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Half-Explicit Exponential Runge-Kutta Methods for Index- 1 DAEs in Helicopter Simulation

Kohlwey, Elena and Röhrig-Zöllner, Melven (2018) Half-Explicit Exponential Runge-Kutta Methods for Index- 1 DAEs in Helicopter Simulation. Mathematics in Computer Science. Springer. ISSN 1661-8270 (Submitted)

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Abstract

In this paper we suggest a combination of exponential integrators and half-explicit Runge-Kutta methods for solving index-1 DAE systems with a stiff linear part in their differential equations. We discuss the behavior of the resulting half-explicit exponential Runge-Kutta (HEERK) methods for a simple numerical example and for a coupled rotor simulation. The coupled rotor simulation is based on a modular software design where all subsystems are modeled by ODEs in state-space form. By connecting the subsystems' inputs and outputs we obtain an index- 1 DAE system. Large terms in the system can be expressed as a stiff linear part which includes strong damping or oscillation terms as well as coefficients for the discretization of the rotor blades (3d beam equations). We show that the proposed HEERK methods can solve the resulting system efficiently with a reasonable timestep size.

Item URL in elib:https://elib.dlr.de/124285/
Document Type:Article
Title:Half-Explicit Exponential Runge-Kutta Methods for Index- 1 DAEs in Helicopter Simulation
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Kohlwey, ElenaElena.Kohlwey (at) dlr.deUNSPECIFIED
Röhrig-Zöllner, MelvenMelven.Roehrig-Zoellner (at) dlr.dehttps://orcid.org/0000-0001-9851-5886
Date:2018
Journal or Publication Title:Mathematics in Computer Science
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:No
Publisher:Springer
ISSN:1661-8270
Status:Submitted
Keywords:Index-1 DAE systems; half-explicit methods; exponential integrators; coupled simulation
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:fixed-wing aircraft
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - VicToria, R - Vorhaben SISTEC
Location: Köln-Porz
Institutes and Institutions:Institut of Simulation and Software Technology > High Performance Computing
Deposited By: Röhrig-Zöllner, Melven
Deposited On:10 Dec 2018 11:04
Last Modified:31 Jul 2019 20:21

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