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A new domain‐based implicit‐explicit time stepping scheme based on the class of exponential integrators called sEPIRK

Straub, Veronika ; Ortleb, Sigrun ; Birken, Philipp LU and Meister, Andreas (2019) GAMM Annual Meeting, 2019 In Proceedings in Applied Mathematics and Mechanics (PAMM) 19(1).
Abstract
Reliable simulations of flows in real applications involve the task of discretizing both space and time in an accurate and efficient way. To cope with the large semidiscrete systems resulting from a space discretization on appropriate grids, which often include comparatively few very small cells near solid walls for boundary layer resolution, an implicit-explicit time stepping scheme can be the most efficient variant. We present such a type of scheme utilizing recent exponential integrators called sEPIRK and show its computational advantages opposed to IMEX-Runge-Kutta schemes.
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author
; ; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
series title
Proceedings in Applied Mathematics and Mechanics (PAMM)
volume
19
issue
1
article number
e201900142
edition
1
pages
2 pages
publisher
Gesellschaft für angewandte Mathematik und Mechanik (GAMM)
conference name
GAMM Annual Meeting, 2019
conference location
Vienna, Austria
conference dates
2019-02-18 - 2019-02-22
ISSN
1617-7061
DOI
10.1002/pamm.201900142
language
English
LU publication?
yes
id
728ebea1-0913-46d6-841b-a9dd6d1e2cc0
date added to LUP
2020-05-06 10:41:47
date last changed
2022-02-08 16:05:31
@inproceedings{728ebea1-0913-46d6-841b-a9dd6d1e2cc0,
  abstract     = {{Reliable simulations of flows in real applications involve the task of discretizing both space and time in an accurate and efficient way. To cope with the large semidiscrete systems resulting from a space discretization on appropriate grids, which often include comparatively few very small cells near solid walls for boundary layer resolution, an implicit-explicit time stepping scheme can be the most efficient variant. We present such a type of scheme utilizing recent exponential integrators called sEPIRK and show its computational advantages opposed to IMEX-Runge-Kutta schemes.}},
  author       = {{Straub, Veronika and Ortleb, Sigrun and Birken, Philipp and Meister, Andreas}},
  booktitle    = {{Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)}},
  issn         = {{1617-7061}},
  language     = {{eng}},
  number       = {{1}},
  publisher    = {{Gesellschaft für angewandte Mathematik und Mechanik (GAMM)}},
  series       = {{Proceedings in Applied Mathematics and Mechanics (PAMM)}},
  title        = {{A new domain‐based implicit‐explicit time stepping scheme based on the class of exponential integrators called sEPIRK}},
  url          = {{http://dx.doi.org/10.1002/pamm.201900142}},
  doi          = {{10.1002/pamm.201900142}},
  volume       = {{19}},
  year         = {{2019}},
}