Труды сотрудников ИВМ СО РАН

[Электронный ресурс]. - Электрон. дан. (499 Кб) : диссертации на соискание ученой степени кандидата-физико математических наук (перевод на английский язык) / А.Н. Горбань. - Электрон. дан. (499 Кб). - [Б. м. : б. и.], 1997. - Б. ц.
Аннотация: The paper gives the systematic analysis of singularities of transition processes in general dynamical systems. Dynamical systems depending on parameter are studied. A system of relaxation times is constructed. Each relaxation time depends on three variables: initial conditions, parameters k of the system and accuracy ? of relaxation. This system of times contains: the time before the first entering of the motion into ?-neighbourhood of the limit set, the time of final entering in this neighbourhood and the time of stay of the motion outside the ?-neighbourhood of the limit set. The singularities of relaxation times as functions of (x0; k) under fixed ? are studied. A classification of different bifurcations (explosions) of limit sets is performed. The bifurcations fall into those with appearance of new limit points and bifurcations with appearance of new limit sets at finite distance from the existing ones. The relations between the singularities of relaxation times and bifurcations of limit sets are studied. The peculiarities of dynamics which entail singularities of transition processes without bifurcations are described as well. The peculiarities of transition processes under perturbations are studied. It is shown that the perturbations simplify the situation: the interrelations between the singularities of relaxation times and other peculiarities of dynamics for general dynamical system under small perturbations are the same as for smooth two-dimensional structural stable systems.

http://icm.krasn.ru/refextra.php?id=2806


Доп.точки доступа:
Gorban A.N.
Свободных экз. нет

[Electronic resource]. - Electronic data (232 Kb) : статья / A.N. Gorban, Y.I. Shokin, V.I. Verbitskii. - Electronic data (232 Kb) // arXiv:physics/9702021 . - 1997
   Перевод заглавия: Совместно диссипативные операторы и инфинитиземальный эффект Мура в интервальных пространствах
Аннотация: In solving a system of ordinary differential equations by an interval method the approximate solution at any considered moment of time t represents a set (called interval) containing the exact solution at the moment t. The intervals determining the solution of a system are often expanded in the course of time irrespective of the method and step used. ??The phenomenon of interval expansion, called the Moore sweep effect, essentially decreases the efficiency of interval methods. In the present work the notions of the interval and the Moore effect are formalized and the Infinitesimal Moore Effect (IME) is studied for autonomous systems on positively invariant convex compact. With IME the intervals expand along any trajectory for any small step, and that means that when solving a system by a stepwise interval numerical method with any small step the interval expansion takes place for any initial data irrespective of the applied method. The local conditions of absence of IME in terms of Jacoby matrices field of the system are obtained. The relation between the absence of IME and simultaneous dissipativity of the Jacoby matrices is established, and some sufficient conditions of simultaneous dissipativity are obtained. (The family of linear operators is simultaneously dissipative, if there exists a norm relative to which all the operators are dissipative.)??

http://icm.krasn.ru/refextra.php?id=2093,
Полный текст

Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Shokin, Y.I.; Шокин, Юрий Иванович; Verbitskii, V.I.; Вербицкий В.И.; Горбань, Александр Николаевич

[Text] : alternative Grad equations / A.N. Gorban, I.V. Karlin // Physical Review E. - 1996. - Vol. 54, № 4. - p. R3109-R3112
   Перевод заглавия: Скорости рассеяния вместо моментов. Альтернативные уравнения Грэда
Аннотация: Scattering rates moments of collision integral! are treated as independent variables, and as an alternative to moments of the distribution function, to describe the rarefied gas near local equilibrium. A version of the entropy maximum principle is used to derive the Grad-like description in terms of a finite number of scattering rates. The equations are compared to the Grad moment system in the heat nonconductive case. Estimations for hard spheres demonstrate, in particular, some 10% excess of the viscosity coefficient resulting from the scattering rate description, as compared to the Grad moment estimation.

http://icm.krasn.ru/refextra.php?id=69,
Полный текст

Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Karlin, I.V.; Карлин, Илья Вениаминович; Горбань, Александр Николаевич

[Text]. - Electronic text data (73 Kb)
. - Режим доступа: http://icm.krasn.ru/refextra.php?id=1515. - Электрон. версия печ. публикации . - Режим доступа: http://library.krasn.ru/trudy/2000/1515lab23eng_28.pdf (Полный текст) : статья / A.N. Mierau, V.A. Derevyanko, A.N. Vasilyev. - Electronic text data (73 Kb) // X International Conference on the Methods of Aerophysical Research. - Novosibirsk, 2000. - Part III. - p. 143-149
Аннотация: Nowadays both in Russia and abroad active research has been conducted on developing perspective hypersonic aerospace aircraft. The developing of such aircraft would allow to essentially expand aircraft possibilities and to reduce delivery cost of goods to the near-earth orbit. In many countries of the world there are programs of creation of hypersonic aircraft such as: HOTOL in Great Britain, NASP in USA, HERMES in France. One of key while conducting these projects is the creation of a hypersonic ramjet engine having necessary propulsive, mass and dimensional characteristics with all altitude range and flight velocities of an aircraft. The basic difficulties, in development of such engine types are caused by substantial of deterioration of quality of fuel mixture with an oxidant under supersonic flow velocities in the combustion chamber, which results in decrease of an engine efficiency and deterioration of its propulsion. To increase the efficiency of HRE with the supersonic flow velocity in the combustion chamber the authors offered MHD control of gas flow in the channel HRE based on creation in a stream of local plasma areas with temperature 104 K interacting with an external magnetic field [1], [2]. The work presents investigation results for the structure of non-stationary gas-dynamic flow in the channel HRE with MHD - control. It also describes the calculation of propulsion performance characteristics of the given engine on the basis of mathematical simulation of processes, which take place in the channel of an engine. Thee work objective was the research of non-stationary periodic flow with heat application in the tract HRE with MHD - control on the basis of mathematical modeling of processes which take place in the channel of an engine and the calculation of propulsion performance characteristics of an engine. In the work the model HRE including the air intake, MHD - channel and nozzle was considered. The MHD - channel is made of two flat electrodes and sidewalls from a dielectric. The local constant flow heat permitting to create periodical local plasma areas (T- layer) is provided with the systems of initiation the constant magnetic field in the volume of the channel is ensured with an external magnetic system.

http://icm.krasn.ru/refextra.php?id=1515,
Полный текст

Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Derevyanko, V.A.; Деревянко, Валерий Александрович; Vasilyev, A.N.; Васильев А.Н.

[Текст] = Simulation and optimization of engeneering systems with distributed parametres : учебное пособие / Н. Д. Демиденко, Л. В. Кулагина. - Красноярск : КГТУ, 2006. - 210 с. : ил. - (Ресурсосбережение и экологическая безопасность = РЭБ). - Парал. загл. на англ. - Библиогр.: с. 210. - ISBN 5-7636-0411-3 : Б. ц.

УДК	[665.63+662.764]:62-50

ББК В18

Аннотация: Изложены основные положения теории и методов моделирования и оптимального управления для систем с распределенными параметрами. Приведены математические модели процессов тепломассопередачи в технологических установках. Сформулированы краевые задачи для анализа нестационарных режимов процессов теплообмена, разделения многокомпонентных смесей и горения. Рассмотрены задачи оптимального управления технологическими установками и методы их решения. Теоретические проблемы моделирования и оптимизации решены для некоторых конкретных объектов промышленности. Также даны контрольные вопросы и задачи, позволяющие закрепить теоретические знания и развить практические навыки решения задач по автоматизации технических систем. Предназначено для студентов специальностей "Тепловые электрические станции", "Промышленная теплоэнергетика", "Энергетика теплотехнологий" направления подготовки дипломированных специалистов "Теплоэнергетика", а также может быть полезным для студентов специальностей "Прикладная математика", "Автоматизация систем обработки информации и управление", "Системный анализ и управление"
Basic aspects of the theory and methods for simulation and optimal control for systems with distributed parameters are stated. Mathematical models of heat and mass transfer processes in processing systems are given. Boundary problems for the analysis of unsteadly conditions of heat exchange processes, segregation of multicomponent mixes and their burning are formulated. Tasks of technological installations optimal control and solution methods are considered. Theoretical issues of simulating and optimization are solved for industrial abstract entities. Control questions and test tasks which allow mastering theoretical knowledge and developing practical skills in solving tasks on technical systems automation are also presented. Intended for the students of Specialties "Heat Power Stations", "Industrial Thermal Power Engineering", "Power Engineering of Heat Technologies" of the under-graduate studies education field "Thermal Power Engineering", and also can be useful to students of specialties "Applied Mathematics", "Automation of Information Processing Systems and Controlling", "System Analysis and Controlling"


Доп.точки доступа:
Кулагина, Л.В. Др
Свободных экз. нет

[Text] : статья / M.G. Sadovskii, N.A. Zaitseva, Yu.A. Putintseva // Proceedings of The Third International Conference on Bioinformatics, Biocomputational Systems and Biotechnologies. - 2011. - p. 61-66 . - ISBN 978-1-61208-007-9

Полный текст

Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Zaitseva, N.A.; Putintseva, Yu.A.; Путинцева Ю.А.; Садовский, Михаил Георгиевич

[Text] : статья / E. A. Novikov // Automation and Remote Control. - 2012. - Vol. 73, Iss. 1. - p. 191-197DOI 10.1134/S0005117912010183 . -
Аннотация: An L-stable (2,1)-method with second-order accuracy is developed for solving stiff nonautonomous problems. At each step, the right-hand side of the system, as well as Jacobian matrix decomposition are evaluated only once. Efficiency of the integration method is illustrated using ring modulator calculation as an example.

Полный текст на сайте правообладателя


Доп.точки доступа:
Новиков, Евгений Александрович

[Текст] : статья / A.N. Rogalev // Optoelectronics, Instrumentation and Data Processing, Allerton Press. - 2011. - Vol. 47, Iss. 3. - p. 287-296, DOI 10.3103/S8756699011030125 . - ISSN 8756-6990
Аннотация: It is noted that, in many cases, object control is performed under conditions of a prior uncertainty in external actions and uncertainty in the current state of the object. Guaranteed methods are described which provide quantitative estimates of the boundaries of all possible phase states of a system taking into account all actions. Examples of calculations of inclusions of reachable sets are given.

Полный текст на сайте правообладателя


Доп.точки доступа:
Рогалев, Алексей Николаевич

[Text] : статья / V.B. Bekezhanova // Journal of Applied Mechanics and Technical Physics. - 2011. - Vol. 52, Iss. 1. - p. 74-81DOI 10.1134/S0021894411010111 . -
Аннотация: An exact solution is obtained for the problem of steady flow in a system of two horizontal layers of immiscible fluids with a common interface. The stability of the flow is studied by a linearization method. It is shown that the occurrence of instabilities is due to the different governing parameters of the fluids (thickness, heating conditions, viscous and thermal conductivity of the fluids). It is found that under constant gravity conditions, the perturbations are monotonic, and in zero gravity, oscillatory thermocapillary instability occurs.

Полный текст на сайте правообладателя


Доп.точки доступа:
Бекежанова, Виктория Бахытовна

[Текст] : статья / Н.А. Зайцева и др. // Functional Genomics. Next Generation Applications & Technologies. - 2011. - p. 76


Доп.точки доступа:
Садовский, Михаил Георгиевич; Sadovskii M.G.

[Electronic resource]. - Electronic text data : статья / A. N. Gorban. - Electronic text data // Electronic Journal of Differential Equations. - 1997. - Translation of Candidat (Ph.D) Thesis
Аннотация: The paper gives a systematic analysis of singularities of transition processes in dynamical systems. General dynamical systems with dependence on parameter are studied. A system of relaxation times is constructed. Each relaxation time depends on three variables: initial conditions, parameters k of the system and accuracy ε of the relaxation. The singularities of relaxation times as functions of (x0,k) under fixed ε are studied. The classification of different bifurcations (explosions) of limit sets is performed. The relations between the singularities of relaxation times and bifurcations of limit sets are studied. The peculiarities of dynamics which entail singularities of transition processes without bifurcations are described as well. The analogue of the Smale order for general dynamical systems under perturbations is constructed. It is shown that the perturbations simplify the situation: the interrelations between the singularities of relaxation times and other peculiarities of dynamics for general dynamical system under small perturbations are the same as for the Morse-Smale systems.

Полный текст

Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Горбань, Александр Николаевич

/ H. Lammer [et al.] // Mon. Not. Roy. Astron. Soc. - 2013. - Vol. 430, Is. 2. - P1247-1256, DOI 10.1093/mnras/sts705. - Cited References: 85. - NVE, KGK, MLK and HL acknowledge the support by the FWF NFN project S116 'Pathways to Habitability: From Disks to Active Stars, Planets and Life', and the related FWF NFN subprojects, S116 606-N16 'Magnetospheric Electrodynamics of Exoplanets' and S116607-N16 'Particle/Radiative Interactions with Upper Atmospheres of Planetary Bodies Under Extreme Stellar Conditions'. KGK, HL and PO thank also the Helmholtz Alliance project 'Planetary Evolution and Life'. ML and PO acknowledge support from the FWF project P22950-N16. NVE acknowledges support by the RFBR grant No 12-05-00152-a. The authors also acknowledge support from the EU FP7 project IMPEx (No. 262863) and the EUROPLANET-RI projects, JRA3/EMDAF and the Na2 science working group WG5. The authors thank the International Space Science Institute (ISSI) in Bern, and the ISSI team 'Characterizing stellar- and exoplanetary environments'. Finally, we thank an anonymous referee for interesting suggestions and recommendations which helped to improve the article. . - 10. - ISSN 0035-8711РУБ Astronomy & Astrophysics

Аннотация: The discovery of transiting 'super-Earths' with inflated radii and known masses, such as Kepler-11b-f, GJ 1214b and 55 Cnc e, indicates that these exoplanets did not lose their nebula-captured hydrogen-rich, degassed or impact-delivered protoatmospheres by atmospheric escape processes. Because hydrodynamic blow-off of atmospheric hydrogen atoms is the most efficient atmospheric escape process we apply a time-dependent numerical algorithm which is able to solve the system of 1D fluid equations for mass, momentum and energy conservation to investigate the criteria under which 'super-Earths' with hydrogen-dominated upper atmospheres can experience hydrodynamic expansion by heating of the stellar soft X-rays and extreme ultraviolet (XUV) radiation and thermal escape via blow-off. Depending on orbit location, XUV flux, heating efficiency and the planet's mean density our results indicate that the upper atmospheres of all 'super-Earths' can expand to large distances, so that except for Kepler-11c all of them experience atmospheric mass-loss due to Roche lobe overflow. The atmospheric mass loss of the studied 'super-Earths' is one to two orders of magnitude lower compared to that of 'hot Jupiters' such as HD 209458b, so that one can expect that these exoplanets cannot lose their hydrogen envelopes during their remaining lifetimes.


Доп.точки доступа:
Lammer, H.; Erkaev, N.V.; Еркаев, Николай Васильевич; Odert, P.; Kislyakova, K.G.; Leitzinger, M.; Khodachenko, M.L.

/ O.V. Kaptsov [et al.] // J. Appl. Mech. Tech. Phys. - 2012. - Vol. 53, Is. 5. - pp. 672-678, DOI 10.1134/S0021894412050069. - Cited References: 16. - This work was supported by the Russian Foundation for Basic Research (Grants Nos. 10-01-00435-a and 11-01-09368-mob_z), by the Council on Grants of the President of the Russian Federation for Support of Leading Scientific Schools (Grants Nos. NSh-544.2012.1 and NSh-6293.2012.9), and by the Russian Academy of Sciences (Integration Project No. 103 (Siberian, Far-East, and Ural Branches)). . - 7. - ISSN 0021-8944РУБ Mechanics + Physics, Applied

Аннотация: A mathematical model of the far turbulent wake behind a towed body in a passively stratified medium, based on the known semi-empirical e-E > model of turbulence, is considered. A grouptheoretical analysis of the model is performed. With the help of the method of B-determining equations, the model is reduced to a system of ordinary differential equations, which is solved numerically. The resultant solution is compared with a self-similar solution obtained by direct numerical integration of the differential equations at large distances from the body.


Доп.точки доступа:
Kaptsov, O.V.; Капцов, Олег Викторович; Fomina, A.V.; Chernykh, G.G.; Schmidt, A.V.; Шмидт, Алексей Владимирович

/ N.V. Erkaev, V.S. Semenov, H.K. Biernat // Phys. Plasmas. - 2012. - Vol. 19, Is. 6. - Ст. 62905, DOI 10.1063/1.4725506. - Cited References: 22. - This work is supported by RFBR Grants Nos. 12-05-00152-a and 12-05-00918-a, and also by St. Petersburg University grant. V. S. S. and H. K. B. are supported from the FP7 Programme under Grant No. 269198-Geoplasmas (Marie Curie Exchange Scheme). Additional support is due to the Austrian "Fonds zur Forderung der wissenschaftlichen Forschung" under Project I 193-N16 and the "Verwaltungsstelle fur Auslandsbeziehungen" of the Austrian Academy of Sciences. . - ISSN 1070-664XРУБ Physics, Fluids & Plasmas

Аннотация: Magnetic filament approach is applied for modeling of nonlinear "kink"-like flapping oscillations of thin magnetic flux tubes in the Earth's magnetotail current sheet. A discrete approximation for the magnetic flux tube was derived on a basis of the Hamiltonian formulation of the problem. The obtained system of ordinary differential equations was integrated by method of Rosenbrock, which is suitable for stiff equations. The two-dimensional exact Kan's solution of the Vlasov equations was used to set the background equilibrium conditions for magnetic field and plasma. Boundary conditions for the magnetic filament were found to be dependent on the ratio of the ionospheric conductivity and the Alfven conductivity of the magnetic tube. It was shown that an enhancement of this ratio leads to the corresponding increase of the frequency of the flapping oscillations. For some special case of boundary conditions, when the magnetic perturbations vanish at the boundaries, the calculated frequency of the "kink"-like flapping oscillations is rather close to that predicted by the "double gradient" analytical model. For others cases, the obtained frequency of the flapping oscillations is somewhat larger than that from the "double gradient" theory. The frequency of the nonlinear flapping oscillations was found to be a decreasing function of the amplitude. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4725506]


Доп.точки доступа:
Erkaev, N.V.; Еркаев, Николай Васильевич; Semenov, V.S.; Biernat, H.K.

[Text] / T.G. Penkova, A.V. Korobko, V.V. Nicheporchuk // MIPRO 2012 - 35th International Convention on Information and Communication Technology, Electronics and Microelectronics - Proceedings. - 2012. - 35th International Convention on Information and Communication Technology, Electronics and Microelectronics, MIPRO 2012 (21 May 2012 through 25 May 2012, Opatija) Conference code: 91931. - Ст. 6240906. - pp. 1595-1600 . -
Аннотация: An approach to efficiency improvement of monitoring of the emergency situations for the Siberian region is suggested in this paper. It is based on integration of data processing and storage technologies: Data Warehouse, OLAP and Expert systems. The data warehouse provides accumulation of data from isolated monitoring services. The OLAP tools allow a user to perform multiaspect monitoring of natural and anthropogenic emergency situations. The expert systems technology enables user to estimate of the emergencies risk based on state indicators. Suggested original methods and tools are embedded in emergency situations monitoring system "Espla-M". The system "Espla-M" is implemented in Ministry of emergency of Siberian Region. В© 2012 MIPRO.

Scopus


Доп.точки доступа:
Penkova, T.G.; Пенькова, Татьяна Геннадьевна; Korobko, A.V.; Коробко, Анна Владимировна; Nicheporchuk, V.V.; Ничепорчук, Валерий Васильевич

[Text] / E.D. Karepova, V.V. Shaidurov // Russ. J. Numer. Anal. Math. Model. - 2000. - Vol. 15, Is. 2. - pp. 167-182, DOI 10.1515/rnam.2000.15.2.167. - Cited References: 8 . - ISSN 0927-6467РУБ Engineering, Multidisciplinary + Mathematics, Applied

Аннотация: We consider the Galerkin piecewise linear finite element method for an ordinary convection-diffusion boundary value problem with a small parameter in front of the highest derivative. For the generation of a discrete linear algebraic system we use the special quadrature formulae that take into account the boundary layer character of the solution. It is proved that the resulting discrete problem is of epsilon(2) + h(2)-order of accuracy in the uniform discrete norm for small h and epsilon. The numerical example shows the advantage of the considered discrete scheme over two commonly used difference schemes.


Доп.точки доступа:
Karepova, E.D.; Карепова, Евгения Дмитриевна; Shaidurov, V.V.; Шайдуров, Владимир Викторович

[Text] / E. D. Karepova [et al.] // Computational Science and High Performance Computing II. Ser. NOTES ON NUMERICAL FLUID MECHANICS AND MULTIDISCIPLINARY DESIGN : SPRINGER-VERLAG BERLIN, 2006. - Vol. 91: 2nd Russian/Germany Advanced Research Workshop on Computational Science and High Performance Computing (MAR 14-16, 2005, Stuttgart, GERMANY). - pp. 41-54. - Cited References: 4 . - ISBN 3-540-31767-8РУБ Computer Science, Interdisciplinary Applications + Computer Science, Theory & Methods + Mathematics, Applied

Аннотация: A boundary value problem for the Navier-Stokes equations for a viscous heat conducting gas in a finite computational domain is considered. The space approximation is constructed with the use of the Bubnov-Galerkin method combined with the method of lines. The parallel realization of this method is discussed for multiprocessor computational system.


Доп.точки доступа:
Karepova, E.D.; Карепова, Евгения Дмитриевна; Malyshev, A.V.; Малышев, Андрей Валерьевич; Shaidurov, V.V.; Шайдуров, Владимир Викторович; Shchepanovskaya, G.I.; Щепановская, Галина Ивановна; Krause, E \ed.\; Shokin, Y \ed.\; Resch, M \ed.\; Resch, \ed.\

[Text] / E.D. Karepova, V.V. Shaidurov // RECENT ADVANCES IN FLUID MECHANICS. Ser. WSEAS Mechanical Engineering Series : WORLD SCIENTIFIC AND ENGINEERING ACAD AND SOC, 2009. - 6th WSEAS International Conference on Fluid Mechanics (JAN 10-12, 2009, Ningbo, PEOPLES R CHINA). - pp. 121-125. - Cited References: 0 . - ISBN 978-960-474-040-6РУБ Engineering, Mechanical + Mathematics, Applied

Аннотация: In this paper the Navier-Stokes equations are solved for heat-conductive medium. At first the system of equations are equivalently transformed and then discretized by bilinear finite elements in space and by Crank-Nicholson scheme in time. It produces stable scheme with low artificial viscosity.


Доп.точки доступа:
Karepova, E.D.; Карепова, Евгения Дмитриевна; Shaidurov, V.V.; Шайдуров, Владимир Викторович

[Text] / W.M. Mooij [et al.] // Aquat. Ecol. - 2010. - Vol. 44, Is. 3. - pp. 633-667, DOI 10.1007/s10452-010-9339-3. - Cited References: 260. - WM, RG, IP, SG, PV and AD were supported by grant 047.017.012 of the Netherlands Organization for Scientific Research (NWO) and the Russian Foundation for Basic Research (RFBR). LDSD was supported by NWO grant 817.01.007. DT and EJ were supported by EU-REFRESH, EU-WISER, CLEAR (a Villum Kann Rasmussen Centre of Excellence Project on lake restoration) and CRES. We thank Prof. Andre De Roos for his insightful comments and Dr. Tom Andersen for his contribution to the text. JJ wishes to thank Drs. T. Aldenberg, Dr. L. Van Liere, Mr. M.J. 't Hart, Ir. M.H.J.L Jeuken, Ing. S. van Tol, Ir. J.S. Sloot and many others including the many people who provided lake data, for their contributions to PCLake. This is publication 4838 of the Netherlands Institute of Ecology (NIOO-KNAW). . - ISSN 1386-2588РУБ Ecology + Limnology + Marine & Freshwater Biology

Аннотация: A large number and wide variety of lake ecosystem models have been developed and published during the past four decades. We identify two challenges for making further progress in this field. One such challenge is to avoid developing more models largely following the concept of others ('reinventing the wheel'). The other challenge is to avoid focusing on only one type of model, while ignoring new and diverse approaches that have become available ('having tunnel vision'). In this paper, we aim at improving the awareness of existing models and knowledge of concurrent approaches in lake ecosystem modelling, without covering all possible model tools and avenues. First, we present a broad variety of modelling approaches. To illustrate these approaches, we give brief descriptions of rather arbitrarily selected sets of specific models. We deal with static models (steady state and regression models), complex dynamic models (CAEDYM, CE-QUAL-W2, Delft 3D-ECO, LakeMab, LakeWeb, MyLake, PCLake, PROTECH, SALMO), structurally dynamic models and minimal dynamic models. We also discuss a group of approaches that could all be classified as individual based: super-individual models (Piscator, Charisma), physiologically structured models, stage-structured models and traitbased models. We briefly mention genetic algorithms, neural networks, Kalman filters and fuzzy logic. Thereafter, we zoom in, as an in-depth example, on the multi-decadal development and application of the lake ecosystem model PCLake and related models (PCLake Metamodel, Lake Shira Model, IPH-TRIM3D-PCLake). In the discussion, we argue that while the historical development of each approach and model is understandable given its 'leading principle', there are many opportunities for combining approaches. We take the point of view that a single 'right' approach does not exist and should not be strived for. Instead, multiple modelling approaches, applied concurrently to a given problem, can help develop an integrative view on the functioning of lake ecosystems. We end with a set of specific recommendations that may be of help in the further development of lake ecosystem models.


Доп.точки доступа:
Mooij, W.M.; Trolle, D.; Jeppesen, E.; Arhonditsis, G.; Belolipetsky, P.V.; Белолипецкий, Павел Викторович; Chitamwebwa, D.B.R.; Degermendzhy, A.G.; DeAngelis, D.L.; Domis, L.N.D.; Downing, A.S.; Elliott, J.A.; Fragoso, C.R.; Gaedke, U.; Genova, S.N.; Генова, Светлана Николаевна; Gulati, R.D.; Hakanson, L.; Hamilton, D.P.; Hipsey, M.R.; 't Hoen, J.; Hulsmann, S.; Los, F.H.; Makler-Pick, V.; Petzoldt, T.; Prokopkin, I.G.; Rinke, K.; Schep, S.A.; Tominaga, K.; Van Dam, A.A.; Van Nes, E.H.; Wells, S.A.; Janse, J.H.

[Text] / V.K. Andreev // J. Appl. Mech. Tech. Phys. - 2010. - Vol. 51, Is. 4. - pp. 497-509, DOI 10.1007/s10808-010-0066-2. - Cited References: 6. - This work was supported by the Russian Foundation for Basic Research (Grant No. 08-01-00762) and Interdisciplinary Integration Project of the Siberian Division of the Russian Academy of Science No. 65. . - ISSN 0021-8944РУБ Mechanics + Physics, Applied

Аннотация: This paper studies an invariant solution of the problem of joint motion of two heat-conducting viscous immiscible fluids which have a common interface in a cylindrical tube under an unsteady pressure gradient. The problem reduces to a coupled initial-boundary-value problem for parabolic equations. A priori estimates of velocity and temperature perturbations are obtained. The steady state of the system is determined, and it is proved that if, in one of the fluids, the pressure gradient rapidly approaches zero, the perturbations of all quantities tend to zero. It is shown that if the pressure gradient has a nonzero limit, the solution reaches a steady state. In this case, the velocity field in the limit is the same as in conjugate Poiseuille flow, and the temperature is represented as a polynomial of the fourth order on the radial coordinate.


Доп.точки доступа:
Андреев, Виктор Константинович