Adopting (s)EPIRK schemes in a domain-based IMEX setting

Veronika Straub, Sigrun Ortleb, Philipp Birken, Andreas Meister

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review

Abstract

The simulation of viscous, compressible flows around complex geometries or similar applications often inherit the task of solving large, stiff systems of ODEs. Domain-based implicit-explicit (IMEX) type schemes offer the possibility to apply two different schemes to different parts of the computational domain. The goal hereby is to decrease the computational cost by increasing the admissible step sizes with no loss of stability and by reducing the system sizes of the linear solver within the implicit integrator. But which combination of methods reaches the largest gain in efficiency? Coupling of Runge-Kutta methods or different multistep methods has been investigated so far by other authors. Here, we inspect the adoption of the recently introduced exponential integrators called EPIRK and sEPIRK in the IMEX setting, since they are perfectly suited for large, stiff systems of ODEs.

Original languageEnglish
Title of host publicationProceedings of ICNAAM 2016, AIP Conference Proceedings 1863
PublisherAmerican Institute of Physics (AIP)
Volume410008
ISBN (Electronic)9780735415386
DOIs
Publication statusPublished - 2017 Jul 21
EventInternational Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 - Rhodes, Rhodes, Greece
Duration: 2016 Sept 192016 Sept 25

Conference

ConferenceInternational Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016
Abbreviated titleICNAAM 2016
Country/TerritoryGreece
CityRhodes
Period2016/09/192016/09/25

Subject classification (UKÄ)

  • Computational Mathematics

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