Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Characteristics-based simulink implementation of first-order quasilinear partial differential equations. / Ponomarev, Anton; Hofmann, Julian; Gröll, Lutz.
SIMULTECH 2020 - Proceedings of the 10th International Conference on Simulation and Modeling Methodologies, Technologies and Applications: Proceedings of the 10th International Conference on Simulation and Modeling Methodologies, Technologies and Applications. ed. / Floriano De Rango; Tuncer Oren; Mohammad Obaidat; Mohammad Obaida; Mohammad Obaidat. SciTePress, 2020. p. 139-146.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
}
TY - GEN
T1 - Characteristics-based simulink implementation of first-order quasilinear partial differential equations
AU - Ponomarev, Anton
AU - Hofmann, Julian
AU - Gröll, Lutz
N1 - Publisher Copyright: © 2020 by SCITEPRESS - Science and Technology Publications, Lda. All rights reserved Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020
Y1 - 2020
N2 - The paper deals with solving first-order quasilinear partial differential equations in an online simulation environment, such as Simulink, utilizing the well-known and well-recommended method of characteristics. Compared to the commonly applied space discretization methods on static grids, the characteristics-based approach provides better numerical stability. Simulink subsystem implementing the method of characteristics is developed. It employs Simulink's built-in solver and its zero-crossing detection algorithm to perform simultaneous integration of a pool of characteristics as well as to create new characteristics dynamically and discard the old ones. Numerical accuracy of the solution thus obtained is established. The subsystem has been tested on a full-state feedback example and produced better results than the space discretization-based “method of lines”. The implementation is available for download and can be used in a wide range of models.
AB - The paper deals with solving first-order quasilinear partial differential equations in an online simulation environment, such as Simulink, utilizing the well-known and well-recommended method of characteristics. Compared to the commonly applied space discretization methods on static grids, the characteristics-based approach provides better numerical stability. Simulink subsystem implementing the method of characteristics is developed. It employs Simulink's built-in solver and its zero-crossing detection algorithm to perform simultaneous integration of a pool of characteristics as well as to create new characteristics dynamically and discard the old ones. Numerical accuracy of the solution thus obtained is established. The subsystem has been tested on a full-state feedback example and produced better results than the space discretization-based “method of lines”. The implementation is available for download and can be used in a wide range of models.
KW - Convection
KW - Method of Characteristics
KW - Partial Differential Equations
KW - Simulink
KW - Transport
UR - http://www.scopus.com/inward/record.url?scp=85091785954&partnerID=8YFLogxK
UR - https://www.researchgate.net/publication/342999954_Characteristics-based_Simulink_Implementation_of_First-order_Quasilinear_Partial_Differential_Equations
M3 - Conference contribution
AN - SCOPUS:85091785954
SP - 139
EP - 146
BT - SIMULTECH 2020 - Proceedings of the 10th International Conference on Simulation and Modeling Methodologies, Technologies and Applications
A2 - De Rango, Floriano
A2 - Oren, Tuncer
A2 - Obaidat, Mohammad
A2 - Obaida, Mohammad
A2 - Obaidat, Mohammad
PB - SciTePress
T2 - 10th International Conference on Simulation and Modeling Methodologies, Technologies and Applications, SIMULTECH 2020
Y2 - 8 July 2020 through 10 July 2020
ER -
ID: 70535547