Article | Proceedings of the 10<sup>th</sup> International Modelica Conference; March 10-12; 2014; Lund; Sweden | Restarting algorithms for simulation problems with discontinuities
Göm menyn

Title:
Restarting algorithms for simulation problems with discontinuities
Author:
Fatemeh Mohammadi: Numerical Analysis, Center of Mathematical Sciences, Lund University, Lund, Sweden Carmen Arévalo: Numerical Analysis, Center of Mathematical Sciences, Lund University, Lund, Sweden Claus Führer: Numerical Analysis, Center of Mathematical Sciences, Lund University, Lund, Sweden
DOI:
10.3384/ecp14096819
Download:
Full text (pdf)
Year:
2014
Conference:
Proceedings of the 10th International Modelica Conference; March 10-12; 2014; Lund; Sweden
Issue:
096
Article no.:
085
Pages:
819-826
No. of pages:
8
Publication type:
Abstract and Fulltext
Published:
2014-03-10
ISBN:
978-91-7519-380-9
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press; Linköpings universitet


Export in BibTex, RIS or text

Modelica has in its language support for describing discontinuities; so-called events. Modern integrating environments; like Assimulo; provide elaborated event detection and event handling methods. In addition; the overall performance of a simulation of models with discontinuities (hybrid models) depends strongly on methods for restarting integration after event detection. The presented paper reviews two restarting methods; based oRunge--Kutta starters for multistep methods; and presents first experiments on a hybrid system described in Modelica and simulated by JModelica.org/PyFMI and Assimulo.

Keywords: Events; discontinuities; hybrid systems; multistep method; Runge–Kutta method; simulation restart

Proceedings of the 10th International Modelica Conference; March 10-12; 2014; Lund; Sweden

Author:
Fatemeh Mohammadi, Carmen Arévalo, Claus Führer
Title:
Restarting algorithms for simulation problems with discontinuities
DOI:
http://dx.doi.org/10.3384/ecp14096819
References:

[1] Johan Åkesson, Magnus Gäfvert, and Hubertus Tummescheit. JModelica—an open source platform for optimization of modelica models. In Proceedings of MATHMOD 2009 - 6th Vienna International Conference on Mathematical Modelling, Vienna, Austria, February 2009. TU Wien.

[2] Christian Andersson. Assimulo: a new Python based class for simulation of complex hybrid DAEs and its integration in JModelica.org. Master’s thesis, Lund University, 2011.

[3] Christian Andersson, Johan Åkesson, Claus Führer, and Magnus Gäfvert. Import and export of functional mock-up units in JModelica.org. In 8th International Modelica Conference 2011, Dresden, Germany, March 2011.

[4] Torsten Blochwitz, M. Otter, M. Arnold, C. Bausch, C. Clauß, H. Elmqvist, A. Junghanns, J. Mauss, M. Monteiro, T. Neidhold, et al. The functional mockup interface for tool independent exchange of simulation models. In Modelica’2011 Conference, March, pages 20–22, 2011.

[5] C. W. Gear. Runge–Kutta starters for multistep methods. ACM Trans. Math. Softw., 6(3):263–279, September 1980.

[6] Anthony Ralston. Runge–Kutta methods with minimum error bounds. Mathematics of computation, 16(80):431–437, 1962.

[7] Hans J. Stetter. Asymptotic expansions for the error of discretization algorithms for non-linear functional equations. Numerische Mathematik, 7(1):18–31, 1965.

[8] Reinhold von Schwerin and Hans Georg Bock. A Runge–Kutta starter for a multistep method for differential-algebraic systems with discontinuous effects. Applied numerical mathematics, 18(1):337–350, 1995.

Proceedings of the 10th International Modelica Conference; March 10-12; 2014; Lund; Sweden

Author:
Fatemeh Mohammadi, Carmen Arévalo, Claus Führer
Title:
Restarting algorithms for simulation problems with discontinuities
DOI:
http://dx.doi.org/10.3384/ecp14096819
Note: the following are taken directly from CrossRef
Citations:
No citations available at the moment


Responsible for this page: Peter Berkesand
Last updated: 2017-02-21