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Modeling Tool for Stiff Heterogeneous Systems

Modeling Tool for Stiff Heterogeneous Systems. 1 Design Technological Institute of Digital Techniques SB RAS, Novosibirsk, Russia, shornikov@inbox.ru. Yury Shornikov 1 , Eugeny Novikov 2. 2 Institute of Computational Modeling SB RAS, Krasnoyarsk, Russia, novikov@icm.krasn.ru.

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Modeling Tool for Stiff Heterogeneous Systems

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  1. Modeling Tool for Stiff Heterogeneous Systems 1 Design Technological Institute of Digital TechniquesSB RAS,Novosibirsk, Russia, shornikov@inbox.ru YuryShornikov1, Eugeny Novikov2 2 Institute of Computational ModelingSB RAS,Krasnoyarsk, Russia, novikov@icm.krasn.ru

  2. Class of Systems Discrete-continuous systems. For example, the constrained pendulum. ; ;

  3. Classes of HS Continuous Behavior

  4. Class of Systems

  5. Traction Electric Drive Structural specification (visual model) Block diagram of traction electric drive of electric loader

  6. Data Import Changing of the motor torque in time

  7. Solving Direct Problems of Chemical Kinetics – reactants – rate constants of stages αijи βij – stoichiometric coefficients 7

  8. Unification of ISMA Software:Integrated Preprocessor 8

  9. Ethane Pyrolysis - concentrations of reactants 9

  10. Biliary System Daily bile secretion Reception Ejection

  11. Biliary System Output intensity of the bile in 12 duodenum Output intensity of the bile into the bile duct Mode «reception» Mode «ejection»

  12. Class of Systems System of differential-algebraic equations (DAE) with constraints:

  13. Ring Modulator* *Kampowski W., Rentrop P., Schmidt W. Classication and numerical simulation of electric circuits // Surveys on Mathematics for Industry, 2(1):23 65, 1992 13

  14. Ring Modulator:Program Model in ISMA 14

  15. Practical Modeling of HS Ring modulator: comparative evaluation *Novikov А.Е., Novikov Е.А., ShornikovY.V. Approximation of Jacobi matrix in (2,2)-method of solving hybrid systems // Report of Academy of Science of Higher School of Russian Federation, 2008, #1(10). – P. 31-44.

  16. Original Explicit, Semi-Explicit and Adaptive Integration Algorithms in the ISMA* *Instrumental tools of computerized analysis (ISMA) / Yu.V. Shornikov, V.S. Druzhinin, N.А. Makarov, K.V. Omelchenko, and I.N. Tomilov // Official registration license for computers No. 2005610126, Мoscow, Rospatent, 2005.

  17. High-Dimensional Models Model of penetration of radioactive labeled antibodies in a tumor affected tissue of a living oragnism (Akzo Nobel Central Research) 17

  18. Text Model in ISMA 18

  19. Dependency of Calculation Time From System Dimension Simulation results from: http://www.dm.uniba.it/~testset/report/medakzo.pdf 19

  20. RADAU5, RKF78ST • Comparison of Solutions Obtained by Explicit and Implicit Methods RADAU5 20

  21. Extending a Class of Systems DAE systems with constraints unresolved for the derivative:

  22. Instrumental Simulation of EPS DostovalovD.N. Program of graphical sheme editor for electro-power systems ISMA EPS (ISMA ElectricPowerSystems) / Yu.V. Shornikov, A.N. Komarichev, D.N. Dostovalov // Certificate of state registration of computer programs #2013617771. M.:  Federal Service for Intellectual Property. - 2013.

  23. Algorithm for Analysis of Implicit Problems* • Problem definition: • Numerical scheme: *NovikovE.A., Yumatova L.A. A few methods for solving of ordinary differential equations unresolved for the derivative // Reports of the Academy of Sciences of the USSR, vol.295, №4, 1987. – pp.809-812.

  24. Event Detection in HS* *1. Novikov E.A., Shornikov Yu.V. Computer simulation of stiff hybrid systems: monograph / Novosibirsk: Publishing house of the NSTU, 2012, 451p. 2. Esposito J., Kumar V., Pappas, G.J.: Accurate event detection for simulating hybrid systems. In: Hybrid Systems: Computation and Control (HSCC). Volume LNCS 2034, Springer–Verlag, 1998.

  25. Event Detection Algorithm

  26. Test of Event Detection Algorithm Modal behavior: Movement a b a) – without taking into account the dynamics of an event function, . b) – using the event-detection algorithm, .

  27. Extending a Class of Systems Continuous behavior of HS is determined by the systems differential-algebraic equations and PDEs.

  28. Thank you for your attention! YuryShornikov1, Eugeny Novikov2 1 Design Technological Institute of Digital TechniquesSB RAS,Novosibirsk, Russia, shornikov@inbox.ru 2 Institute of Computational ModelingSB RAS,Krasnoyarsk, Russia, novikov@icm.krasn.ru

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