Efficient Time Integration of IMEX Type using Exponential Integrators for Compressible, Viscous Flow Simulation
(2016) Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung (DMV), Braunschweig 2016 In PAMM - Proceedings in Applied Mathematics and Mechanics 16. p.867-868- Abstract
- We investigate the adaption of the recently developed exponential integrators called EPIRK in the so-called domain-based implicit-explicit (IMEX) setting of spatially discretized PDE's. The EPIRK schemes were shown to be efficient for sufficiently stiff problems and offer high precision and good stability properties like A- and L-stability in theory. In practice, however, we can show that these stability properties are dependent on the parameters of the interior approximation techniques.
Here, we introduce the IMEX-EPIRK method, which consists of coupling an explicit Runge-Kutta scheme with an EPIRK scheme. We briefly analyze its linear stability, show its conservation property and set up a CFL condition. Though the method is... (More) - We investigate the adaption of the recently developed exponential integrators called EPIRK in the so-called domain-based implicit-explicit (IMEX) setting of spatially discretized PDE's. The EPIRK schemes were shown to be efficient for sufficiently stiff problems and offer high precision and good stability properties like A- and L-stability in theory. In practice, however, we can show that these stability properties are dependent on the parameters of the interior approximation techniques.
Here, we introduce the IMEX-EPIRK method, which consists of coupling an explicit Runge-Kutta scheme with an EPIRK scheme. We briefly analyze its linear stability, show its conservation property and set up a CFL condition. Though the method is convergent of only first order, it demonstrates the advantages of this novel type of schemes for stiff problems very well. (Less)
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https://lup.lub.lu.se/record/03a6fd64-b61a-455b-a456-a7825ada089f
- author
- Veronika, Straub ; Ortleb, Sigrun ; Birken, Philipp LU and Meister, Andreas
- organization
- publishing date
- 2016-10-25
- type
- Contribution to journal
- publication status
- published
- subject
- in
- PAMM - Proceedings in Applied Mathematics and Mechanics
- volume
- 16
- pages
- 2 pages
- publisher
- John Wiley & Sons Inc.
- conference name
- Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung (DMV), Braunschweig 2016
- conference location
- Braunschweig, Germany
- conference dates
- 2016-03-07 - 2016-03-11
- ISSN
- 1617-7061
- DOI
- 10.1002/pamm.201610422
- language
- English
- LU publication?
- yes
- additional info
- Vol. 16 of PAMM is a special issue dedicated to the proceedings of the Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung (DMV), Braunschweig 2016
- id
- 03a6fd64-b61a-455b-a456-a7825ada089f
- date added to LUP
- 2016-10-31 13:29:38
- date last changed
- 2018-11-21 21:29:34
@article{03a6fd64-b61a-455b-a456-a7825ada089f, abstract = {{We investigate the adaption of the recently developed exponential integrators called EPIRK in the so-called domain-based implicit-explicit (IMEX) setting of spatially discretized PDE's. The EPIRK schemes were shown to be efficient for sufficiently stiff problems and offer high precision and good stability properties like A- and L-stability in theory. In practice, however, we can show that these stability properties are dependent on the parameters of the interior approximation techniques.<br/><br/>Here, we introduce the IMEX-EPIRK method, which consists of coupling an explicit Runge-Kutta scheme with an EPIRK scheme. We briefly analyze its linear stability, show its conservation property and set up a CFL condition. Though the method is convergent of only first order, it demonstrates the advantages of this novel type of schemes for stiff problems very well.}}, author = {{Veronika, Straub and Ortleb, Sigrun and Birken, Philipp and Meister, Andreas}}, issn = {{1617-7061}}, language = {{eng}}, month = {{10}}, pages = {{867--868}}, publisher = {{John Wiley & Sons Inc.}}, series = {{PAMM - Proceedings in Applied Mathematics and Mechanics}}, title = {{Efficient Time Integration of IMEX Type using Exponential Integrators for Compressible, Viscous Flow Simulation}}, url = {{http://dx.doi.org/10.1002/pamm.201610422}}, doi = {{10.1002/pamm.201610422}}, volume = {{16}}, year = {{2016}}, }