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

Veronika Straub; Sigrun Ortleb; Philipp Birken; Andreas Meister

doi:10.1002/pamm.201900142

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

Veronika Straub, Sigrun Ortleb, Philipp Birken, Andreas Meister

University of Kassel

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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.

Original language	English
Title of host publication	Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
Publisher	Gesellschaft für angewandte Mathematik und Mechanik (GAMM)
Number of pages	2
Volume	19
Edition	1
DOIs	https://doi.org/10.1002/pamm.201900142
Publication status	Published - 2019
Event	GAMM Annual Meeting, 2019 - TU Wien, Vienna, Austria Duration: 2019 Feb 18 → 2019 Feb 22 Conference number: 90 https://jahrestagung.gamm-ev.de/index.php/2019/2019-annual-meeting

Publication series

Name	Proceedings in Applied Mathematics and Mechanics (PAMM)
Publisher	Wiley
Number	1
Volume	19
ISSN (Electronic)	1617-7061

Conference

Conference	GAMM Annual Meeting, 2019
Country/Territory	Austria
City	Vienna
Period	2019/02/18 → 2019/02/22
Internet address	https://jahrestagung.gamm-ev.de/index.php/2019/2019-annual-meeting

Subject classification (UKÄ)

Computational Mathematics

Access to Document

10.1002/pamm.201900142

Partial Differential Equations
Svensson S, D. (Researcher), Bennewitz, C. (Researcher), Birken, P. (Researcher), Dencker, N. (Researcher), Diehl, S. (Researcher), Holst, A. (Researcher), Maad Sasane, S. (Researcher), Nilsson, D. (Researcher), Overgaard, N. C. (Researcher), Persson Sundqvist, M. (Researcher), Pettersson, P. (Researcher), Sopasakis, A. (Researcher), Wahlén, E. (Researcher) & Wittsten, J. (Researcher)
1990/01/01 → …
Project: Research
Numerical Analysis and Scientific Computing
Meisrimel, P. (Researcher), Versbach, L. M. (Researcher), Arévalo, C. (Researcher), Birken, P. (Researcher), Diehl, S. (Researcher), Führer, C. (Researcher), Gunnarsson, J. K. (Researcher), Guo, M. (Researcher), Klöfkorn, R. (Researcher), Kotarsky, N. (Researcher), Mohammadi, F. (Researcher), Monge, A. (Researcher), Schüller, V. (Researcher), Sopasakis, A. (Researcher), Söderlind, G. (Researcher), Santillan Moreno, C. A. (Researcher), Rockstroh, A. (Researcher) & Lu, L. (Researcher)
1984/01/01 → …
Project: Research

Cite this

Straub, V., Ortleb, S., Birken, P., & Meister, A. (2019). A new domain‐based implicit‐explicit time stepping scheme based on the class of exponential integrators called sEPIRK. In Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) (1 ed., Vol. 19). Article e201900142 (Proceedings in Applied Mathematics and Mechanics (PAMM); Vol. 19, No. 1). Gesellschaft für angewandte Mathematik und Mechanik (GAMM). https://doi.org/10.1002/pamm.201900142

Straub, Veronika ; Ortleb, Sigrun ; Birken, Philipp et al. / A new domain‐based implicit‐explicit time stepping scheme based on the class of exponential integrators called sEPIRK. Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). Vol. 19 1. ed. Gesellschaft für angewandte Mathematik und Mechanik (GAMM), 2019. (Proceedings in Applied Mathematics and Mechanics (PAMM); 1).

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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 = "Veronika Straub and Sigrun Ortleb and Philipp Birken and Andreas Meister",

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doi = "10.1002/pamm.201900142",

language = "English",

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series = "Proceedings in Applied Mathematics and Mechanics (PAMM)",

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booktitle = "Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)",

edition = "1",

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Straub, V, Ortleb, S, Birken, P & Meister, A 2019, A new domain‐based implicit‐explicit time stepping scheme based on the class of exponential integrators called sEPIRK. in Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). 1 edn, vol. 19, e201900142, Proceedings in Applied Mathematics and Mechanics (PAMM), no. 1, vol. 19, Gesellschaft für angewandte Mathematik und Mechanik (GAMM), GAMM Annual Meeting, 2019, Vienna, Austria, 2019/02/18. https://doi.org/10.1002/pamm.201900142

A new domain‐based implicit‐explicit time stepping scheme based on the class of exponential integrators called sEPIRK. / Straub, Veronika; Ortleb, Sigrun; Birken, Philipp et al.
Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). Vol. 19 1. ed. Gesellschaft für angewandte Mathematik und Mechanik (GAMM), 2019. e201900142 (Proceedings in Applied Mathematics and Mechanics (PAMM); Vol. 19, No. 1).

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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AU - Meister, Andreas

N1 - Conference code: 90

PY - 2019

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N2 - 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.

AB - 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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DO - 10.1002/pamm.201900142

M3 - Paper in conference proceeding

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T3 - Proceedings in Applied Mathematics and Mechanics (PAMM)

BT - Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)

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Straub V, Ortleb S, Birken P, Meister A. A new domain‐based implicit‐explicit time stepping scheme based on the class of exponential integrators called sEPIRK. In Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). 1 ed. Vol. 19. Gesellschaft für angewandte Mathematik und Mechanik (GAMM). 2019. e201900142. (Proceedings in Applied Mathematics and Mechanics (PAMM); 1). doi: 10.1002/pamm.201900142

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

Abstract

Publication series

Conference

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Projects

Partial Differential Equations

Numerical Analysis and Scientific Computing

Cite this