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A variable time-stepping algorithm for the unsteady Stokes/Darcy model.
- Source :
-
Journal of Computational & Applied Mathematics . Oct2021, Vol. 394, pN.PAG-N.PAG. 1p. - Publication Year :
- 2021
-
Abstract
- This report considers a variable time-stepping algorithm proposed by Dahlquist, Liniger and Nevanlinna and discusses its application to the unsteady Stokes/Darcy model. Although long-time forgotten and little explored, the algorithm performs advantages in variable time-stepping analysis of various fluid flow systems, including the coupled Stokes/Darcy model. We first prove that the approximate solutions to the unsteady Stokes/Darcy model are unconditionally stable due to the G -stability of the method. Then variable time-stepping error analysis follows from the combination of G -stability and consistency of the method. Numerical experiments verify the theoretical results, demonstrating both accuracy and stability of the algorithm. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FLUID flow
*ALGORITHMS
Subjects
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 394
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 150067443
- Full Text :
- https://doi.org/10.1016/j.cam.2021.113521