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Sparsing in Real Time Simulation

Schiela, A. (2002) Sparsing in Real Time Simulation. Diploma. DLR-Interner Bericht. 515-02-28, 75 S.

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Abstract

Modelling of mechatronical systems often leads to large DAEs with stiff components. In real time simulation neither implicit nor explicit methods can cope with such systems in an efficient way: explicit methods have to employ too small steps and implicit methods have to solve too large systems of equations. A solution of this general problem is to use a method that allows manipulations of the Jacobian by computing only those parts that are necessary for the stability of the method. Specifically, manipulation by sparsing aims at zeroing out certain elements of the Jacobian leading t a structure that can be exploited using sparse matrix techniques. The elements to be neglected are chosen by an a priori analysis phase that can be accomplished before the real-time simulaton starts. In this article a sparsing criterion for the linearly implicit Euler method is derived that is based on block diagnonalization and matrix perturbation theory

Document Type:Monograph (DLR-Interner Bericht, Diploma)
Additional Information: LIDO-Berichtsjahr=2004,
Title:Sparsing in Real Time Simulation
Authors:
AuthorsInstitution or Email of Authors
Schiela, A.UNSPECIFIED
Date:2002
Number of Pages:75
Status:Published
Keywords:stiffness, ODE, DAE, sparsing, partitioning
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Space (old)
HGF - Program Themes:W SY - Technik für Raumfahrtsysteme
DLR - Research area:Space
DLR - Program:W SY - Technik für Raumfahrtsysteme
DLR - Research theme (Project):UNSPECIFIED
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics
Deposited By: elib DLR-Beauftragter
Deposited On:16 Sep 2005
Last Modified:14 Jan 2010 18:39

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