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

Kohlwey, Elena and Röhrig-Zöllner, Melven (2019) Half-Explicit Exponential Runge-Kutta Methods for Index- 1 DAEs in Helicopter Simulation. Mathematics in Computer Science, 13 (3), pp. 341-365. Springer. doi: 10.1007/s11786-019-00400-z. ISSN 1661-8270.

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Official URL: https://doi.org/10.1007/s11786-019-00400-z


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/132062/
Document Type:Article
Title:Half-Explicit Exponential Runge-Kutta Methods for Index- 1 DAEs in Helicopter Simulation
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Röhrig-Zöllner, MelvenUNSPECIFIEDhttps://orcid.org/0000-0001-9851-5886UNSPECIFIED
Date:1 September 2019
Journal or Publication Title:Mathematics in Computer Science
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:Yes
Page Range:pp. 341-365
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 (old), R - Vorhaben SISTEC (old)
Location: Köln-Porz
Institutes and Institutions:Institut of Simulation and Software Technology > High Performance Computing
Institut of Simulation and Software Technology
Deposited By: Röhrig-Zöllner, Melven
Deposited On:10 Dec 2019 09:13
Last Modified:21 Nov 2023 07:02

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