User: Guest  Login
Title:

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

Document type:
Zeitschriftenaufsatz
Author(s):
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...     »
Keywords:
Nonlinear stability; Numerical dissipation and dispersion; Singly diagonally implicit Runge-Kutta; Stability analysis; Time discretization
Dewey Decimal Classification:
620 Ingenieurwissenschaften
Journal title:
Journal of Computational Physics
Year:
2024
Journal volume:
508
Pages contribution:
113032
Covered by:
Scopus
Language:
en
Fulltext / DOI:
doi:10.1016/j.jcp.2024.113032
WWW:
https://www.sciencedirect.com/science/article/pii/S002199912400281X
Publisher:
Elsevier BV
E-ISSN:
0021-9991
Notes:
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).
Submitted:
29.11.2023
Accepted:
16.04.2024
Date of publication:
01.07.2024
TUM Institution:
Lehrstuhl für Aerodynamik und Strömungsmechanik
 BibTeX