><br><br> <strong>Milligan S. F., <em>Ansient Irish Hot-Air Bath</em>., Milligan S. F., Royal Hister J. Ass. Of Ireland, IX, Dublin, 1980, 240 p. </strong><br><br></td>
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<td>First page</td>
<td>5</td>
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<td>Last page</td>
<td>9</td>
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<td>Volume</td>
<td>6</td>
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<td>Year</td>
<td>2012</td>
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<td>doi:</td>
<td>10.6084/m9.figshare.96560</td>
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<td>Title of Journal</td>
<td><strong> Fiziceskoe vospitanie studentov=Physical Education of Students </strong></td>
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<td>Article</td>
<td><a href="http://nbuv.gov.ua/portal/Soc_Gum/PhVSTS/2012_6/12avvcso.pdf"> <strong>PDF, full text</strong> </a></td>
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<td>Journal</td>
<td><a href="http://www.sportedu.org.ua/html/journal/2012-N6/index-e.html"> <strong>HTML, Contents</strong> </a></td>
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Problems of computational mathematics and mathematical modelling /
No full textIncludes bibliographies.A generalized conjugate gradient method in a subspace and its applications / G. I. Marchuk and Yu. A. Kuznetsov -- Problems of projection-grid methods in transport theory / by G. I. Marchuk and V. I. Agoshkov -- Variational forms of problems in transport theory / by V. I. Agoshkov and V. V. Smelov -- Vector algorithms and randomization of Monte Carlo methods / by B. A. Kargin e. a. -- Numerical simulation of a large-scale atmospheric and oceanic circulation / by G. I. Marchuk e. a. -- Methods of mathematical modelling of sea and oceanic processes / by A. S. Sarkisyan e. a. -- Optimization models for environmental protection / by V. V. Penenko e. a. -- Mathematical modelling of infectious diseeases / by G. I. Marchuk, L. N. Belykh, and S. M. Zuev -- Software for designing electrophysical devices / by V. P. Ilyin e. a
