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Titel:

Algebraically stable SDIRK methods with controllable numerical dissipation for first/second-order time-dependent problems

Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
Wang, Yazhou; Xue, Xiaodai; Tamma, Kumar K.; Adams, Nikolaus A.
Abstract:
In this paper, a family of four-stage singly diagonally implicit Runge-Kutta methods are proposed to solve first-/second-order time-dependent problems, exhibiting the following numerical properties: fourth-order accuracy in time, unconditional stability, controllable numerical dissipation, and adaptive time step selection. The BN-stability condition is employed as a constraint to optimize parameters in the Butcher table, having significant benefits, and hence is recommended for nonlinear dynamic...     »
Stichworte:
Nonlinear stability; Numerical dissipation and dispersion; Singly diagonally implicit Runge-Kutta; Stability analysis; Time discretization
Dewey Dezimalklassifikation:
620 Ingenieurwissenschaften
Zeitschriftentitel:
Journal of Computational Physics
Jahr:
2024
Band / Volume:
508
Seitenangaben Beitrag:
113032
Nachgewiesen in:
Scopus
Sprache:
en
Volltext / DOI:
doi:10.1016/j.jcp.2024.113032
WWW:
https://www.sciencedirect.com/science/article/pii/S002199912400281X
Verlag / Institution:
Elsevier BV
E-ISSN:
0021-9991
Hinweise:
Funding text The author Dr. Yazhou Wang would like to express appreciation for the financial support from the Alexander von Humboldt Foundation, Germany. The author Prof. Xiaodai Xue is supported by the National Key Research and Development Program of China-National Quality Infrastructure System (2023YFF0615000) and The Science and Technology Project of China Three Gorges Corporation (Grant No. 202103404).
Eingereicht (bei Zeitschrift):
29.11.2023
Angenommen (von Zeitschrift):
16.04.2024
Publikationsdatum:
01.07.2024
TUM Einrichtung:
Lehrstuhl für Aerodynamik und Strömungsmechanik
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