Journal article 20 views
New implicit time integration schemes combining high frequency damping with high second order accuracy
Wulf Dettmer 
,
Eman Alhayki
,
Eman Alhayki
Journal of Computational Physics, Start page: 113260
Swansea University Authors:
Wulf Dettmer , Eman Alhayki
Full text not available from this repository: check for access using links below.
DOI (Published version): 10.1016/j.jcp.2024.113260
Abstract
It is shown that weighted linear combinations of the generalised-α method and certain related higher order schemes allow for the formulation of unconditionally stable single step time integration methods with improved second order accuracy and more targeted high-frequency damping. It is also shown t...
| Published in: | Journal of Computational Physics |
|---|---|
| ISSN: | 0021-9991 |
| Published: |
Elsevier BV
2024
|
| Online Access: |
Check full text
|
| URI: | https://cronfa.swan.ac.uk/Record/cronfa67063 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract: |
It is shown that weighted linear combinations of the generalised-α method and certain related higher order schemes allow for the formulation of unconditionally stable single step time integration methods with improved second order accuracy and more targeted high-frequency damping. It is also shown that, if the user controlled high frequency damping parameter is set to zero, the new schemes can be expressed as linear multistep backward difference formulae and, in a particular case, recover Park's method. The performance of the proposed methods is illustrated in terms of mathematical analysis and a number of linear and nonlinear numerical examples including finite element based solutions of the incompressible Navier-Stokes equations. |
|---|---|
| Keywords: |
Implicit numerical time integration; Generalised-α method; Backward difference formulae; Unconditional stability; Accuracy |
| College: |
Faculty of Science and Engineering |
| Start Page: |
113260 |